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Location </span><span _ngcontent-sc152="" class="product-ryt-detail">Boca Raton</span></div></div><div _ngcontent-sc152=""><div _ngcontent-sc152="" class="display-row"><span _ngcontent-sc152="" class="display-label">Imprint </span><span _ngcontent-sc152="" class="product-ryt-detail">CRC Press</span></div></div><div _ngcontent-sc152=""></div><div _ngcontent-sc152=""><div _ngcontent-sc152="" class="display-row"><span _ngcontent-sc152="" class="display-label">Pages </span><span _ngcontent-sc152="" class="product-ryt-detail">650</span></div></div><div _ngcontent-sc152=""><div _ngcontent-sc152="" class="display-row"><span _ngcontent-sc152="" class="display-label">eBook ISBN </span><span _ngcontent-sc152="" class="product-ryt-detail">9781315170626</span></div></div><div _ngcontent-sc152=""><div _ngcontent-sc152="" class="display-row"><span _ngcontent-sc152="" class="display-label">Subjects </span><span _ngcontent-sc152="" class="product-ryt-detail">Physical Sciences</span></div></div><div _ngcontent-sc152=""><div _ngcontent-sc152="" class="display-row"><span _ngcontent-sc152="" class="display-label">OA Funder </span><span _ngcontent-sc152="" class="product-ryt-detail">SCOAP3</span></div></div></div></shared-lib-product-more-details></div></div><div _ngcontent-sc157="" class="hidden-lg hidden-md hidden-sm"><product-accessiblity-logo _ngcontent-sc157="" _nghost-sc155=""></product-accessiblity-logo><product-accessiblity-logo _ngcontent-sc157="" _nghost-sc155=""></product-accessiblity-logo></div><div _ngcontent-sc157="" class="citation"><span _ngcontent-sc157=""><button _ngcontent-sc157="" aria-label="Share" id="openShare" data-gtm="gtm-social-sharing" class="citation-container" aria-expanded="false"><span _ngcontent-sc157="" aria-haspopup="true" data-toggle="modal" data-target="#export-share" data-gtm="gtm-social-sharing" class="open-export-citation"><span _ngcontent-sc157="" class="icon-container"><img _ngcontent-sc157="" src="assets/icon/share.svg" width="100%" height="100%" alt="Share" aria-hidden="true" data-gtm="gtm-social-sharing"></span></span><div _ngcontent-sc157="" class="ctText">Share</div></button></span><span _ngcontent-sc157=""><product-get-citation _ngcontent-sc157="" _nghost-sc156=""><button _ngcontent-sc156="" data-gtm="gtm-view-citation" aria-label="Citation " id="openCitation" class="citation-container"><span _ngcontent-sc156="" data-toggle="modal" data-target="#export-citation" class="open-export-citation"><span _ngcontent-sc156="" class="icon-container"><span _ngcontent-sc156="" class="icon-citation commonIcon citation-icon"></span></span></span><div _ngcontent-sc156="" class="ctText">Citation</div></button><div _ngcontent-sc156="" id="export-citation" class="modal"><div _ngcontent-sc156="" id="citation-modal-dialog" role="dialog" class="modal-dialog modal-export-citation"><div _ngcontent-sc156="" class="modal-content"><div _ngcontent-sc156="" class="modal-header"><h2 _ngcontent-sc156="" class="modal-title">Get Citation</h2><span _ngcontent-sc156="" data-dismiss="modal"><button _ngcontent-sc156="" id="closeCitation" aria-label="Get Citation Close" class="icon-cancel commonIcon"></button></span></div><div _ngcontent-sc156="" class="modal-body"><div _ngcontent-sc156="" class="citation-text-container"><span _ngcontent-sc156="" class="citationText">Langacker, P. (2017). The Standard Model and Beyond (2nd ed.). CRC Press. https://doi.org/10.1201/b22175</span></div><div _ngcontent-sc156="" class="copy-icon-conatiner"><span _ngcontent-sc156=""><button _ngcontent-sc156="" id="copyCitation" data-gtm="gtm-copy-citation" aria-label="Copy citation link" class="btn btn-outline clearfix"> COPY </button></span></div></div></div></div></div></product-get-citation></span></div></div></product-metadata></div></div><div class="hidden-xs"><product-accessiblity-logo _nghost-sc155=""></product-accessiblity-logo></div></div></product-metadata-wrapper></div><product-data-wrapper _ngcontent-sc179="" class="container" _nghost-sc172=""><div _ngcontent-sc172="" class="product-data-wrapper-container"><product-content-wrapper _ngcontent-sc172="" class="product-tab-content" _nghost-sc169=""><div _ngcontent-sc169=""><product-about-book _ngcontent-sc169="" id="contents" class="about-book"><div data-gtm="gtm-expand-about-product"><h2 class="abstract-text"> ABSTRACT </h2><div id="collapseContent" class="book-content"><div><p><p>This new edition of <strong>The Standard Model and Beyond</strong> presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems.</p> <p>The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification.</p> <p>Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics.</p><i> <p>Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors.</p></i></p></div></div></div></product-about-book><product-toc _ngcontent-sc169="" id="aboutBooks" class="tab-pane fade in"><div><h2 class="table-contents hidden-xs hidden-sm"> TABLE OF CONTENTS </h2><product-tree-view class="product-tree-view"><div><div><div class="product-toc-wrapper"><div class="flex-container"><div class="chapter-title-pagenumber col-9"><h3 class="chapter-page-number"><product-chapter-page-number _nghost-sc159=""><span _ngcontent-sc159="" class="chapter-number"> chapter <span _ngcontent-sc159="">Chapter 1</span></span><span _ngcontent-sc159="" class="page-number">|</span><span _ngcontent-sc159="" class="page-number"><span _ngcontent-sc159="" class="number-color">6</span> pages</span></product-chapter-page-number></h3><h4 class="chapter-title"><a data-gtm="gtm-toc-chapter" role="link" class="chapter-navigation" href="/chapters/oa-mono/10.1201/b22175-1/notation-conventions-paul-langacker?context=ubx&refId=df8ff0c3-5ff8-4c15-86c1-9d5b17495629">Notation and Conventions </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" aria-describedby="0.83df8ff0c3-5ff8-4c15-86c1-9d5b17495629"><span _ngcontent-sc162="" data-gtm="gtm_chapter_download" class="download download_chapter_gtm">Download</span></button><div _ngcontent-sc162="" class="pdf-change"><span _ngcontent-sc162="" class="pdf-text" id="0.83df8ff0c3-5ff8-4c15-86c1-9d5b17495629">Size: 0.83 MB</span></div></div></div></product-chapter-pdf-options></div></div></div><div><div class="product-toc-wrapper"><div class="flex-container"><div class="chapter-title-pagenumber col-9"><h3 class="chapter-page-number"><product-chapter-page-number _nghost-sc159=""><span _ngcontent-sc159="" class="chapter-number"> chapter <span _ngcontent-sc159="">Chapter 2</span></span><span _ngcontent-sc159="" class="page-number">|</span><span _ngcontent-sc159="" class="page-number"><span _ngcontent-sc159="" class="number-color">82</span> pages</span></product-chapter-page-number></h3><h4 class="chapter-title"><a data-gtm="gtm-toc-chapter" role="link" class="chapter-navigation" href="/chapters/oa-mono/10.1201/b22175-2/review-perturbative-field-theory-paul-langacker?context=ubx&refId=13e90fc8-d90f-4bdf-92f8-0a6c39c8070f">Review of Perturbative Field Theory </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" 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href="/chapters/oa-mono/10.1201/b22175-3/lie-groups-lie-algebras-symmetries-paul-langacker?context=ubx&refId=ea8c69a8-a4f0-4467-8755-3e92a0ecd6c8">Lie Groups, Lie Algebras, and Symmetries </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" 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href="/chapters/oa-mono/10.1201/b22175-4/gauge-theories-paul-langacker?context=ubx&refId=61ed04b1-85ad-4c5e-b292-648979d0fc63">Gauge Theories </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" aria-describedby="1.1961ed04b1-85ad-4c5e-b292-648979d0fc63"><span 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href="/chapters/oa-mono/10.1201/b22175-5/strong-interactions-qcd-paul-langacker?context=ubx&refId=09c35a79-a19b-4701-af3d-45e05921a95b">The Strong Interactions and QCD </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" 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href="/chapters/oa-mono/10.1201/b22175-6/collider-physics-paul-langacker?context=ubx&refId=5dafc0f5-9188-402a-b540-b3eb022e7e75">Collider Physics </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" aria-describedby="1.895dafc0f5-9188-402a-b540-b3eb022e7e75"><span 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href="/chapters/oa-mono/10.1201/b22175-7/weak-interactions-paul-langacker?context=ubx&refId=ed9f3634-29a3-45ea-8aaa-959a7ea96217">The Weak Interactions </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" aria-describedby="1.57ed9f3634-29a3-45ea-8aaa-959a7ea96217"><span 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href="/chapters/oa-mono/10.1201/b22175-8/standard-electroweak-theory-paul-langacker?context=ubx&refId=07e11317-df18-4667-95c1-1a464b235458">The Standard Electroweak Theory </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" 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href="/chapters/oa-mono/10.1201/b22175-9/neutrino-mass-mixing-paul-langacker?context=ubx&refId=6b800698-a3f6-429c-af4f-9d01b86d9bf7">Neutrino Mass and Mixing </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" aria-describedby="4.426b800698-a3f6-429c-af4f-9d01b86d9bf7"><span 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href="/chapters/oa-mono/10.1201/b22175-10/beyond-standard-model-paul-langacker?context=ubx&refId=ac2c2e5c-a464-4aa7-8285-9562c7487c63">Beyond the Standard Model </a></h4><shared-lib-view-abstract viewdetailtext="Abstract" hidedetailtext="Abstract" _nghost-sc160=""><div _ngcontent-sc160="" class="view-abstract"><button _ngcontent-sc160="" data-toggle="collapse" data-target=".multi-collapse" aria-controls="multi-collapse" class="viewAbstractBtn" data-gtm="gtm-view-abstract" aria-expanded="false"> Abstract <em _ngcontent-sc160="" data-gtm="gtm-view-abstract" class="icon-down btn-link"></em></button></div></shared-lib-view-abstract></div><product-chapter-pdf-options class="download-pdf-button col-3" _nghost-sc162=""><div _ngcontent-sc162="" class="chapter-indicator-wrapper"><div _ngcontent-sc162=""><button _ngcontent-sc162="" target="_blank" data-gtm="gtm_chapter_download" class="btn btn-outline download_chapter_gtm clearfix" 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Mobi&q;,&q;type&q;:&q;access&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null},{&q;name&q;:&q;open-access&q;,&q;code&q;:&q;OA&q;,&q;text&q;:null,&q;type&q;:&q;access&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null}],&q;rights&q;:[],&q;book&q;:{&q;subtitle&q;:null,&q;description&q;:&q;&l;P&g;This new edition of &l;STRONG&g;The Standard Model and Beyond&l;/STRONG&g; presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems.&l;/P&g;\n&l;P&g;The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification.&l;/P&g;\n&l;P&g;Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics.&l;/P&g;&l;I&g;\n&l;P&g;Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors.&l;/P&g;&l;/I&g;&q;,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;blurb&q;,&q;value&q;:&q;&l;p&g;This new edition of &l;bold&g;The Standard Model and Beyond&l;/bold&g; presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems.&l;/p&g;\n &l;p&g;The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification.&l;/p&g;\n &l;p&g;Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics.&l;/p&g;\n &l;p&g;\n &l;italic&g;Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors&l;/italic&g;.&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). The Standard Model and Beyond (2nd ed.). CRC Press. https://doi.org/10.1201/b22175&q;,&q;bindingStyle&q;:&q;eBook - General&q;,&q;bindingStyleCode&q;:&q;EBGE&q;,&q;publicationLocation&q;:&q;Boca Raton&q;,&q;formerImprints&q;:[{&q;code&q;:null,&q;description&q;:null}],&q;formatCode&q;:&q;EBK&q;,&q;format&q;:&q;e-Book&q;,&q;textType&q;:&q;Textbook (Standard) (DRM-Free)&q;,&q;publisherArea&q;:&q;Science&q;,&q;publisherAreaCode&q;:&q;SCIENCE&q;,&q;status&q;:&q;Available&q;,&q;toc&q;:&q;&l;![CDATA[&l;P&g;&l;STRONG&g;Notation and Conventions&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Review of Perturbative Field Theory&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Lie Groups, Lie Algebras, and Symmetries&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Gauge Theories&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;The Strong Interactions and QCD&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Collider Physics&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;The Weak Interactions&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;The Standard Electroweak Theory&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Neutrino Mass and Mixing&l;/STRONG&g;&l;/P&g;\n&l;P&g;&l;STRONG&g;Beyond the Standard Model&l;/STRONG&g;&l;/P&g;\n&l;P&g;Appendix A: Canonical Commutation Rules&l;/P&g;\n&l;P&g;Appendix B: Derivation of a Simple Feynman Diagram&l;/P&g;\n&l;P&g;Appendix C: Unitarity, the Partial Wave Expansion, and the Optical Theorem&l;/P&g;\n&l;P&g;Appendix D: Two, Three, and nBody Phase Space&l;/P&g;\n&l;P&g;Appendix E: Calculation of the Anomalous Magnetic Moment of the Electron&l;/P&g;\n&l;P&g;Appendix F: BreitWigner Resonances&l;/P&g;\n&l;P&g;Appendix G: Implications of P, C, T, and Gparity for Nucleon Matrix Elements&l;/P&g;\n&l;P&g;Appendix H: Quantum Mechanical Analogs of Symmetry Breaking&l;/P&g;]]&g;&q;,&q;counts&q;:[{&q;type&q;:&q;manuscriptPages&q;,&q;count&q;:648},{&q;type&q;:&q;illustrationsBW&q;,&q;count&q;:143},{&q;type&q;:&q;line_artsBW&q;,&q;count&q;:120},{&q;type&q;:&q;tablesBW&q;,&q;count&q;:26},{&q;type&q;:&q;halftonesBW&q;,&q;count&q;:23},{&q;type&q;:&q;pagesArabic&q;,&q;count&q;:636},{&q;type&q;:&q;pagesRoman&q;,&q;count&q;:14}],&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;}},&q;identifiers&q;:{&q;isbn&q;:&q;9781315170626&q;,&q;isbn10&q;:&q;1315170620&q;,&q;dacKey&q;:&q;C2015-0-76582-2&q;,&q;editionId&q;:&q;588144&q;,&q;doi&q;:&q;10.1201/b22175&q;,&q;orderNumber&q;:&q;KE41828&q;,&q;titleId&q;:&q;152335&q;,&q;oclcCatalogNumber&q;:&q;992168245&q;},&q;formats&q;:[{&q;format&q;:&q;epub&q;,&q;identifiers&q;:{&q;isbn&q;:&q;9781498763240&q;},&q;accessibility&q;:{&q;accessibilityFeature&q;:[&q;ARIA&q;,&q;index&q;,&q;pageBreakMarkers&q;,&q;pageNavigation&q;,&q;readingOrder&q;,&q;structuralNavigation&q;,&q;tableOfContents&q;,&q;describedMath&q;,&q;displayTransformability&q;,&q;MathML&q;],&q;accessibilityHazard&q;:[&q;noSoundHazard&q;],&q;accessMode&q;:[&q;textual&q;,&q;visual&q;],&q;accessModeSufficient&q;:[&q;textual,visual&q;],&q;accessibilitySummary&q;:&q;This title is working towards, but does not yet fully meet the AA level of the Web Content Accessibility Guidelines. 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of particle physics (i.e., of point particles). 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3&q;,&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;},&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;groupOfCompany&q;:&q;OBB&q;,&q;podSuitable&q;:false,&q;subtitle&q;:null,&q;description&q;:null,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;inLanguage&q;:&q;eng&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;first-paragraph&q;,&q;value&q;:&q;&l;p&g;Lie groups and algebras are used to describe continuous global and gauge symmetries in classical and quantum mechanics and in field theory. A familiar example is the description of rotational invariance in quantum mechanics. In particle physics Lie groups are useful not only for space-time symmetries such as translations, rotations, and Lorentz transformations, but also for internal symmetries such as isospin. It is assumed that the reader is familiar with such basic notions as irreducible representations (IRREPs), direct products, and irreducible tensor operators. Excellent introductions more detailed than the treatment here include (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref167\&q;&g;Georgi, 1999&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1341\&q;&g;Yndurain, 2007&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref168\&q;&g;Gilmore, 2005&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref175\&q;&g;Ramond, 2010&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref164\&q;&g;Barnes, 2010&l;/xref&g;). Finite discrete groups are treated in detail in (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref175\&q;&g;Ramond, 2010&l;/xref&g;), and more briefly in &l;xref ref-type=\&q;sec\&q; rid=\&q;sec2_10\&q;&g;Sections 2.10&l;/xref&g; and &l;xref ref-type=\&q;sec\&q; rid=\&q;sec3_2_5\&q;&g;3.2.5&l;/xref&g;.&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). Lie Groups, Lie Algebras, and Symmetries. The Standard Model and Beyond (2nd ed., pp. 89-134). 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rid=\&q;chapter3\&q;&g;Chapter 3&l;/xref&g; we considered continuous &l;italic&g;global&l;/italic&g; symmetries, parametrized by real constants &l;italic&g;β&l;sup&g;i&l;/sup&g;\n &l;/italic&g;. In &l;italic&g;local&l;/italic&g; or &l;italic&g;gauge&l;/italic&g; symmetries&l;xref ref-type=\&q;fn\&q; rid=\&q;fn4_1\&q;&g;\n &l;sup&g;1&l;/sup&g;\n &l;/xref&g; the &l;italic&g;β&l;sup&g;i&l;/sup&g;\n &l;/italic&g; are promoted to arbitrary differentiable functions &l;italic&g;β&l;sup&g;i&l;/sup&g;\n &l;/italic&g;(&l;italic&g;x&l;/italic&g;) of space and time. Gauge invariance is sometimes motivated on esthetic grounds. For example, why should the phase of the electron field on the Earth be correlated with its phase on Mars? This is not entirely compelling because the standard model does involve global symmetries (though they may derive from gauge symmetries in an underlying theory). In any case, we will take the pragmatic view that gauge invariance is a powerful tool for constructing well-behaved field theories and are the unique renormalizable field theories for spin-1 particles. In particular, each generator of a gauge invariant theory must correspond to an (apparently) massless spin-1 &l;italic&g;gauge boson&l;/italic&g;, which mediates an (apparently) long-range force, and the diagonal generators of an unbroken gauge theory correspond to conserved charges (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1317\&q;&g;Weyl, 1929&l;/xref&g;). The gauge interactions are uniquely prescribed once one specifies the gauge group, the representations of the matter fields, and a gauge coupling constant &l;italic&g;g&l;/italic&g; for each group factor. This approach is opposite to historical development: Maxwell’s equations of classical electrodynamics were first derived from observation and consistency, and then it was noticed that they were invariant under gauge transformations, i.e., that the vector and scalar potential involved redundant degrees of freedom. In this chapter, we outline the construction of gauge invariant Lagrangian densities. More detailed treatments include (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref213\&q;&g;Abers and Lee, 1973&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1299\&q;&g;Weinberg, 1973c&l;/xref&g;,&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1300\&q;&g;d&l;/xref&g;, &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref23\&q;&g;1995&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref13\&q;&g;Peskin and Schroeder, 1995&l;/xref&g;).&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). Gauge Theories. The Standard Model and Beyond (2nd ed., pp. 135-156). 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5&q;,&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;},&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;groupOfCompany&q;:&q;OBB&q;,&q;podSuitable&q;:false,&q;subtitle&q;:null,&q;description&q;:null,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;inLanguage&q;:&q;eng&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;first-paragraph&q;,&q;value&q;:&q;&l;p&g;The modern theory of the strong interactions is &l;italic&g;quantum chromodynamics&l;/italic&g; (QCD). The basic ingredient is that each of the six &l;italic&g;flavors&l;/italic&g; or types of quark, &l;italic&g;u, d, s, c, b&l;/italic&g;, and &l;italic&g;t&l;/italic&g;, has an additional quantum number &l;italic&g;color&l;/italic&g;, which takes the values &l;italic&g;α&l;/italic&g; = 1, 2, 3, or red (R), green (G), blue (B), and that there is an unbroken non-chiral &l;italic&g;SU&l;/italic&g;(3) gauge symmetry acting on the color index. Thus, there are 8 massless gauge bosons (&l;italic&g;gluons&l;/italic&g;), &l;italic&g;G&l;sup&g;i&l;/sup&g;\n &l;/italic&g;, and a strong gauge coupling &l;italic&g;g&l;sub&g;s&l;/sub&g;\n &l;/italic&g; and strong fine structure constant &l;inline-formula&g;\n &l;alternatives&g;\n &l;mml:math display=\&q;inline\&q; xmlns:mml=\&q;&l;a href=\&q;https://www.w3.org/1998/Math/MathML\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1998/Math/MathML&l;/a&g;\&q;&g;\n &l;mml:mrow&g;\n &l;mml:msub&g;\n &l;mml:mi&g;α&l;/mml:mi&g;\n &l;mml:mi&g;s&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;=&l;/mml:mo&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;g&l;/mml:mi&g;\n &l;mml:mi&g;s&l;/mml:mi&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;/mml:msubsup&g;\n &l;mml:mo&g;/&l;/mml:mo&g;\n &l;mml:mn&g;4&l;/mml:mn&g;\n &l;mml:mi&g;π&l;/mml:mi&g;\n &l;/mml:mrow&g;\n &l;/mml:math&g;\n &l;inline-graphic xlink:href=\&q;&l;a href=\&q;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_1815.tif\&q; target=\&q;_blank\&q;&g;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_1815.tif&l;/a&g;\&q; xmlns:xlink=\&q;&l;a href=\&q;https://www.w3.org/1999/xlink\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1999/xlink&l;/a&g;\&q;/&g;\n &l;/alternatives&g;\n &l;/inline-formula&g;. In this chapter we survey the properties of the strong interactions and QCD, especially the symmetry aspects at short and long distances. For more detailed treatments, see, e.g., (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref445\&q;&g;Brock et al., 1995&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1152\&q;&g;Pich, 1999&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref61\&q;&g;Ellis et al., 2003&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1248\&q;&g;Sterman, 2004&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref954\&q;&g;Kronfeld and Quigg, 2010&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1205\&q;&g;Salam, 2010a&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1239\&q;&g;Skands, 2013&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref262\&q;&g;Altarelli, 2013&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1274\&q;&g;Trócsányi, 2015&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1133\&q;&g;Patrignani, 2016&l;/xref&g;). For the historical development, see, e.g., (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref807\&q;&g;Gross, 2005&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1011\&q;&g;Leutwyler, 2014&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref64\&q;&g;Fritzsch and Gell-Mann, 2015&l;/xref&g;).&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). The Strong Interactions and QCD. The Standard Model and Beyond (2nd ed., pp. 157-204). 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6&q;,&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;},&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;groupOfCompany&q;:&q;OBB&q;,&q;podSuitable&q;:false,&q;subtitle&q;:null,&q;description&q;:null,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;inLanguage&q;:&q;eng&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;first-paragraph&q;,&q;value&q;:&q;&l;p&g;Most of our knowledge of the elementary particles and their interactions comes from experiments performed at accelerators and colliders. In &l;italic&g;fixed target experiments&l;/italic&g; primary particle beams (e.g., &l;italic&g;e&l;/italic&g;\n &l;sup&g;−&l;/sup&g;, &l;italic&g;p&l;/italic&g;, ion) from an accelerator collide with a fixed macroscopic target. They have the advantage of high relative fluxes because of the target density. They can also generate secondary beams of particles or antiparticles produced directly in the primary collision, by subsequent decays, or by radiation. These may be unstable or neutral, and include mesons, hyperons, &l;italic&g;e&l;/italic&g;\n &l;sup&g;+&l;/sup&g;, &l;italic&g;μ&l;/italic&g;\n &l;sup&g;±&l;/sup&g;, &l;italic&g;ν&l;/italic&g;, &l;inline-formula&g;\n &l;alternatives&g;\n &l;mml:math display=\&q;inline\&q; xmlns:mml=\&q;&l;a href=\&q;https://www.w3.org/1998/Math/MathML\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1998/Math/MathML&l;/a&g;\&q;&g;\n &l;mml:mover accent=\&q;true\&q;&g;\n &l;mml:mi&g;ν&l;/mml:mi&g;\n &l;mml:mo&g;¯&l;/mml:mo&g;\n &l;/mml:mover&g;\n &l;/mml:math&g;\n &l;inline-graphic xlink:href=\&q;&l;a href=\&q;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_2274.tif\&q; target=\&q;_blank\&q;&g;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_2274.tif&l;/a&g;\&q; xmlns:xlink=\&q;&l;a href=\&q;https://www.w3.org/1999/xlink\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1999/xlink&l;/a&g;\&q;/&g;\n &l;/alternatives&g;\n &l;/inline-formula&g;, and &l;italic&g;γ&l;/italic&g;. &l;italic&g;Colliders&l;/italic&g; have the complementary advantage of allowing higher center of mass energies. For example, in the CERN and SLAC &l;italic&g;e&l;/italic&g;\n &l;sup&g;+&l;/sup&g;\n &l;italic&g;e&l;/italic&g;\n &l;sup&g;−&l;/sup&g; experiments at the &l;italic&g;Z&l;/italic&g;-pole each beam had an energy of &l;italic&g;M&l;sub&g;Z&l;/sub&g;\n &l;/italic&g;/2 ∼ 45 GeV, while the production of a &l;italic&g;Z&l;/italic&g; utilizing an &l;italic&g;e&l;/italic&g;\n &l;sup&g;+&l;/sup&g; beam scattering from atomic electrons would require &l;inline-formula&g;\n &l;alternatives&g;\n &l;mml:math display=\&q;inline\&q; xmlns:mml=\&q;&l;a href=\&q;https://www.w3.org/1998/Math/MathML\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1998/Math/MathML&l;/a&g;\&q;&g;\n &l;mml:mrow&g;\n &l;mml:msub&g;\n &l;mml:mi&g;E&l;/mml:mi&g;\n &l;mml:mrow&g;\n &l;mml:msup&g;\n &l;mml:mi&g;e&l;/mml:mi&g;\n &l;mml:mo&g;+&l;/mml:mo&g;\n &l;/mml:msup&g;\n &l;/mml:mrow&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;~&l;/mml:mo&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;M&l;/mml:mi&g;\n &l;mml:mi&g;Z&l;/mml:mi&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;/mml:msubsup&g;\n &l;mml:mo&g;/&l;/mml:mo&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;mml:msub&g;\n &l;mml:mi&g;m&l;/mml:mi&g;\n &l;mml:mi&g;e&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;~&l;/mml:mo&g;\n &l;mml:mn&g;8&l;/mml:mn&g;\n &l;mml:mo&g;×&l;/mml:mo&g;\n &l;mml:msup&g;\n &l;mml:mrow&g;\n &l;mml:mn&g;10&l;/mml:mn&g;\n &l;/mml:mrow&g;\n &l;mml:mn&g;6&l;/mml:mn&g;\n &l;/mml:msup&g;\n &l;/mml:mrow&g;\n &l;/mml:math&g;\n &l;inline-graphic xlink:href=\&q;&l;a href=\&q;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_2275.tif\&q; target=\&q;_blank\&q;&g;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_2275.tif&l;/a&g;\&q; xmlns:xlink=\&q;&l;a href=\&q;https://www.w3.org/1999/xlink\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1999/xlink&l;/a&g;\&q;/&g;\n &l;/alternatives&g;\n &l;/inline-formula&g; GeV!&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). Collider Physics. The Standard Model and Beyond (2nd ed., pp. 205-222). 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7&q;,&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;},&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;groupOfCompany&q;:&q;OBB&q;,&q;podSuitable&q;:false,&q;subtitle&q;:null,&q;description&q;:null,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;inLanguage&q;:&q;eng&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;first-paragraph&q;,&q;value&q;:&q;&l;p&g;In this chapter we discuss the charged current weak interactions. After a short overview of the developments that led to the standard model, we describe the Fermi theory, which in its modern form still gives an excellent description of a wide variety of weak decay and scattering processes at tree level. (In some cases, radiative corrections, which require the full structure of the standard model, are required.) Some representative processes are calculated and described. Much more detailed treatments may be found in, e.g., (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref79\&q;&g;Commins and Bucksbaum, 1983&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref94\&q;&g;Renton, 1990&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref89\&q;&g;Langacker, 1995&l;/xref&g;; &l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1133\&q;&g;Patrignani, 2016&l;/xref&g;).&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). The Weak Interactions. The Standard Model and Beyond (2nd ed., pp. 223-256). 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&l;italic&g;SU&l;/italic&g;(3) × &l;italic&g;SU&l;/italic&g;(2) × &l;italic&g;U&l;/italic&g;(1) model in detail, including the structure of the Lagrangian density, the spontaneous symmetry breaking mechanism, and the rewriting of the Lagrangian after SSB. The electroweak gauge interactions, the properties of the W and &l;italic&g;Z&l;/italic&g;, the Higgs, and &l;italic&g;CP&l;/italic&g; violation are described, while neutrino mass and mixing is considered in &l;xref ref-type=\&q;book-part\&q; rid=\&q;chapter9\&q;&g;Chapter 9&l;/xref&g;. More detailed treatments may be found in the books and reviews listed in the bibliography, while the historical development is described in (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1310\&q;&g;Weinberg, 2004&l;/xref&g;) and (&l;xref ref-type=\&q;bibr\&q; rid=\&q;ref1176\&q;&g;Quigg, 2015&l;/xref&g;).&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). The Standard Electroweak Theory. The Standard Model and Beyond (2nd ed., pp. 257-372). 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geophysics, and astrophysics on scales ranging from 10&l;sup&g;−33&l;/sup&g; to 10&l;sup&g;+28&l;/sup&g; cm. Neutrino scattering and decays involving neutrinos have been essential in establishing the Fermi theory and parity violation, determining the elements of the CKM matrix, and testing the weak neutral current predictions of the standard model, and therefore played a significant role in the precision electroweak program as described in &l;xref ref-type=\&q;sec\&q; rid=\&q;sec8_3_6\&q;&g;Section 8.3.6&l;/xref&g;. Deep inelastic scattering involving neutrinos and charged leptons has also been critical in establishing the existence and properties of quarks, the structure of the nucleon, and the predictions of the short distance behavior of QCD. Similarly, neutrinos are important for the physics and/or probes of the Sun, Earth, stars, core-collapse supernovae, the origins of cosmic rays, the large scale structure of the universe, big bang nucleosynthesis, and possibly baryogenesis.&l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). Neutrino Mass and Mixing. 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DRMN&q;,&q;identifiers&q;:{&q;sku&q;:&q;01t7T000000qzIiQAI&q;,&q;collectionId&q;:&q;SAL-DIME-DRMN&q;},&q;subType&q;:&q;Discovery Collection&q;},{&q;_id&q;:&q;3a5c311e-900d-4541-bf06-105f9285bd44&q;,&q;type&q;:&q;collection&q;,&q;level&q;:1,&q;position&q;:1049,&q;title&q;:&q;PHYSICSnetBASE XX19&q;,&q;identifiers&q;:{&q;collectionId&q;:&q;NET-PHYSICS-XX19&q;},&q;subType&q;:&q;Sales Collection&q;},{&q;_id&q;:&q;061dbfaf-7d8c-4b91-8405-303f275eddfb&q;,&q;type&q;:&q;collection&q;,&q;level&q;:1,&q;position&q;:19092,&q;title&q;:&q;SCI-TECHnetBASE XX19&q;,&q;identifiers&q;:{&q;collectionId&q;:&q;NET-SCI-TECH-XX19&q;},&q;subType&q;:&q;Sales Collection&q;},{&q;_id&q;:&q;1e341b5c-f4c8-432c-b4a8-01ccf438bf78&q;,&q;type&q;:&q;collection&q;,&q;level&q;:1,&q;position&q;:20333,&q;title&q;:&q;STMnetBASE XX19&q;,&q;identifiers&q;:{&q;collectionId&q;:&q;NET-STM-XX19&q;},&q;subType&q;:&q;Sales Collection&q;}],&q;permissions&q;:[{&q;name&q;:&q;rfm&q;,&q;code&q;:&q;CTMRFM&q;,&q;text&q;:&q;Ready For Market&q;,&q;type&q;:&q;sales&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null},{&q;name&q;:&q;EBRALL&q;,&q;code&q;:&q;EBRALL&q;,&q;text&q;:&q;Institutional, retail and Atypon&q;,&q;type&q;:&q;access&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null},{&q;name&q;:&q;NORIGHTSMOB&q;,&q;code&q;:&q;NORIGHTSMOB&q;,&q;text&q;:&q;No Mobi&q;,&q;type&q;:&q;access&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null},{&q;name&q;:&q;open-access&q;,&q;code&q;:&q;OA&q;,&q;text&q;:null,&q;type&q;:&q;access&q;,&q;description&q;:null,&q;validTo&q;:null,&q;validFrom&q;:null}],&q;audience&q;:[{&q;code&q;:&q;RPG&q;,&q;description&q;:&q;Postgraduate&q;},{&q;code&q;:&q;RPR&q;,&q;description&q;:&q;Professional&q;}],&q;chapter&q;:{&q;pageStart&q;:&q;425&q;,&q;pageEnd&q;:&q;506&q;,&q;label&q;:&q;Chapter 10&q;,&q;license&q;:{&q;type&q;:&q;open-access&q;,&q;description&q;:null,&q;location&q;:&q;http://creativecommons.org/licenses/by-nc/4.0&q;},&q;fundingGroups&q;:[{&q;fundingStatement&q;:null,&q;awardGroupDetails&q;:[{&q;name&q;:&q;funderName&q;,&q;value&q;:&q;SCOAP3&q;}]}],&q;groupOfCompany&q;:&q;OBB&q;,&q;podSuitable&q;:false,&q;subtitle&q;:null,&q;description&q;:null,&q;publisherImprint&q;:&q;CRC Press&q;,&q;publicationDate&q;:&q;2017-06-26T00:00:00.000Z&q;,&q;copyright&q;:{&q;holder&q;:&q;Taylor &a; Francis Group, LLC&q;,&q;year&q;:2017,&q;statement&q;:&q;© 2017 by Taylor &a; Francis Group, LLC&q;},&q;edition&q;:2,&q;doiRegistrationStatus&q;:false,&q;firstPublishedYear&q;:&q;2017&q;,&q;plannedPublicationDate&q;:&q;2017-06-14T00:00:00.000Z&q;,&q;inLanguage&q;:&q;eng&q;,&q;abstracts&q;:[{&q;type&q;:&q;xml&q;,&q;position&q;:0,&q;caption&q;:null,&q;transcript&q;:null,&q;textType&q;:&q;first-paragraph&q;,&q;value&q;:&q;&l;p&g;The structure of the electroweak part of the standard model was explored in detail in &l;xref ref-type=\&q;book-part\&q; rid=\&q;chapter8\&q;&g;Chapter 8&l;/xref&g;, but for convenience we summarize the Lagrangian density after spontaneous symmetry breaking:&l;xref ref-type=\&q;fn\&q; rid=\&q;fn10_1\&q;&g;\n &l;sup&g;1&l;/sup&g;\n &l;/xref&g;\n &l;disp-formula&g;(&l;label&g;10.1&l;/label&g;)&l;alternatives&g;\n &l;mml:math display=\&q;block\&q; xmlns:mml=\&q;&l;a href=\&q;https://www.w3.org/1998/Math/MathML\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1998/Math/MathML&l;/a&g;\&q;&g;\n &l;mml:mrow&g;\n &l;mml:mtable&g;\n &l;mml:mtr&g;\n &l;mml:mtd&g;\n &l;mml:mrow&g;\n &l;mml:mi&g;ℒ&l;/mml:mi&g;\n &l;mml:mo&g;=&l;/mml:mo&g;\n &l;mml:msub&g;\n &l;mml:mi&g;ℒ&l;/mml:mi&g;\n &l;mml:mrow&g;\n &l;mml:mtext&g;gauge &l;/mml:mtext&g;\n &l;/mml:mrow&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;+&l;/mml:mo&g;\n &l;mml:msub&g;\n &l;mml:mi&g;ℒ&l;/mml:mi&g;\n &l;mml:mi&g;ϕ&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;+&l;/mml:mo&g;\n &l;mml:munder&g;\n &l;mml:mrow&g;\n &l;mml:msup&g;\n &l;mml:mstyle&g;\n &l;mml:mo&g;∑&l;/mml:mo&g;\n &l;/mml:mstyle&g;\n &l;mml:mtext&g;&l;/mml:mtext&g;\n &l;/mml:msup&g;\n &l;/mml:mrow&g;\n &l;mml:mi&g;r&l;/mml:mi&g;\n &l;/mml:munder&g;\n &l;mml:msub&g;\n &l;mml:mover accent=\&q;true\&q;&g;\n &l;mml:mi&g;ψ&l;/mml:mi&g;\n &l;mml:mo&g;¯&l;/mml:mo&g;\n &l;/mml:mover&g;\n &l;mml:mi&g;r&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mrow&g;\n &l;mml:mo&g;(&l;/mml:mo&g;\n &l;mml:mrow&g;\n &l;mml:mi&g;i&l;/mml:mi&g;\n &l;mml:menclose notation=\&q;updiagonalstrike\&q;&g;\n &l;mml:mo&g;∂&l;/mml:mo&g;\n &l;/mml:menclose&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;mml:msub&g;\n &l;mml:mi&g;m&l;/mml:mi&g;\n &l;mml:mi&g;r&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;mml:mfrac&g;\n &l;mml:mrow&g;\n &l;mml:msub&g;\n &l;mml:mi&g;m&l;/mml:mi&g;\n &l;mml:mi&g;r&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mi&g;H&l;/mml:mi&g;\n &l;/mml:mrow&g;\n &l;mml:mi&g;ν&l;/mml:mi&g;\n &l;/mml:mfrac&g;\n &l;/mml:mrow&g;\n &l;mml:mo&g;)&l;/mml:mo&g;\n &l;/mml:mrow&g;\n &l;mml:msub&g;\n &l;mml:mi&g;ψ&l;/mml:mi&g;\n &l;mml:mi&g;r&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;/mml:mrow&g;\n &l;/mml:mtd&g;\n &l;/mml:mtr&g;\n &l;mml:mtr&g;\n &l;mml:mtd&g;\n &l;mml:mrow&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;mml:mfrac&g;\n &l;mml:mi&g;g&l;/mml:mi&g;\n &l;mml:mrow&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;mml:msqrt&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;/mml:msqrt&g;\n &l;/mml:mrow&g;\n &l;/mml:mfrac&g;\n &l;mml:mrow&g;\n &l;mml:mo&g;(&l;/mml:mo&g;\n &l;mml:mrow&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;J&l;/mml:mi&g;\n &l;mml:mi&g;W&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;/mml:msubsup&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;W&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;/mml:msubsup&g;\n &l;mml:mo&g;+&l;/mml:mo&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;J&l;/mml:mi&g;\n &l;mml:mi&g;W&l;/mml:mi&g;\n &l;mml:mrow&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;mml:mo&g;†&l;/mml:mo&g;\n &l;/mml:mrow&g;\n &l;/mml:msubsup&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;W&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;mml:mo&g;+&l;/mml:mo&g;\n &l;/mml:msubsup&g;\n &l;/mml:mrow&g;\n &l;mml:mo&g;)&l;/mml:mo&g;\n &l;/mml:mrow&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;mml:mi&g;e&l;/mml:mi&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;J&l;/mml:mi&g;\n &l;mml:mi&g;Q&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;/mml:msubsup&g;\n &l;mml:msub&g;\n &l;mml:mi&g;A&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;mml:mo&g;−&l;/mml:mo&g;\n &l;mml:mfrac&g;\n &l;mml:mi&g;g&l;/mml:mi&g;\n &l;mml:mrow&g;\n &l;mml:mn&g;2&l;/mml:mn&g;\n &l;mml:mi&g;cos&l;/mml:mi&g;\n &l;mml:msub&g;\n &l;mml:mi&g;θ&l;/mml:mi&g;\n &l;mml:mi&g;W&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;/mml:mrow&g;\n &l;/mml:mfrac&g;\n &l;mml:msubsup&g;\n &l;mml:mi&g;J&l;/mml:mi&g;\n &l;mml:mi&g;Z&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;/mml:msubsup&g;\n &l;mml:msub&g;\n &l;mml:mi&g;Z&l;/mml:mi&g;\n &l;mml:mi&g;μ&l;/mml:mi&g;\n &l;/mml:msub&g;\n &l;/mml:mrow&g;\n &l;/mml:mtd&g;\n &l;/mml:mtr&g;\n &l;/mml:mtable&g;\n &l;mml:mo&g;,&l;/mml:mo&g;\n &l;/mml:mrow&g;\n &l;/mml:math&g;\n &l;graphic xlink:href=\&q;&l;a href=\&q;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_4543.tif\&q; target=\&q;_blank\&q;&g;https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315170626/2130fe5e-77bd-49fa-b8c1-fbaea94dfb59/content/equ_4543.tif&l;/a&g;\&q; xmlns:xlink=\&q;&l;a href=\&q;https://www.w3.org/1999/xlink\&q; target=\&q;_blank\&q;&g;https://www.w3.org/1999/xlink&l;/a&g;\&q;/&g;\n &l;/alternatives&g;\n &l;/disp-formula&g;\n &l;/p&g;&q;}],&q;citation&q;:&q;Langacker, P. (2017). Beyond the Standard Model. The Standard Model and Beyond (2nd ed., pp. 425-506). 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