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<button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Bijnens%2C+J&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Bijnens%2C+J&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Bijnens%2C+J&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> </ul> </nav> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2401.14293">arXiv:2401.14293</a> <span> [<a href="https://arxiv.org/pdf/2401.14293">pdf</a>, <a href="https://arxiv.org/format/2401.14293">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP03(2024)048">10.1007/JHEP03(2024)048 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The three-pion $K$-matrix at NLO in ChPT </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Baeza-Ballesteros%2C+J">Jorge Baeza-Ballesteros</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Husek%2C+T">Tom谩拧 Husek</a>, <a href="/search/hep-lat?searchtype=author&query=Romero-L%C3%B3pez%2C+F">Fernando Romero-L贸pez</a>, <a href="/search/hep-lat?searchtype=author&query=Sharpe%2C+S+R">Stephen R. Sharpe</a>, <a href="/search/hep-lat?searchtype=author&query=Sj%C3%B6%2C+M">Mattias Sj枚</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2401.14293v1-abstract-short" style="display: inline;"> The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work do… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2401.14293v1-abstract-full').style.display = 'inline'; document.getElementById('2401.14293v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2401.14293v1-abstract-full" style="display: none;"> The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2401.14293v1-abstract-full').style.display = 'none'; document.getElementById('2401.14293v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 January, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">44 pages, 8 figures, 10 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5670 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 03 (2024) 048 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2311.02923">arXiv:2311.02923</a> <span> [<a href="https://arxiv.org/pdf/2311.02923">pdf</a>, <a href="https://arxiv.org/format/2311.02923">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Workshop summary -- Kaons@CERN 2023 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Anzivino%2C+G">G. Anzivino</a>, <a href="/search/hep-lat?searchtype=author&query=Cuendis%2C+S+A">S. Arguedas Cuendis</a>, <a href="/search/hep-lat?searchtype=author&query=Bernard%2C+V">V. Bernard</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Bloch-Devaux%2C+B">B. Bloch-Devaux</a>, <a href="/search/hep-lat?searchtype=author&query=Bordone%2C+M">M. Bordone</a>, <a href="/search/hep-lat?searchtype=author&query=Brizioli%2C+F">F. Brizioli</a>, <a href="/search/hep-lat?searchtype=author&query=Brod%2C+J">J. Brod</a>, <a href="/search/hep-lat?searchtype=author&query=Camalich%2C+J+M">J. M. Camalich</a>, <a href="/search/hep-lat?searchtype=author&query=Ceccucci%2C+A">A. Ceccucci</a>, <a href="/search/hep-lat?searchtype=author&query=Cenci%2C+P">P. Cenci</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">N. H. Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Cornella%2C+C">C. Cornella</a>, <a href="/search/hep-lat?searchtype=author&query=Crivellin%2C+A">A. Crivellin</a>, <a href="/search/hep-lat?searchtype=author&query=D%27Ambrosio%2C+G">G. D'Ambrosio</a>, <a href="/search/hep-lat?searchtype=author&query=Deppisch%2C+F+F">F. F. Deppisch</a>, <a href="/search/hep-lat?searchtype=author&query=Dery%2C+A">A. Dery</a>, <a href="/search/hep-lat?searchtype=author&query=Dettori%2C+F">F. Dettori</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">M. Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=D%C3%B6brich%2C+B">B. D枚brich</a>, <a href="/search/hep-lat?searchtype=author&query=Engelfried%2C+J">J. Engelfried</a>, <a href="/search/hep-lat?searchtype=author&query=Fantechi%2C+R">R. Fantechi</a>, <a href="/search/hep-lat?searchtype=author&query=Gonz%C3%A1lez-Alonso%2C+M">M. Gonz谩lez-Alonso</a>, <a href="/search/hep-lat?searchtype=author&query=Gorbahn%2C+M">M. Gorbahn</a> , et al. (38 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2311.02923v3-abstract-short" style="display: inline;"> Kaon physics is at a turning point -- while the rare-kaon experiments NA62 and KOTO are in full swing, the end of their lifetime is approaching and the future experimental landscape needs to be defined. With HIKE, KOTO-II and LHCb-Phase-II on the table and under scrutiny, it is a very good moment in time to take stock and contemplate about the opportunities these experiments and theoretical develo… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.02923v3-abstract-full').style.display = 'inline'; document.getElementById('2311.02923v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2311.02923v3-abstract-full" style="display: none;"> Kaon physics is at a turning point -- while the rare-kaon experiments NA62 and KOTO are in full swing, the end of their lifetime is approaching and the future experimental landscape needs to be defined. With HIKE, KOTO-II and LHCb-Phase-II on the table and under scrutiny, it is a very good moment in time to take stock and contemplate about the opportunities these experiments and theoretical developments provide for particle physics in the coming decade and beyond. This paper provides a compact summary of talks and discussions from the Kaons@CERN 2023 workshop. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.02923v3-abstract-full').style.display = 'none'; document.getElementById('2311.02923v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 May, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 November, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">55 pages, Summary of Kaons@CERN 23 workshop, references updated, typos fixed, version as published in EPJC</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2023-206 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2309.17107">arXiv:2309.17107</a> <span> [<a href="https://arxiv.org/pdf/2309.17107">pdf</a>, <a href="https://arxiv.org/ps/2309.17107">ps</a>, <a href="https://arxiv.org/format/2309.17107">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.nuclphysbps.2023.09.023">10.1016/j.nuclphysbps.2023.09.023 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Three-pion scattering: From the chiral Lagrangian to the lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Baeza-Ballesteros%2C+J">Jorge Baeza-Ballesteros</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Husek%2C+T">Tom谩拧 Husek</a>, <a href="/search/hep-lat?searchtype=author&query=Romero-L%C3%B3pez%2C+F">Fernando Romero-L贸pez</a>, <a href="/search/hep-lat?searchtype=author&query=Sharpe%2C+S+R">Stephen R. Sharpe</a>, <a href="/search/hep-lat?searchtype=author&query=Sj%C3%B6%2C+M">Mattias Sj枚</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2309.17107v1-abstract-short" style="display: inline;"> In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting study of multi-meson dynamics in its own right, it provides a valuable handle on finite-volume effects and the pion mass dependence, thus complementing the lattice… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.17107v1-abstract-full').style.display = 'inline'; document.getElementById('2309.17107v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2309.17107v1-abstract-full" style="display: none;"> In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting study of multi-meson dynamics in its own right, it provides a valuable handle on finite-volume effects and the pion mass dependence, thus complementing the lattice results. I present our derivation of the next-to-leading order amplitude for this process, as well as its conversion into the three-particle K-matrix, which enables direct comparison to the lattice. Our results significantly improve the agreement between theory and lattice, which was poor when only leading-order effects were taken into account. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.17107v1-abstract-full').style.display = 'none'; document.getElementById('2309.17107v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 September, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Contribution to the 26th high-energy physics international conference in quantum chromodynamics (QCD23)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5598, LU TP 23-11 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2303.13206">arXiv:2303.13206</a> <span> [<a href="https://arxiv.org/pdf/2303.13206">pdf</a>, <a href="https://arxiv.org/ps/2303.13206">ps</a>, <a href="https://arxiv.org/format/2303.13206">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP05(2023)187">10.1007/JHEP05(2023)187 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The isospin-3 three-particle $K$-matrix at NLO in ChPT </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Baeza-Ballesteros%2C+J">Jorge Baeza-Ballesteros</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Husek%2C+T">Tom谩拧 Husek</a>, <a href="/search/hep-lat?searchtype=author&query=Romero-L%C3%B3pez%2C+F">Fernando Romero-L贸pez</a>, <a href="/search/hep-lat?searchtype=author&query=Sharpe%2C+S+R">Stephen R. Sharpe</a>, <a href="/search/hep-lat?searchtype=author&query=Sj%C3%B6%2C+M">Mattias Sj枚</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2303.13206v2-abstract-short" style="display: inline;"> The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.13206v2-abstract-full').style.display = 'inline'; document.getElementById('2303.13206v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2303.13206v2-abstract-full" style="display: none;"> The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of $\mathcal{K}_{\mathrm{df},3}$ is significantly improved with respect to leading order once NLO effects are incorporated. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.13206v2-abstract-full').style.display = 'none'; document.getElementById('2303.13206v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 24 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 23 March, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">57 pages, 12 figures, 2 tables; v2: added sec. 2.3, minor changes, typos corrected, conclusions unchanged, version published in JHEP</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 23-03, MIT-CTP/5541 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 05 (2023) 187 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2206.14212">arXiv:2206.14212</a> <span> [<a href="https://arxiv.org/pdf/2206.14212">pdf</a>, <a href="https://arxiv.org/format/2206.14212">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.106.054021">10.1103/PhysRevD.106.054021 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Six-meson amplitude in QCD-like theories </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Husek%2C+T">Tom谩拧 Husek</a>, <a href="/search/hep-lat?searchtype=author&query=Sj%C3%B6%2C+M">Mattias Sj枚</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2206.14212v2-abstract-short" style="display: inline;"> We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with $n$ degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudo-real representations, i.e. with global symmetry and breaking patterns $\text{SU}(n)\times\text{SU}(n)/\text{SU}(n)$ (extending the QCD case),… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.14212v2-abstract-full').style.display = 'inline'; document.getElementById('2206.14212v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2206.14212v2-abstract-full" style="display: none;"> We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with $n$ degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudo-real representations, i.e. with global symmetry and breaking patterns $\text{SU}(n)\times\text{SU}(n)/\text{SU}(n)$ (extending the QCD case), $\text{SU}(2n)/\text{SO}(2n)$, and $\text{SU}(2n)/\text{Sp}(2n)$. In case of the one-particle-irreducible part, we obtain analytical expressions in terms of 10 six-meson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the $\text{O}(N+1)/\text{O}(N)$ non-linear sigma model, with $N$ being the number of meson flavors. This work allows for studying a number of properties of six-particle amplitudes at one-loop level. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.14212v2-abstract-full').style.display = 'none'; document.getElementById('2206.14212v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 September, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">19 pages, 9 figures, 1 table; v2: version accepted for publication in PRD, minor text improvements</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 22-45 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 106, 054021 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2203.15810">arXiv:2203.15810</a> <span> [<a href="https://arxiv.org/pdf/2203.15810">pdf</a>, <a href="https://arxiv.org/format/2203.15810">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Prospects for precise predictions of $a_渭$ in the Standard Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Davier%2C+M">M. Davier</a>, <a href="/search/hep-lat?searchtype=author&query=El-Khadra%2C+A+X">A. X. El-Khadra</a>, <a href="/search/hep-lat?searchtype=author&query=Hoferichter%2C+M">M. Hoferichter</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Lellouch%2C+L">L. Lellouch</a>, <a href="/search/hep-lat?searchtype=author&query=Mibe%2C+T">T. Mibe</a>, <a href="/search/hep-lat?searchtype=author&query=Roberts%2C+B+L">B. L. Roberts</a>, <a href="/search/hep-lat?searchtype=author&query=Teubner%2C+T">T. Teubner</a>, <a href="/search/hep-lat?searchtype=author&query=Wittig%2C+H">H. Wittig</a>, <a href="/search/hep-lat?searchtype=author&query=Ananthanarayan%2C+B">B. Ananthanarayan</a>, <a href="/search/hep-lat?searchtype=author&query=Bashir%2C+A">A. Bashir</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">P. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Bray-Ali%2C+N">N. Bray-Ali</a>, <a href="/search/hep-lat?searchtype=author&query=Caprini%2C+I">I. Caprini</a>, <a href="/search/hep-lat?searchtype=author&query=Calame%2C+C+M+C">C. M. Carloni Calame</a>, <a href="/search/hep-lat?searchtype=author&query=Cat%C3%A0%2C+O">O. Cat脿</a>, <a href="/search/hep-lat?searchtype=author&query=C%C3%A8%2C+M">M. C猫</a>, <a href="/search/hep-lat?searchtype=author&query=Charles%2C+J">J. Charles</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">N. H. Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Curciarello%2C+F">F. Curciarello</a>, <a href="/search/hep-lat?searchtype=author&query=Danilkin%2C+I">I. Danilkin</a>, <a href="/search/hep-lat?searchtype=author&query=Das%2C+D">D. Das</a> , et al. (57 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2203.15810v1-abstract-short" style="display: inline;"> We discuss the prospects for improving the precision on the hadronic corrections to the anomalous magnetic moment of the muon, and the plans of the Muon $g-2$ Theory Initiative to update the Standard Model prediction. </span> <span class="abstract-full has-text-grey-dark mathjax" id="2203.15810v1-abstract-full" style="display: none;"> We discuss the prospects for improving the precision on the hadronic corrections to the anomalous magnetic moment of the muon, and the plans of the Muon $g-2$ Theory Initiative to update the Standard Model prediction. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.15810v1-abstract-full').style.display = 'none'; document.getElementById('2203.15810v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 March, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Contribution to the US Community Study on the Future of Particle Physics (Snowmass 2021)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-CONF-22-236-T, LTH 1303, MITP-22-030 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.06291">arXiv:2107.06291</a> <span> [<a href="https://arxiv.org/pdf/2107.06291">pdf</a>, <a href="https://arxiv.org/format/2107.06291">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.104.054046">10.1103/PhysRevD.104.054046 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Six-pion amplitude </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Husek%2C+T">Tom谩拧 Husek</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.06291v2-abstract-short" style="display: inline;"> Within the framework of the massive O($N$) nonlinear sigma model extended to the next-to-leading order in the chiral counting (for $N=3$ corresponding to the two(-quark)-flavor Chiral Perturbation Theory), we calculate the relativistic six-pion scattering amplitude at low energy up to and including terms $\mathcal{O}(p^4)$. Results for the pion mass, decay constant and the four-pion amplitude in t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.06291v2-abstract-full').style.display = 'inline'; document.getElementById('2107.06291v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.06291v2-abstract-full" style="display: none;"> Within the framework of the massive O($N$) nonlinear sigma model extended to the next-to-leading order in the chiral counting (for $N=3$ corresponding to the two(-quark)-flavor Chiral Perturbation Theory), we calculate the relativistic six-pion scattering amplitude at low energy up to and including terms $\mathcal{O}(p^4)$. Results for the pion mass, decay constant and the four-pion amplitude in the case of $N$ (meson) flavors at $\mathcal{O}(p^4)$ are also presented. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.06291v2-abstract-full').style.display = 'none'; document.getElementById('2107.06291v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 September, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 13 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 5 figures, 1 table; v2: accepted by PRD, minor text improvements, references added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 21-30 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 104, 054046 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2006.04822">arXiv:2006.04822</a> <span> [<a href="https://arxiv.org/pdf/2006.04822">pdf</a>, <a href="https://arxiv.org/format/2006.04822">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.physrep.2020.07.006">10.1016/j.physrep.2020.07.006 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The anomalous magnetic moment of the muon in the Standard Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Aoyama%2C+T">T. Aoyama</a>, <a href="/search/hep-lat?searchtype=author&query=Asmussen%2C+N">N. Asmussen</a>, <a href="/search/hep-lat?searchtype=author&query=Benayoun%2C+M">M. Benayoun</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Bruno%2C+M">M. Bruno</a>, <a href="/search/hep-lat?searchtype=author&query=Caprini%2C+I">I. Caprini</a>, <a href="/search/hep-lat?searchtype=author&query=Calame%2C+C+M+C">C. M. Carloni Calame</a>, <a href="/search/hep-lat?searchtype=author&query=C%C3%A8%2C+M">M. C猫</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Curciarello%2C+F">F. Curciarello</a>, <a href="/search/hep-lat?searchtype=author&query=Czy%C5%BC%2C+H">H. Czy偶</a>, <a href="/search/hep-lat?searchtype=author&query=Danilkin%2C+I">I. Danilkin</a>, <a href="/search/hep-lat?searchtype=author&query=Davier%2C+M">M. Davier</a>, <a href="/search/hep-lat?searchtype=author&query=Davies%2C+C+T+H">C. T. H. Davies</a>, <a href="/search/hep-lat?searchtype=author&query=Della+Morte%2C+M">M. Della Morte</a>, <a href="/search/hep-lat?searchtype=author&query=Eidelman%2C+S+I">S. I. Eidelman</a>, <a href="/search/hep-lat?searchtype=author&query=El-Khadra%2C+A+X">A. X. El-Khadra</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%A9rardin%2C+A">A. G茅rardin</a>, <a href="/search/hep-lat?searchtype=author&query=Giusti%2C+D">D. Giusti</a>, <a href="/search/hep-lat?searchtype=author&query=Golterman%2C+M">M. Golterman</a>, <a href="/search/hep-lat?searchtype=author&query=Gottlieb%2C+S">Steven Gottlieb</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">V. G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hagelstein%2C+F">F. Hagelstein</a>, <a href="/search/hep-lat?searchtype=author&query=Hayakawa%2C+M">M. Hayakawa</a> , et al. (107 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2006.04822v2-abstract-short" style="display: inline;"> We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $伪$ and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including $\mathcal{O}(伪^5)$ with negligible numerical… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2006.04822v2-abstract-full').style.display = 'inline'; document.getElementById('2006.04822v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2006.04822v2-abstract-full" style="display: none;"> We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $伪$ and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including $\mathcal{O}(伪^5)$ with negligible numerical uncertainty. The electroweak contribution is suppressed by $(m_渭/M_W)^2$ and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at $\mathcal{O}(伪^2)$ and is due to hadronic vacuum polarization, whereas at $\mathcal{O}(伪^3)$ the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads $a_渭^\text{SM}=116\,591\,810(43)\times 10^{-11}$ and is smaller than the Brookhaven measurement by 3.7$蟽$. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future-which are also discussed here-make this quantity one of the most promising places to look for evidence of new physics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2006.04822v2-abstract-full').style.display = 'none'; document.getElementById('2006.04822v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 November, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 June, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">196 pages, 103 figures, version published in Phys. Rept., bib files for the citation references are available from: https://muon-gm2-theory.illinois.edu</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-PUB-20-207-T, INT-PUB-20-021, KEK Preprint 2020-5, MITP/20-028, CERN-TH-2020-075, IFT-UAM/CSIC-20-74, LMU-ASC 18/20, LTH 1234, LU TP 20-20, MAN/HEP/2020/003, PSI-PR-20-06, UWThPh 2020-14, ZU-TH 18/20 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rept. 887 (2020) 1-166 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1910.03250">arXiv:1910.03250</a> <span> [<a href="https://arxiv.org/pdf/1910.03250">pdf</a>, <a href="https://arxiv.org/format/1910.03250">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Electromagnetic finite-size effects to the hadronic vacuum polarisation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">James Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=Janowski%2C+T">Tadeusz Janowski</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1910.03250v1-abstract-short" style="display: inline;"> In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size effects are potentially large due to the absence of a mass gap. This means that the finite-size effects scale as an inverse polynomial in $L$ rather than being expone… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1910.03250v1-abstract-full').style.display = 'inline'; document.getElementById('1910.03250v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1910.03250v1-abstract-full" style="display: none;"> In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size effects are potentially large due to the absence of a mass gap. This means that the finite-size effects scale as an inverse polynomial in $L$ rather than being exponentially suppressed. Considering the $\mathcal{O}(伪)$ corrected hadronic vacuum polarisation in QED$_{\mathrm{L}}$ with scalar QED as an effective theory, we show that the first possible term, which is of order $1/L^{2}$, vanishes identically so that the finite-size effects start at order $1/L^{3}$. This cancellation is understood from the neutrality of the currents involved, and we show that this cancellation is universal by also including form factors for the pions. We find good numerical agreement with lattice perturbation theory calculations, as well as, up to exponentially suppressed terms, scalar QED lattice simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1910.03250v1-abstract-full').style.display = 'none'; document.getElementById('1910.03250v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 October, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Proceedings for 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 19-47 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1903.10591">arXiv:1903.10591</a> <span> [<a href="https://arxiv.org/pdf/1903.10591">pdf</a>, <a href="https://arxiv.org/format/1903.10591">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.100.014508">10.1103/PhysRevD.100.014508 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Electromagnetic finite-size effects to the hadronic vacuum polarization </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">J. Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">N. Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Janowski%2C+T">T. Janowski</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1903.10591v1-abstract-short" style="display: inline;"> In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This requires the inclusion of $\mathcal{O}(伪)$ electromagnetic corrections. The inclusion of electromagnetic interactions in lattice simulations is known to generate p… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.10591v1-abstract-full').style.display = 'inline'; document.getElementById('1903.10591v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1903.10591v1-abstract-full" style="display: none;"> In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This requires the inclusion of $\mathcal{O}(伪)$ electromagnetic corrections. The inclusion of electromagnetic interactions in lattice simulations is known to generate potentially large finite-size effects suppressed only by powers of the inverse spatial extent. In this paper we derive an analytic expression for the $\mathrm{QED}_{\mathrm{L}}$ finite-volume corrections to the two-pion contribution to the hadronic vacuum polarization at next-to-leading order in the electromagnetic coupling in scalar QED. The leading term is found to be of order $1/L^{3}$ where $L$ is the spatial extent. A $1/L^{2}$ term is absent since the current is neutral and a photon far away thus sees no charge and we show that this result is universal. Our analytical results agree with results from the numerical evaluation of loop integrals as well as simulations of lattice scalar $U(1)$ gauge theory with stochastically generated photon fields. In the latter case the agreement is up to exponentially suppressed finite-volume effects. For completeness we also calculate the hadronic vacuum polarization in infinite volume using a basis of 2-loop master integrals. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.10591v1-abstract-full').style.display = 'none'; document.getElementById('1903.10591v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 March, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">42 pages, 11 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 100, 014508 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1810.06834">arXiv:1810.06834</a> <span> [<a href="https://arxiv.org/pdf/1810.06834">pdf</a>, <a href="https://arxiv.org/ps/1810.06834">ps</a>, <a href="https://arxiv.org/format/1810.06834">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP01(2019)102">10.1007/JHEP01(2019)102 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The order $p^8$ mesonic chiral Lagrangian </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+S">Si Wang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1810.06834v3-abstract-short" style="display: inline;"> We derive the chiral Lagrangian at next-to-next-to-next-to-leading order (NNNLO) for a general number $N_f$ of light quark flavours as well as for $N_f=2,3$. We enumerate the contact terms separately. We also discuss the cases where some of the external fields are not included. An example of a choice of Lagrangian is given in the supplementary material. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1810.06834v3-abstract-full" style="display: none;"> We derive the chiral Lagrangian at next-to-next-to-next-to-leading order (NNNLO) for a general number $N_f$ of light quark flavours as well as for $N_f=2,3$. We enumerate the contact terms separately. We also discuss the cases where some of the external fields are not included. An example of a choice of Lagrangian is given in the supplementary material. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1810.06834v3-abstract-full').style.display = 'none'; document.getElementById('1810.06834v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 February, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 October, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, The file basis.pdf contains the full basis. Misprints in Lorentz indices in basis corrected w.r.t. v2</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 18-34 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.04840">arXiv:1710.04840</a> <span> [<a href="https://arxiv.org/pdf/1710.04840">pdf</a>, <a href="https://arxiv.org/ps/1710.04840">ps</a>, <a href="https://arxiv.org/format/1710.04840">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1051/epjconf/201817506011">10.1051/epjconf/201817506011 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> ChPT loops for the lattice: pion mass and decay constant, HVP at finite volume and $n\bar n$-oscillations </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.04840v1-abstract-short" style="display: inline;"> I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in two-flavour ChPT. For the pion mass all needed auxiliary parameters can be determined from lattice calculations of $蟺蟺$-scattering. 3) Chiral corrections to neutron-anti-… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04840v1-abstract-full').style.display = 'inline'; document.getElementById('1710.04840v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.04840v1-abstract-full" style="display: none;"> I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in two-flavour ChPT. For the pion mass all needed auxiliary parameters can be determined from lattice calculations of $蟺蟺$-scattering. 3) Chiral corrections to neutron-anti-neutron oscillations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04840v1-abstract-full').style.display = 'none'; document.getElementById('1710.04840v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, presented at Lattice 2017, the 35th International Symposium on Lattice Field Theory, Granada, Spain, 18-24 June 2017</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 17-32 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.04479">arXiv:1710.04479</a> <span> [<a href="https://arxiv.org/pdf/1710.04479">pdf</a>, <a href="https://arxiv.org/ps/1710.04479">ps</a>, <a href="https://arxiv.org/format/1710.04479">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP12(2017)114">10.1007/JHEP12(2017)114 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Vector two-point functions in finite volume using partially quenched chiral perturbation theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.04479v2-abstract-short" style="display: inline;"> We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the flavor charged case with equal masses. Using these expressions we give an estimate for the ratio of disconnected to connected contributions for the strange part… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04479v2-abstract-full').style.display = 'inline'; document.getElementById('1710.04479v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.04479v2-abstract-full" style="display: none;"> We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the flavor charged case with equal masses. Using these expressions we give an estimate for the ratio of disconnected to connected contributions for the strange part of the electromagnetic current. We give numerical examples for the effects of partial quenching, finite volume and twisting and suggest the use of different twists to check the size of finite volume effects. The main use of this work is expected to be for lattice QCD calculations of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04479v2-abstract-full').style.display = 'none'; document.getElementById('1710.04479v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 December, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">31 pages, some sentences added regarding partial twisting, reformatted equations in appendix to make them more legible</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 16-51 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.04383">arXiv:1710.04383</a> <span> [<a href="https://arxiv.org/pdf/1710.04383">pdf</a>, <a href="https://arxiv.org/ps/1710.04383">ps</a>, <a href="https://arxiv.org/format/1710.04383">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epjc/s10052-017-5411-7">10.1140/epjc/s10052-017-5411-7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Chiral Perturbation Theory for Neutron-antineutron Oscillations </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Kofoed%2C+E">Erik Kofoed</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.04383v2-abstract-short" style="display: inline;"> We construct the Chiral Perturbation Theory operators for neutron-antineutron oscillations and use these to estimate chiral and finite volume corrections at one-loop order. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.04383v2-abstract-full" style="display: none;"> We construct the Chiral Perturbation Theory operators for neutron-antineutron oscillations and use these to estimate chiral and finite volume corrections at one-loop order. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04383v2-abstract-full').style.display = 'none'; document.getElementById('1710.04383v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 December, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">12 pages, misprints corrected and one reference added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 17-30 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.01901">arXiv:1710.01901</a> <span> [<a href="https://arxiv.org/pdf/1710.01901">pdf</a>, <a href="https://arxiv.org/format/1710.01901">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP11(2017)181">10.1007/JHEP11(2017)181 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The Pion Mass and Decay Constant at Three Loops in Two-Flavour Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Truedsson%2C+N+H">Nils Hermansson Truedsson</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.01901v1-abstract-short" style="display: inline;"> A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parameterizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.01901v1-abstract-full').style.display = 'inline'; document.getElementById('1710.01901v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.01901v1-abstract-full" style="display: none;"> A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parameterizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.01901v1-abstract-full').style.display = 'none'; document.getElementById('1710.01901v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 17-29 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1703.00141">arXiv:1703.00141</a> <span> [<a href="https://arxiv.org/pdf/1703.00141">pdf</a>, <a href="https://arxiv.org/ps/1703.00141">ps</a>, <a href="https://arxiv.org/format/1703.00141">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epjc/s10052-017-5019-y">10.1140/epjc/s10052-017-5019-y <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ananthanarayan%2C+B">B. Ananthanarayan</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Ghosh%2C+S">Shayan Ghosh</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1703.00141v2-abstract-short" style="display: inline;"> A representation of the two-loop contribution to the pion decay constant in $SU(3)$ chiral perturbation theory is presented. The result is analytic upto the contribution of the three (different) mass sunset integrals, for which an expansion in their external momentum has been taken. We also give an analytic expression for the two-loop contribution to the pion mass based on a renormalized represent… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1703.00141v2-abstract-full').style.display = 'inline'; document.getElementById('1703.00141v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1703.00141v2-abstract-full" style="display: none;"> A representation of the two-loop contribution to the pion decay constant in $SU(3)$ chiral perturbation theory is presented. The result is analytic upto the contribution of the three (different) mass sunset integrals, for which an expansion in their external momentum has been taken. We also give an analytic expression for the two-loop contribution to the pion mass based on a renormalized representation and in terms of the physical eta mass. We find an expansion of $F_蟺$ and $M_蟺^2$ in the strange quark mass in the isospin limit, and perform the matching of the chiral SU(2) and SU(3) low energy constants. A numerical analysis demonstrates the high accuracy of our representation, and the strong dependence of the pion decay constant upon the values of the low energy constants, especially in the chiral limit. Finally, we present a simplified representation that is particularly suitable for fitting with available lattice data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1703.00141v2-abstract-full').style.display = 'none'; document.getElementById('1703.00141v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 March, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">34 pages, plain latex, 5 figures; v2 is the version that was published, with further corrections in Eqs. (84) [normalization],(87) and (91) [missing lines inserted] of the published version. Compared to v1, minor changes to the text and typos removed, the notation updated in section 5, new section 7 on lattice fits</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> Lund University Theory preprint, LU TP 17-04 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1702.03416">arXiv:1702.03416</a> <span> [<a href="https://arxiv.org/pdf/1702.03416">pdf</a>, <a href="https://arxiv.org/ps/1702.03416">ps</a>, <a href="https://arxiv.org/format/1702.03416">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP03(2017)120">10.1007/JHEP03(2017)120 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Twisted finite-volume corrections to $K_{l3}$ decays with partially-quenched and rooted-staggered quarks </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bernard%2C+C">Claude Bernard</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%A1miz%2C+E">Elvira G谩miz</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1702.03416v1-abstract-short" style="display: inline;"> The determination of $|V_{us}|$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$ which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory expressions both with and without including the effects of staggered quarks for all form factors at finite volume and with partially twisted boundary conditions for bo… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1702.03416v1-abstract-full').style.display = 'inline'; document.getElementById('1702.03416v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1702.03416v1-abstract-full" style="display: none;"> The determination of $|V_{us}|$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$ which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory expressions both with and without including the effects of staggered quarks for all form factors at finite volume and with partially twisted boundary conditions for both the vector current and scalar density matrix elements at all $q^2$. We point out that at finite volume there are more form factors than just $f_+$ and $f_-$ for the vector current matrix element but that the Ward identity is fully satisfied. The size of the finite-volume corrections at present lattice sizes is small. This will help improve the lattice determination of $f_+(q^2=0)$ since the finite-volume error is the dominant error source for some calculations. The size of the finite-volume corrections may be estimated on a single lattice ensemble by comparing results for various twist choices. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1702.03416v1-abstract-full').style.display = 'none'; document.getElementById('1702.03416v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 February, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">29 pages, 1 figure</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1611.06068">arXiv:1611.06068</a> <span> [<a href="https://arxiv.org/pdf/1611.06068">pdf</a>, <a href="https://arxiv.org/ps/1611.06068">ps</a>, <a href="https://arxiv.org/format/1611.06068">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Chiral Perturbation Theory at Finite Volume and/or with Twisted Boundary Conditions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1611.06068v1-abstract-short" style="display: inline;"> In this talk we discuss a number of ChPT calculations relevant for lattice QCD. These include the finite volume corrections at two-loop order for masses and decay constants. The second part is about hadronic vacuum polarization where we present the two-loop ChPT estimate for the disconnected and strange quark contributions. We also present the finite volume corrections at two-loop order. The final… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.06068v1-abstract-full').style.display = 'inline'; document.getElementById('1611.06068v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1611.06068v1-abstract-full" style="display: none;"> In this talk we discuss a number of ChPT calculations relevant for lattice QCD. These include the finite volume corrections at two-loop order for masses and decay constants. The second part is about hadronic vacuum polarization where we present the two-loop ChPT estimate for the disconnected and strange quark contributions. We also present the finite volume corrections at two-loop order. The final part is the one-loop finite volume with twisted boundary conditions contribution to $f_+(q^2)$ and the full $K_{\ell3}$ amplitude <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.06068v1-abstract-full').style.display = 'none'; document.getElementById('1611.06068v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, talk presented at 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 16-61 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1609.01573">arXiv:1609.01573</a> <span> [<a href="https://arxiv.org/pdf/1609.01573">pdf</a>, <a href="https://arxiv.org/ps/1609.01573">ps</a>, <a href="https://arxiv.org/format/1609.01573">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP11(2016)086">10.1007/JHEP11(2016)086 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Connected, Disconnected and Strange Quark Contributions to HVP </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1609.01573v2-abstract-short" style="display: inline;"> We calculate all neutral vector two-point functions in Chiral Perturbation Theory (ChPT) to two-loop order and use these to estimate the ratio of disconnected to connected contributions as well as contributions involving the strange quark. We extend the ratio of $-1/10$ derived earlier in two flavour ChPT at one-loop order to a large part of the higher order contributions and discuss corrections t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1609.01573v2-abstract-full').style.display = 'inline'; document.getElementById('1609.01573v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1609.01573v2-abstract-full" style="display: none;"> We calculate all neutral vector two-point functions in Chiral Perturbation Theory (ChPT) to two-loop order and use these to estimate the ratio of disconnected to connected contributions as well as contributions involving the strange quark. We extend the ratio of $-1/10$ derived earlier in two flavour ChPT at one-loop order to a large part of the higher order contributions and discuss corrections to it. Our final estimate of the ratio disconnected to connected is negative and a few % in magnitude. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1609.01573v2-abstract-full').style.display = 'none'; document.getElementById('1609.01573v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 September, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">16 pages, one reference added, small changes in table 1, version to be published in JHEP</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 16-49 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1608.02386">arXiv:1608.02386</a> <span> [<a href="https://arxiv.org/pdf/1608.02386">pdf</a>, <a href="https://arxiv.org/format/1608.02386">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epja/i2016-16374-8">10.1140/epja/i2016-16374-8 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory: Theory and Practice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ananthanarayan%2C+B">B. Ananthanarayan</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Ghosh%2C+S">Shayan Ghosh</a>, <a href="/search/hep-lat?searchtype=author&query=Hebbar%2C+A">Aditya Hebbar</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1608.02386v2-abstract-short" style="display: inline;"> We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the two-loop contribution to the pion mass and decay constant in three-flavoured chiral perturbation theory. We also provide results for all possible two-mass configurations of the sunset integral, and derive a new on… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1608.02386v2-abstract-full').style.display = 'inline'; document.getElementById('1608.02386v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1608.02386v2-abstract-full" style="display: none;"> We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the two-loop contribution to the pion mass and decay constant in three-flavoured chiral perturbation theory. We also provide results for all possible two-mass configurations of the sunset integral, and derive a new one-dimensional integral representation for the one mass sunset integral with arbitrary external momentum. Thoroughly annotated Mathematica notebooks are provided as ancillary files, which may serve as pedagogical supplements to the methods described in this paper. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1608.02386v2-abstract-full').style.display = 'none'; document.getElementById('1608.02386v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 January, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 August, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">30 pages, plain latex, 3 figures; 7 mathematica notebooks provided as ancillary files; v2 is the version accepted and published in the European Physical Journal A in the Tools for Experiment and Theory Section; minor typos corrected; notation improved; bibliography extended; mathematica files submitted with this version are also supported on the journal web-site as supplementary materials</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> Lund University preprint number, LU TP 16-43 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Eur. Phys. J. A (2016) 52: 374 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1511.06294">arXiv:1511.06294</a> <span> [<a href="https://arxiv.org/pdf/1511.06294">pdf</a>, <a href="https://arxiv.org/ps/1511.06294">ps</a>, <a href="https://arxiv.org/format/1511.06294">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> ChPT meets lattice: finite volume and partial quenching for masses, decay constants and VEVs at NNLO </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=R%C3%B6ssler%2C+T">Thomas R枚ssler</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1511.06294v1-abstract-short" style="display: inline;"> We discuss finite volume effects and partial quenching for Chiral Perturbation Theory in the mesonic sector. The effects are computed in terms of analytical expressions for masses, decay constants and vacuum expectation values (VEVs) to two-loop order. Numerical examples are presented for a number of interesting and relevant cases. All numerical programs are publically available, the prospects of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1511.06294v1-abstract-full').style.display = 'inline'; document.getElementById('1511.06294v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1511.06294v1-abstract-full" style="display: none;"> We discuss finite volume effects and partial quenching for Chiral Perturbation Theory in the mesonic sector. The effects are computed in terms of analytical expressions for masses, decay constants and vacuum expectation values (VEVs) to two-loop order. Numerical examples are presented for a number of interesting and relevant cases. All numerical programs are publically available, the prospects of a combination of these studies with lattice gauge theory computations are discussed briefly. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1511.06294v1-abstract-full').style.display = 'none'; document.getElementById('1511.06294v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 November, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages, presented at the 8th International Workshop on Chiral Dynamics, 29 June 2015 - 03 July 2015</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 15-53 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1509.07295">arXiv:1509.07295</a> <span> [<a href="https://arxiv.org/pdf/1509.07295">pdf</a>, <a href="https://arxiv.org/ps/1509.07295">ps</a>, <a href="https://arxiv.org/format/1509.07295">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Masses, decay constants and electromagnetic form-factors with twisted boundary conditions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1509.07295v2-abstract-short" style="display: inline;"> We discuss some of the effects of twisted boundary conditions in finite volume using continuum SU(3) Chiral Perturbation Theory. We point out how broken cubic symmetry affects the definitions of quantities such as form-factors. Using the $蟺^+$ as an example, we give one loop results for the mass, decay constants and electromagnetic form-factor and illustrate how the relevant Ward identities are sa… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1509.07295v2-abstract-full').style.display = 'inline'; document.getElementById('1509.07295v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1509.07295v2-abstract-full" style="display: none;"> We discuss some of the effects of twisted boundary conditions in finite volume using continuum SU(3) Chiral Perturbation Theory. We point out how broken cubic symmetry affects the definitions of quantities such as form-factors. Using the $蟺^+$ as an example, we give one loop results for the mass, decay constants and electromagnetic form-factor and illustrate how the relevant Ward identities are satisfied. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1509.07295v2-abstract-full').style.display = 'none'; document.getElementById('1509.07295v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 January, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 24 September, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, presented at the 8th International Workshop on Chiral Dynamics, 29 June 2015 - 03 July 2015</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU-TP 15-38 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1509.04082">arXiv:1509.04082</a> <span> [<a href="https://arxiv.org/pdf/1509.04082">pdf</a>, <a href="https://arxiv.org/ps/1509.04082">ps</a>, <a href="https://arxiv.org/format/1509.04082">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Finite Volume and Partially Quenched QCD-like Effective Field Theories </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=R%C3%B6ssler%2C+T">Thomas R枚ssler</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1509.04082v1-abstract-short" style="display: inline;"> We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns $SU(N_F)\times SU(N_F)\to SU(N_F)_V$, $SU(N_F)\to SO(N_F)$ and $SU(2N_F)\to Sp(2 N_F)$ in the effective field theory for these cases. We extend the previous two-loop work to include effects of partial quenching and finite volume… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1509.04082v1-abstract-full').style.display = 'inline'; document.getElementById('1509.04082v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1509.04082v1-abstract-full" style="display: none;"> We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns $SU(N_F)\times SU(N_F)\to SU(N_F)_V$, $SU(N_F)\to SO(N_F)$ and $SU(2N_F)\to Sp(2 N_F)$ in the effective field theory for these cases. We extend the previous two-loop work to include effects of partial quenching and finite volume. The calculation has been performed using the quark flow technique. We reproduce the known infinite volume results in the unquenched case. The analytical results can be found in the supplementary material. Some examples of numerical results are given. The numerical programs for all cases are included in version 0.54 of the CHIRON package. The purpose of this work is the use in lattice extrapolations to zero mass for QCD-like and strongly interacting Higgs sector lattice calculations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1509.04082v1-abstract-full').style.display = 'none'; document.getElementById('1509.04082v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 September, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">24 pages, analytical expressions in added file analyticalresults.txt</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 15-34 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1508.07238">arXiv:1508.07238</a> <span> [<a href="https://arxiv.org/pdf/1508.07238">pdf</a>, <a href="https://arxiv.org/format/1508.07238">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP11(2015)097">10.1007/JHEP11(2015)097 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=R%C3%B6ssler%2C+T">Thomas R枚ssler</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1508.07238v1-abstract-short" style="display: inline;"> We present a calculation of the finite volume corrections to meson masses and decay constants in three flavour Partially Quenched Chiral Perturbation Theory (PQChPT) through two-loop order in the chiral expansion for the flavour-charged (or off-diagonal) pseudoscalar mesons. The analytical results are obtained for three sea quark flavours with one, two or three different masses. We reproduce the k… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1508.07238v1-abstract-full').style.display = 'inline'; document.getElementById('1508.07238v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1508.07238v1-abstract-full" style="display: none;"> We present a calculation of the finite volume corrections to meson masses and decay constants in three flavour Partially Quenched Chiral Perturbation Theory (PQChPT) through two-loop order in the chiral expansion for the flavour-charged (or off-diagonal) pseudoscalar mesons. The analytical results are obtained for three sea quark flavours with one, two or three different masses. We reproduce the known infinite volume results and the finite volume results in the unquenched case. The calculation has been performed using the supersymmetric formulation of PQChPT as well as with a quark-flow technique. Partial analytical results can be found in the appendices. Some examples of cases relevant to lattice QCD are studied numerically. Numerical programs for all results are available as part of the CHIRON package. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1508.07238v1-abstract-full').style.display = 'none'; document.getElementById('1508.07238v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 August, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">29 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 15-29 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1412.0887">arXiv:1412.0887</a> <span> [<a href="https://arxiv.org/pdf/1412.0887">pdf</a>, <a href="https://arxiv.org/ps/1412.0887">ps</a>, <a href="https://arxiv.org/format/1412.0887">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epjc/s10052-014-3249-9">10.1140/epjc/s10052-014-3249-9 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> CHIRON: a package for ChPT numerical results at two loops </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1412.0887v1-abstract-short" style="display: inline;"> This document describes the package CHIRON which includes two libraries, chiron itself and jbnumlib. CHIRON is a set of routines useful for two-loop numerical results in Chiral Perturbation Theory (ChPT). It includes programs for the needed one- and two-loop integrals as well as routines to deal with the ChPT parameters. The present version includes everything needed for the masses, decay consta… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1412.0887v1-abstract-full').style.display = 'inline'; document.getElementById('1412.0887v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1412.0887v1-abstract-full" style="display: none;"> This document describes the package CHIRON which includes two libraries, chiron itself and jbnumlib. CHIRON is a set of routines useful for two-loop numerical results in Chiral Perturbation Theory (ChPT). It includes programs for the needed one- and two-loop integrals as well as routines to deal with the ChPT parameters. The present version includes everything needed for the masses, decay constants and quark-antiquark vacuum-expectation-values. An added routine calculates consistent values for the masses and decay constants when the pion and kaon masses are varied. In addition a number of finite volume results are included: one-loop tadpole integrals, two-loop sunset integrals and the results for masses and decay constants. The numerical routine library jbnumlib contains the numerical routines used in chiron. Many are to a large extent simple C++ versions of routines in the CERNLIB numerical library. Notable exceptions are the dilogarithm and the Jacobi theta function implementations. This paper describes what is included in CHIRON v0.50. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1412.0887v1-abstract-full').style.display = 'none'; document.getElementById('1412.0887v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 December, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">19 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 14-41 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1411.6384">arXiv:1411.6384</a> <span> [<a href="https://arxiv.org/pdf/1411.6384">pdf</a>, <a href="https://arxiv.org/ps/1411.6384">ps</a>, <a href="https://arxiv.org/format/1411.6384">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP01(2015)034">10.1007/JHEP01(2015)034 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Finite Volume at Two-loops in Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=R%C3%B6ssler%2C+T">Thomas R枚ssler</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1411.6384v2-abstract-short" style="display: inline;"> We calculate the finite volume corrections to meson masses and decay constants in two and three flavour Chiral Perturbation Theory to two-loop order. The analytical results are compared with the existing result for the pion mass in two-flavour ChPT and the partial results for the other quantities. We present numerical results for all quantities. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1411.6384v2-abstract-full" style="display: none;"> We calculate the finite volume corrections to meson masses and decay constants in two and three flavour Chiral Perturbation Theory to two-loop order. The analytical results are compared with the existing result for the pion mass in two-flavour ChPT and the partial results for the other quantities. We present numerical results for all quantities. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1411.6384v2-abstract-full').style.display = 'none'; document.getElementById('1411.6384v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 January, 2015; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 24 November, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">26 pages, a number of minor misprints corrected</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 14-38 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1410.4782">arXiv:1410.4782</a> <span> [<a href="https://arxiv.org/pdf/1410.4782">pdf</a>, <a href="https://arxiv.org/format/1410.4782">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Effective Theories for QCD-like at TeV Scale </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Lu%2C+J">Jie Lu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1410.4782v1-abstract-short" style="display: inline;"> We study the Effective Field Theory of three QCD-like theories, which can be classified by having quarks in a complex, real or pseudo-real representations of the gauge group. The Lagrangians are written in a very similar way so that the calculations can be done using techniques from Chiral Perturbation Theory (ChPT). We calculated the vacuum-expectation-value, the mass and the decay constant of ps… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1410.4782v1-abstract-full').style.display = 'inline'; document.getElementById('1410.4782v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1410.4782v1-abstract-full" style="display: none;"> We study the Effective Field Theory of three QCD-like theories, which can be classified by having quarks in a complex, real or pseudo-real representations of the gauge group. The Lagrangians are written in a very similar way so that the calculations can be done using techniques from Chiral Perturbation Theory (ChPT). We calculated the vacuum-expectation-value, the mass and the decay constant of pseudo-Goldstone Bosons up to next-to-next-to leading order (NNLO) \cite{Bijnens:2009qm}. The various channels of general $n$ flavour meson-meson scattering of the three theories are systematically studied and calculated up to NNLO \cite{Bijnens:2011fm}. We also calculated the vector, axial-vector, scalar, pseudo-scalar two-point functions and pseudo-scalar decay constant up NNLO order \cite{Bijnens:2011xt}. The analytic expressions of the S parameter for the three different QCD-like theories are obtained at TeV scale. Our results are useful for chiral extrapolation in lattice calculation on theory of strong dynamical and finite baryon density. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1410.4782v1-abstract-full').style.display = 'none'; document.getElementById('1410.4782v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 October, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 2 figures, Contribution to the proceedings of the ICHEP 2014 conference, Valencia, Spain</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1407.4021">arXiv:1407.4021</a> <span> [<a href="https://arxiv.org/pdf/1407.4021">pdf</a>, <a href="https://arxiv.org/format/1407.4021">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Hadronic contributions to the muon anomalous magnetic moment Workshop. $(g-2)_渭$: Quo vadis? Workshop. Mini proceedings </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Benayoun%2C+M">Maurice Benayoun</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">Tom Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Caprini%2C+I">Irinel Caprini</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">Gilberto Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Czy%C5%BC%2C+H">Henryk Czy偶</a>, <a href="/search/hep-lat?searchtype=author&query=Denig%2C+A">Achim Denig</a>, <a href="/search/hep-lat?searchtype=author&query=Dominguez%2C+C+A">Cesareo A. Dominguez</a>, <a href="/search/hep-lat?searchtype=author&query=Eidelman%2C+S">Simon Eidelman</a>, <a href="/search/hep-lat?searchtype=author&query=Fischer%2C+C+S">Christian S. Fischer</a>, <a href="/search/hep-lat?searchtype=author&query=Gauzzi%2C+P">Paolo Gauzzi</a>, <a href="/search/hep-lat?searchtype=author&query=Guo%2C+Y">Yuping Guo</a>, <a href="/search/hep-lat?searchtype=author&query=Hafner%2C+A">Andreas Hafner</a>, <a href="/search/hep-lat?searchtype=author&query=Hayakawa%2C+M">Masashi Hayakawa</a>, <a href="/search/hep-lat?searchtype=author&query=Herdoiza%2C+G">Gregorio Herdoiza</a>, <a href="/search/hep-lat?searchtype=author&query=Hoferichter%2C+M">Martin Hoferichter</a>, <a href="/search/hep-lat?searchtype=author&query=Huang%2C+G">Guangshun Huang</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Jegerlehner%2C+F">Fred Jegerlehner</a>, <a href="/search/hep-lat?searchtype=author&query=Kloss%2C+B">Benedikt Kloss</a>, <a href="/search/hep-lat?searchtype=author&query=Kubis%2C+B">Bastian Kubis</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+Z">Zhiqing Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Marciano%2C+W">William Marciano</a>, <a href="/search/hep-lat?searchtype=author&query=Masjuan%2C+P">Pere Masjuan</a>, <a href="/search/hep-lat?searchtype=author&query=Meyer%2C+H+B">Harvey B. Meyer</a> , et al. (15 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1407.4021v2-abstract-short" style="display: inline;"> We present the mini-proceedings of the workshops Hadronic contributions to the muon anomalous magnetic moment: strategies for improvements of the accuracy of the theoretical prediction and $(g-2)_渭$: Quo vadis?, both held in Mainz from April 1$^{\rm rst}$ to 5$^{\rm th}$ and from April 7$^{\rm th}$ to 10$^{\rm th}$, 2014, respectively. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1407.4021v2-abstract-full" style="display: none;"> We present the mini-proceedings of the workshops Hadronic contributions to the muon anomalous magnetic moment: strategies for improvements of the accuracy of the theoretical prediction and $(g-2)_渭$: Quo vadis?, both held in Mainz from April 1$^{\rm rst}$ to 5$^{\rm th}$ and from April 7$^{\rm th}$ to 10$^{\rm th}$, 2014, respectively. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1407.4021v2-abstract-full').style.display = 'none'; document.getElementById('1407.4021v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 July, 2014; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 14 July, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">84 pages, 23+18 contributions. Editors: Tom Blum, Pere Masjuan, and Marc Vanderhaeghen</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1405.6488">arXiv:1405.6488</a> <span> [<a href="https://arxiv.org/pdf/1405.6488">pdf</a>, <a href="https://arxiv.org/ps/1405.6488">ps</a>, <a href="https://arxiv.org/format/1405.6488">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1146/annurev-nucl-102313-025528">10.1146/annurev-nucl-102313-025528 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Mesonic low-energy constants </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Ecker%2C+G">Gerhard Ecker</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1405.6488v2-abstract-short" style="display: inline;"> We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). Special emphasis is put on the chiral $SU(2)$ and $SU(3)$ Lagrangians for the strong interactions of light mesons. The theoretical and experimental input for determining the corresponding LECs is discussed. In the two-flavour sector, we review the knowledge of the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1405.6488v2-abstract-full').style.display = 'inline'; document.getElementById('1405.6488v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1405.6488v2-abstract-full" style="display: none;"> We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). Special emphasis is put on the chiral $SU(2)$ and $SU(3)$ Lagrangians for the strong interactions of light mesons. The theoretical and experimental input for determining the corresponding LECs is discussed. In the two-flavour sector, we review the knowledge of the $O(p^4)$ LECs from both continuum fits and lattice QCD analyses. For chiral $SU(3)$, NNLO effects play a much bigger role. Our main new results are fits of the LECs $L_i$ both at NLO and NNLO, making extensive use of the available knowledge of NNLO LECs. We compare our results with available lattice determinations. Resonance saturation of LECs and the convergence of chiral $SU(3)$ to NNLO are discussed. We also review the status of predictions for the LECs of chiral Lagrangians with dynamical photons and leptons. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1405.6488v2-abstract-full').style.display = 'none'; document.getElementById('1405.6488v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 July, 2014; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 26 May, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">36 pages, prepared for Annual Review of Nuclear and Particle Science, typos corrected, reference added, results unchanged</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 14-16, UWThPh-2014-10 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Annual Review of Nuclear and Particle Science Vol. 64 (2014) 149-174 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1402.1385">arXiv:1402.1385</a> <span> [<a href="https://arxiv.org/pdf/1402.1385">pdf</a>, <a href="https://arxiv.org/ps/1402.1385">ps</a>, <a href="https://arxiv.org/format/1402.1385">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP05(2014)015">10.1007/JHEP05(2014)015 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Relefors%2C+J">Johan Relefors</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1402.1385v2-abstract-short" style="display: inline;"> Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1402.1385v2-abstract-full').style.display = 'inline'; document.getElementById('1402.1385v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1402.1385v2-abstract-full" style="display: none;"> Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are satisfied using the momentum dependent masses and the non-zero vacuum-expectation-values values for the electromagnetic (vector) currents. Explicit expressions at one-loop are provided and an appendix discusses the needed one-loop twisted finite volume integrals. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1402.1385v2-abstract-full').style.display = 'none'; document.getElementById('1402.1385v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 March, 2014; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 February, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, Main changes: New references [6,16] with overlap in results and conclusions added, and a new section describing the interpretation of our results and the relation with earlier results in detail. Other changes: figures changed to be more readable and minor misprints corrected</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 14-03 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1311.7511">arXiv:1311.7511</a> <span> [<a href="https://arxiv.org/pdf/1311.7511">pdf</a>, <a href="https://arxiv.org/format/1311.7511">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.89.054510">10.1103/PhysRevD.89.054510 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bernard%2C+C">C. Bernard</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%A1miz%2C+E">E. G谩miz</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1311.7511v2-abstract-short" style="display: inline;"> The determination of $\vert V_{us}\vert$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$, which can be calculated precisely on the lattice. We provide the one-loop partially quenched staggered chiral perturbation theory expressions that may be employed to analyze staggered simulations of $f_+(q^2)$ with three light flavors. We consider both the case of a mixed acti… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.7511v2-abstract-full').style.display = 'inline'; document.getElementById('1311.7511v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1311.7511v2-abstract-full" style="display: none;"> The determination of $\vert V_{us}\vert$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$, which can be calculated precisely on the lattice. We provide the one-loop partially quenched staggered chiral perturbation theory expressions that may be employed to analyze staggered simulations of $f_+(q^2)$ with three light flavors. We consider both the case of a mixed action, where the valence and sea sectors have different staggered actions, and the standard case where these actions are the same. The momentum transfer $q^2$ of the form factor is allowed to have an arbitrary value. We give results for the generic situation where the $u$, $d$, and $s$ quark masses are all different, $N_f=1+1+1$, and for the isospin limit, $N_f=2+1$. The expression we obtain for $f_+(q^2)$ is independent of the mass of the (valence) spectator quark. In the limit of vanishing lattice spacing, our results reduce to the one-loop continuum partially quenched expression for $f_+(q^2)$, which has not previously been reported in the literature for the $N_f=1+1+1$ case. Our expressions have already been used in staggered lattice analyses of $f_+(0)$, and should prove useful in future calculations as well. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.7511v2-abstract-full').style.display = 'none'; document.getElementById('1311.7511v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 December, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 29 November, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">33 pages, 5 figures; v2: some referencing changed</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 89, 054510 (2014) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1311.3531">arXiv:1311.3531</a> <span> [<a href="https://arxiv.org/pdf/1311.3531">pdf</a>, <a href="https://arxiv.org/ps/1311.3531">ps</a>, <a href="https://arxiv.org/format/1311.3531">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP01(2014)019">10.1007/JHEP01(2014)019 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Two-loop Sunset Integrals at Finite Volume </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Bostr%C3%B6m%2C+E">Emil Bostr枚m</a>, <a href="/search/hep-lat?searchtype=author&query=L%C3%A4hde%2C+T+A">Timo A. L盲hde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1311.3531v1-abstract-short" style="display: inline;"> We show how to compute the two-loop sunset integrals at finite volume, for non-degenerate masses and non-zero momentum. We present results for all integrals that appear in the Chiral Perturbation Therory ($蠂$PT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched $蠂$PT. We also provide numerical implementations of the finite-volume sun… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.3531v1-abstract-full').style.display = 'inline'; document.getElementById('1311.3531v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1311.3531v1-abstract-full" style="display: none;"> We show how to compute the two-loop sunset integrals at finite volume, for non-degenerate masses and non-zero momentum. We present results for all integrals that appear in the Chiral Perturbation Therory ($蠂$PT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched $蠂$PT. We also provide numerical implementations of the finite-volume sunset integrals, and review the results for one-loop integrals at finite volume. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.3531v1-abstract-full').style.display = 'none'; document.getElementById('1311.3531v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 November, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">45 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 13-40. NT@UW-13-26 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 1401 (2014) 019 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1310.0350">arXiv:1310.0350</a> <span> [<a href="https://arxiv.org/pdf/1310.0350">pdf</a>, <a href="https://arxiv.org/ps/1310.0350">ps</a>, <a href="https://arxiv.org/format/1310.0350">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Sunset integrals at finite volume </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1310.0350v1-abstract-short" style="display: inline;"> Chiral Perturbation Theory is a useful tool to aid in performing the various extrapolations needed in lattice QCD calculations of physical quantities. These include extrapolations in quark mass, finite lattice spacing and finite size of the lattice. Especially the latter will become more important when the quark masses on the lattice become smaller. Here we develop the needed two-loop integrals… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1310.0350v1-abstract-full').style.display = 'inline'; document.getElementById('1310.0350v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1310.0350v1-abstract-full" style="display: none;"> Chiral Perturbation Theory is a useful tool to aid in performing the various extrapolations needed in lattice QCD calculations of physical quantities. These include extrapolations in quark mass, finite lattice spacing and finite size of the lattice. Especially the latter will become more important when the quark masses on the lattice become smaller. Here we develop the needed two-loop integrals at finite volume to do the calculations for masses and decay constants for all general mass cases. I will present results based on an expansion in Bessel functions as well as on a version using theta functions and compare their efficiency. Work is in progress to combine these results with two-loop ChPT calculations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1310.0350v1-abstract-full').style.display = 'none'; document.getElementById('1310.0350v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 October, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 13-35 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1111.1886">arXiv:1111.1886</a> <span> [<a href="https://arxiv.org/pdf/1111.1886">pdf</a>, <a href="https://arxiv.org/ps/1111.1886">ps</a>, <a href="https://arxiv.org/format/1111.1886">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP01(2012)081">10.1007/JHEP01(2012)081 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Two-Point Functions and S-Parameter in QCD-like Theories </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Lu%2C+J">Jie Lu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1111.1886v1-abstract-short" style="display: inline;"> We calculated the vector, axial-vector, scalar and pseudo-scalar two-point functions up to two-loop level in the low-energy effective field theory for three different QCD-like theories. In addition we also calculated the pseudo-scalar decay constant $G_M$. The QCD-like theories we used are those with fermions in a complex, real or pseudo-real representation with in general n flavours. These case c… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1111.1886v1-abstract-full').style.display = 'inline'; document.getElementById('1111.1886v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1111.1886v1-abstract-full" style="display: none;"> We calculated the vector, axial-vector, scalar and pseudo-scalar two-point functions up to two-loop level in the low-energy effective field theory for three different QCD-like theories. In addition we also calculated the pseudo-scalar decay constant $G_M$. The QCD-like theories we used are those with fermions in a complex, real or pseudo-real representation with in general n flavours. These case correspond to global symmetry breaking pattern of $SU(n)_L\times SU(n)_R\to SU(n)_V$, $SU(2n)\to SO(2n)$ or $SU(2n)\to Sp(2n)$. We also estimated the S parameter for those different theories. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1111.1886v1-abstract-full').style.display = 'none'; document.getElementById('1111.1886v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 November, 2011; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2011. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">29 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 11-40 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0910.5424">arXiv:0910.5424</a> <span> [<a href="https://arxiv.org/pdf/0910.5424">pdf</a>, <a href="https://arxiv.org/ps/0910.5424">ps</a>, <a href="https://arxiv.org/format/0910.5424">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1126-6708/2009/11/116">10.1088/1126-6708/2009/11/116 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Technicolor and other QCD-like theories at next-to-next-to-leading order </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Lu%2C+J">Jie Lu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0910.5424v1-abstract-short" style="display: inline;"> We calculate the vacuum-expectation-value, the meson mass and the meson decay constant to next-to-next-to-leading-order in the chiral expansion for QCD-like theories with general $N_F$ degenerate flavours for the cases with a complex representation, a real and a pseudoreal representation, i.e. with global symmetry and breaking patters $SU(N_F)_L\times SU(N_F)_R\to SU(N_F)_V$,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0910.5424v1-abstract-full').style.display = 'inline'; document.getElementById('0910.5424v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0910.5424v1-abstract-full" style="display: none;"> We calculate the vacuum-expectation-value, the meson mass and the meson decay constant to next-to-next-to-leading-order in the chiral expansion for QCD-like theories with general $N_F$ degenerate flavours for the cases with a complex representation, a real and a pseudoreal representation, i.e. with global symmetry and breaking patters $SU(N_F)_L\times SU(N_F)_R\to SU(N_F)_V$, $SU(2N_F)\to SO(2N)$ and $SU(2N_F)\to Sp(2N_F)$. These calculations should be useful for lattice calculations for dynamical electroweak symmetry breaking and related cases. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0910.5424v1-abstract-full').style.display = 'none'; document.getElementById('0910.5424v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 October, 2009; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2009. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">24 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 09-27 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 0911:116,2009 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0708.1377">arXiv:0708.1377</a> <span> [<a href="https://arxiv.org/pdf/0708.1377">pdf</a>, <a href="https://arxiv.org/ps/0708.1377">ps</a>, <a href="https://arxiv.org/format/0708.1377">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Quark Mass dependence at Two Loops for Meson Properties </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0708.1377v2-abstract-short" style="display: inline;"> This talks contains a short introduction to Chiral Perturbation Theory and the existing calculations to two-loop order in the mesonic sector. I include a discussion on which quantities the expansion can be organized in. The present best values of the Low-Energy-Constants as determined from continuum physics are given as well as the assumptions underlying the fits to experimental data. I present… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0708.1377v2-abstract-full').style.display = 'inline'; document.getElementById('0708.1377v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0708.1377v2-abstract-full" style="display: none;"> This talks contains a short introduction to Chiral Perturbation Theory and the existing calculations to two-loop order in the mesonic sector. I include a discussion on which quantities the expansion can be organized in. The present best values of the Low-Energy-Constants as determined from continuum physics are given as well as the assumptions underlying the fits to experimental data. I present plots of masses, decay constants and $f_+(0)$ in $K_{\ell3}$ as a function of quark or meson masses. The talk ends with a list of things for which it would be extremely useful to have good results from lattice QCD calculations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0708.1377v2-abstract-full').style.display = 'none'; document.getElementById('0708.1377v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 August, 2007; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 10 August, 2007; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2007. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">15 pages, plenary talk at T he XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany. v2: some clarifying statements added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 07-22 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoSLAT2007:004,2007 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0610127">arXiv:hep-lat/0610127</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0610127">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0610127">ps</a>, <a href="https://arxiv.org/format/hep-lat/0610127">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.75.014505">10.1103/PhysRevD.75.014505 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0610127v1-abstract-short" style="display: inline;"> We introduce photons in Partially Quenched Chiral Perturbation Theory and calculate the resulting electromagnetic loop-corrections at NLO for the charged meson masses and decay constants. We also present a numerical analysis to indicate the size of the different corrections. We show that several phenomenologically relevant quantities can be calculated consistently with photons which couple only… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0610127v1-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0610127v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0610127v1-abstract-full" style="display: none;"> We introduce photons in Partially Quenched Chiral Perturbation Theory and calculate the resulting electromagnetic loop-corrections at NLO for the charged meson masses and decay constants. We also present a numerical analysis to indicate the size of the different corrections. We show that several phenomenologically relevant quantities can be calculated consistently with photons which couple only to the valence quarks, allowing the use of gluon configurations produced without dynamical photons. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0610127v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0610127v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 October, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 06-38 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev.D75:014505,2007 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0610083">arXiv:hep-lat/0610083</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0610083">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0610083">ps</a>, <a href="https://arxiv.org/format/hep-lat/0610083">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Quark anti-quark expectation value in finite volume </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Ghorbani%2C+K">Karim Ghorbani</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0610083v1-abstract-short" style="display: inline;"> We have computed the quark anti-quark expectation value in finite volume at two loop in chiral perturbation theory and compare it with a formula obtained in analogy to the Luscher formula for pion mass in finite volume. We observe that due to the small finite size correction at two loop it is not possible to obtain conclusions on the accuracy of the extended Luscher formula. </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0610083v1-abstract-full" style="display: none;"> We have computed the quark anti-quark expectation value in finite volume at two loop in chiral perturbation theory and compare it with a formula obtained in analogy to the Luscher formula for pion mass in finite volume. We observe that due to the small finite size correction at two loop it is not possible to obtain conclusions on the accuracy of the extended Luscher formula. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0610083v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0610083v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 October, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages, talk presented at IPM-LHP06, Tehran, Iran; PSN: IPM-LHP06-19May</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 06-37 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> ECONFC0605151:0009,2006 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0606017">arXiv:hep-lat/0606017</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0606017">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0606017">ps</a>, <a href="https://arxiv.org/format/hep-lat/0606017">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.74.054503">10.1103/PhysRevD.74.054503 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0606017v2-abstract-short" style="display: inline;"> We show how to resum neutral propagators to all orders in Partially Quenched Chiral Perturbation Theory. We calculate the relevant quantities to next-to-next-to-leading order (NNLO). Using these results we show how to extend the proposal by Sharpe and Shoresh for determining the parameters relevant for the eta mass from partially quenched lattice QCD calculations to NNLO. </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0606017v2-abstract-full" style="display: none;"> We show how to resum neutral propagators to all orders in Partially Quenched Chiral Perturbation Theory. We calculate the relevant quantities to next-to-next-to-leading order (NNLO). Using these results we show how to extend the proposal by Sharpe and Shoresh for determining the parameters relevant for the eta mass from partially quenched lattice QCD calculations to NNLO. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0606017v2-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0606017v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 September, 2006; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 26 June, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">18 pages, misprints corrected, plot with a different subtraction scale added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 06-23 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. D74 (2006) 054503 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0602019">arXiv:hep-lat/0602019</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0602019">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0602019">ps</a>, <a href="https://arxiv.org/format/hep-lat/0602019">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.physletb.2006.03.024">10.1016/j.physletb.2006.03.024 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Ghorbani%2C+K">Karim Ghorbani</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0602019v2-abstract-short" style="display: inline;"> A general formula is derived for the finite volume dependence of vacuum expectation values analogous to Luscher's formula for the masses. The result involves no integrals over kinematic quantities and depends only on the matrix element between pions at zero momentum transfer thus presenting a new way to calculate the latter, i.e. pion sigma terms. The full order $p^6$ correction to the vacuum… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0602019v2-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0602019v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0602019v2-abstract-full" style="display: none;"> A general formula is derived for the finite volume dependence of vacuum expectation values analogous to Luscher's formula for the masses. The result involves no integrals over kinematic quantities and depends only on the matrix element between pions at zero momentum transfer thus presenting a new way to calculate the latter, i.e. pion sigma terms. The full order $p^6$ correction to the vacuum condensate $<\bar q q>$ is evaluated and compared with the result from the Luscher formula. Due to the size of the $p^6$ result no conclusion about the accuracy of the Luscher formula can be drawn. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0602019v2-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0602019v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 March, 2006; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 February, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, conclusions described in much more detail</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 06-11 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Lett. B636 (2006) 51-55 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0602003">arXiv:hep-lat/0602003</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0602003">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0602003">ps</a>, <a href="https://arxiv.org/format/hep-lat/0602003">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.73.074509">10.1103/PhysRevD.73.074509 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a>, <a href="/search/hep-lat?searchtype=author&query=Lahde%2C+T+A">Timo A. Lahde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0602003v2-abstract-short" style="display: inline;"> We discuss Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT) and possible fitting strategies to Lattice QCD data at next-to-next-to-leading order (NNLO) in the mesonic sector. We also present a complete calculation of the masses of the charged pseudoscalar mesons, in the supersymmetric formulation of PQ$蠂$PT. Explicit analytical results are given for up to three nondegenerate sea quark fla… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0602003v2-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0602003v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0602003v2-abstract-full" style="display: none;"> We discuss Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT) and possible fitting strategies to Lattice QCD data at next-to-next-to-leading order (NNLO) in the mesonic sector. We also present a complete calculation of the masses of the charged pseudoscalar mesons, in the supersymmetric formulation of PQ$蠂$PT. Explicit analytical results are given for up to three nondegenerate sea quark flavors, along with the previously unpublished expression for the pseudoscalar meson decay constant for three nondegenerate sea quark flavors. The numerical analysis in this paper demonstrates that the corrections at NNLO are sizable, as expected from earlier work. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0602003v2-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0602003v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 March, 2006; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 February, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">31 pages, numerical discussion extended including convergence NLO to NNLO</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 06-07, HISKP - TH - 05-26 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. D73 (2006) 074509 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/0601197">arXiv:hep-ph/0601197</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/0601197">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/0601197">ps</a>, <a href="https://arxiv.org/format/hep-ph/0601197">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1126-6708/2006/03/048">10.1088/1126-6708/2006/03/048 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The $B_K$ Kaon Parameter in the Chiral Limit </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Gamiz%2C+E">Elvira Gamiz</a>, <a href="/search/hep-lat?searchtype=author&query=Prades%2C+J">Joaquim Prades</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-ph/0601197v1-abstract-short" style="display: inline;"> We introduce four-point functions in the hadronic ladder resummation approach to large $N_c$ QCD Green functions. We determine the relevant one to calculate the $B_K$ kaon parameter in the chiral limit. This four-point function contains both the large momenta QCD OPE and the small momenta ChPT at NLO limits, analytically. We get $\hat B_K^蠂= 0.38 \pm 0.15$. We also give the ChPT result at NLO fo… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0601197v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/0601197v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/0601197v1-abstract-full" style="display: none;"> We introduce four-point functions in the hadronic ladder resummation approach to large $N_c$ QCD Green functions. We determine the relevant one to calculate the $B_K$ kaon parameter in the chiral limit. This four-point function contains both the large momenta QCD OPE and the small momenta ChPT at NLO limits, analytically. We get $\hat B_K^蠂= 0.38 \pm 0.15$. We also give the ChPT result at NLO for the relevant four-point function to calculate $B_K$ outside the chiral limit, while the leading QCD OPE is the same as the chiral limit one. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0601197v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/0601197v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 24 January, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CAFPE/70-06, LU TP 06-03, UG-FT/200-06 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 0603 (2006) 048 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0512016">arXiv:hep-lat/0512016</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0512016">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0512016">ps</a>, <a href="https://arxiv.org/format/hep-lat/0512016">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1063/1.2220235">10.1063/1.2220235 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Partially Quenched Chiral Perturbation Theory to NNLO </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Lahde%2C+T+A">Timo A. Lahde</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0512016v1-abstract-short" style="display: inline;"> This paper summarizes the recent calculations of the masses and decay constants of the pseudoscalar mesons at the two-loop level, or NNLO, in Partially Quenched Chiral Perturbation Theory (PQxPT). Possible applications include chiral extrapolations of Lattice QCD, as well as the determination of the low-energy constants (LEC:s) of QCD. </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0512016v1-abstract-full" style="display: none;"> This paper summarizes the recent calculations of the masses and decay constants of the pseudoscalar mesons at the two-loop level, or NNLO, in Partially Quenched Chiral Perturbation Theory (PQxPT). Possible applications include chiral extrapolations of Lattice QCD, as well as the determination of the low-energy constants (LEC:s) of QCD. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0512016v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0512016v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 December, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">To appear in the proceedings of PANIC 2005</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> Preprint HISKP-TH 05/24, LU-TP 05-48 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0509042">arXiv:hep-lat/0509042</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0509042">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0509042">ps</a>, <a href="https://arxiv.org/format/hep-lat/0509042">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Two Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a>, <a href="/search/hep-lat?searchtype=author&query=Ghorbani%2C+K">Karim Ghorbani</a>, <a href="/search/hep-lat?searchtype=author&query=L%C3%A4hde%2C+T">Timo L盲hde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0509042v1-abstract-short" style="display: inline;"> This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L眉scherlike finite volume formula for it. The latter allows for an alternative determination of meson sigma terms. The second set of results presented here are the calculations at two loops in partially quenched chiral… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0509042v1-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0509042v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0509042v1-abstract-full" style="display: none;"> This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L眉scherlike finite volume formula for it. The latter allows for an alternative determination of meson sigma terms. The second set of results presented here are the calculations at two loops in partially quenched chiral perturbation theory of masses and decay constants of the charged mesons. We present results for all relevant quark mass combinations for the cases with two and three sea quarks. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0509042v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0509042v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 September, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages, talk presented at XXIIIrd International Symposium on Lattice Field Theory, 25-30 July 2005, Trinity College, Dublin, Ireland</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 05-34 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoS LAT2005 (2005) 058 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0506004">arXiv:hep-lat/0506004</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0506004">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0506004">ps</a>, <a href="https://arxiv.org/format/hep-lat/0506004">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.72.074502">10.1103/PhysRevD.72.074502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=L%C3%A4hde%2C+T+A">Timo A. L盲hde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0506004v3-abstract-short" style="display: inline;"> This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT). Explicit analytical expressions up to ${\cal O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0506004v3-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0506004v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0506004v3-abstract-full" style="display: none;"> This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT). Explicit analytical expressions up to ${\cal O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation of PQ$蠂$PT. A numerical analysis is done to indicate the size of the corrections. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0506004v3-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0506004v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 24 January, 2006; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 June, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages, subsection about determining the LECs from lattice results added, v3 one misprint corrected</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 05-26 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. D72 (2005) 074502 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/0501177">arXiv:hep-ph/0501177</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/0501177">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/0501177">ps</a>, <a href="https://arxiv.org/format/hep-ph/0501177">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1142/9789812701725_0012">10.1142/9789812701725_0012 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The B_K Kaon Parameter in the 1/N_c Expansion </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Prades%2C+J">Joaquim Prades</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Gamiz%2C+E">Elvira Gamiz</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-ph/0501177v1-abstract-short" style="display: inline;"> We present work going on calculating the kaon B_K parameter in the 1/N_c expansion. The goal of this work is to analyze analytically in the presence of chiral corrections this phenomenologically very important parameter. We present the method used and preliminary results for the chiral limit value for which we get the invariant \hat B_K^蠂=0.29 \pm 0.15. We also give some analytical indications… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0501177v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/0501177v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/0501177v1-abstract-full" style="display: none;"> We present work going on calculating the kaon B_K parameter in the 1/N_c expansion. The goal of this work is to analyze analytically in the presence of chiral corrections this phenomenologically very important parameter. We present the method used and preliminary results for the chiral limit value for which we get the invariant \hat B_K^蠂=0.29 \pm 0.15. We also give some analytical indications of why the large N_c prediction of \hat B_K= 3/4 may have small 1/N_c corrections in the real case. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0501177v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/0501177v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 January, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Invited Talk given by J.P. at the "Large N_c QCD Workshop", 5-9 July 2004, Trento, Italy</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CAFPE-41/04, LU TP 05-3, UG-FT-171/04 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0501014">arXiv:hep-lat/0501014</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0501014">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0501014">ps</a>, <a href="https://arxiv.org/format/hep-lat/0501014">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.71.094502">10.1103/PhysRevD.71.094502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $蠂$PT </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Lahde%2C+T+A">Timo A. Lahde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0501014v1-abstract-short" style="display: inline;"> This paper presents a first study of the decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for three flavors of sea quarks, in Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT). Explicit analytical expressions up to ${\cal O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation of PQ$蠂$P… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0501014v1-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/0501014v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0501014v1-abstract-full" style="display: none;"> This paper presents a first study of the decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for three flavors of sea quarks, in Partially Quenched Chiral Perturbation Theory (PQ$蠂$PT). Explicit analytical expressions up to ${\cal O}(p^6)$ in the momentum expansion are given. The calculations have been performed within the supersymmetric formulation of PQ$蠂$PT. We also present some numerical results to indicate the size of the corrections. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0501014v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0501014v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 January, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">14p</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 05-1 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. D71 (2005) 094502 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/0406017">arXiv:hep-lat/0406017</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/0406017">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/0406017">ps</a>, <a href="https://arxiv.org/format/hep-lat/0406017">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.70.111503">10.1103/PhysRevD.70.111503 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $蠂$PT </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Danielsson%2C+N">Niclas Danielsson</a>, <a href="/search/hep-lat?searchtype=author&query=Lahde%2C+T+A">Timo A. Lahde</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-lat/0406017v2-abstract-short" style="display: inline;"> This paper presents a first study of the pseudoscalar meson masses to two loops, or NNLO, within the supersymmetric formulation of partially quenched chiral perturbation theory (PQ$蠂$PT). The expression for the pseudoscalar meson mass in the case of three valence and three sea quarks with equal masses, but different from each other, is given to ${\cal O}(p^6)$, along with a numerical analysis. </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/0406017v2-abstract-full" style="display: none;"> This paper presents a first study of the pseudoscalar meson masses to two loops, or NNLO, within the supersymmetric formulation of partially quenched chiral perturbation theory (PQ$蠂$PT). The expression for the pseudoscalar meson mass in the case of three valence and three sea quarks with equal masses, but different from each other, is given to ${\cal O}(p^6)$, along with a numerical analysis. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/0406017v2-abstract-full').style.display = 'none'; document.getElementById('hep-lat/0406017v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 December, 2004; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 11 June, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages, one reference added, small changes in discussion</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 04-26 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. D70 (2004) 111503 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/0309216">arXiv:hep-ph/0309216</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/0309216">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/0309216">ps</a>, <a href="https://arxiv.org/format/hep-ph/0309216">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.nuclphysbps.2004.04.173">10.1016/j.nuclphysbps.2004.04.173 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Hadronic Matrix Elements for Kaons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Gamiz%2C+E">Elvira Gamiz</a>, <a href="/search/hep-lat?searchtype=author&query=Prades%2C+J">Joaquim Prades</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-ph/0309216v1-abstract-short" style="display: inline;"> We review some work done by us calculating matrix elements for Kaons. Emphasis is put on the matrix elements which are relevant to predict non-leptonic Kaon CP violating observables. In particular, we recall our results for the \hat B_K parameter which governs the \bar{K^0}-K^0 mixing and update our results for epsilon'_K including estimated all-higher-order CHPT corrections and the new results… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0309216v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/0309216v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/0309216v1-abstract-full" style="display: none;"> We review some work done by us calculating matrix elements for Kaons. Emphasis is put on the matrix elements which are relevant to predict non-leptonic Kaon CP violating observables. In particular, we recall our results for the \hat B_K parameter which governs the \bar{K^0}-K^0 mixing and update our results for epsilon'_K including estimated all-higher-order CHPT corrections and the new results from recent analytical calculations of the 螖I=3/2 component. Some comments on future prospects on calculating matrix elements for Kaons are also added. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0309216v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/0309216v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 September, 2003; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2003. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">13 pages, 2 figures. Invited talk given by J.P. at X International Conference Quantum Chromodynamics (QCD '03), 2-9 July 2003, Montpellier, France</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CAFPE-23/03, LU TP 03-43, UG-FT-153/03 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/0201266">arXiv:hep-ph/0201266</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/0201266">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/0201266">ps</a>, <a href="https://arxiv.org/format/hep-ph/0201266">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Effective Field Theories of QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Mei%C3%9Fner%2C+U">Ulf-G. Mei脽ner</a>, <a href="/search/hep-lat?searchtype=author&query=Wirzba%2C+A">Andreas Wirzba</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-ph/0201266v1-abstract-short" style="display: inline;"> These are the proceedings of the workshop on ``Effective Field Theories of QCD'' held at the Physikzentrum Bad Honnef of the Deutsche Physikalische Gesellschaft, Bad Honnef, Germany from November 26 to 30, 2001. The workshop concentrated on Chiral Perturbation Theory in its various settings, its relations with lattice QCD and dispersion theory and the use of effective field theories in systems w… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0201266v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/0201266v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/0201266v1-abstract-full" style="display: none;"> These are the proceedings of the workshop on ``Effective Field Theories of QCD'' held at the Physikzentrum Bad Honnef of the Deutsche Physikalische Gesellschaft, Bad Honnef, Germany from November 26 to 30, 2001. The workshop concentrated on Chiral Perturbation Theory in its various settings, its relations with lattice QCD and dispersion theory and the use of effective field theories in systems with one, two or more nucleons as well as at high baryon densities. Included are a short contribution per talk and a listing of some review papers on the subject. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/0201266v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/0201266v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 January, 2002; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2002. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">58 pp, LaTeX2e, 2 figs, miniproceedings of the meeting on ``Effective Field Theories of QCD'', Bad Honnef, Germany, Nov.26-30, 2001</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FZJ-IKP(TH)-2002-04, LU-TP 02-03 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