Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.

doi:10.1088/1361-6471/aa888a

Title: Determination of $${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$$ at five loops from holographic QCD

Journal Article · Fri Aug 25 00:00:00 EDT 2017 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/1361-6471/aa888a· OSTI ID:1379486

Deur, Alexandre ^[1]; Brodsky, Stanley J. ^[2]; de Téramond, Guy F. ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
Universidad de Costa Rica, San Jose (Costa Rica)

The recent determination of the $$\beta$$--function of the QCD running coupling $$\alpha_{\overline{MS}}(Q^2)$$ to 5-loops{\color{blue},} provides a verification of the convergence of a novel method for determining the fundamental QCD parameter $$\Lambda_s$$ based on the Light-Front Holographic approach to nonperturbative QCD. The new 5-loop analysis, together with improvements in determining the holographic QCD nonperturbative scale parameter $$\kappa$$ from hadronic spectroscopy, leads to an improved precision of the value of $$\Lambda_s$$ in the $${\overline{MS}}$$ scheme close to a factor of two; we find $$\Lambda^{(3)}_{\overline{MS}}=0.339\pm0.019$$ GeV for $$n_{f}=3$$, in excellent agreement with the world average, $$\Lambda_{\overline{MS}}^{(3)}=0.332\pm0.017$$ GeV. We also discuss the constraints imposed on the scale dependence of the strong coupling in the nonperturbative domain by superconformal quantum mechanics and its holographic embedding in anti-de Sitter space.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; AC02-76SF00515

OSTI ID:: 1379486

Alternate ID(s):: OSTI ID: 1418322

Report Number(s):: JLAB-PHY-16-2312; DOE/OR/23177-3913; arXiv:1608.04933

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Vol. 44, Issue 10; ISSN 0954-3899

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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J.; de Teramond, G. 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A.; Chetyrkin, K. G.; Kühn, J. H.</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.1606.08659" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.1606.08659<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2016-01-01">January 2016</span></td> </tr><tr> <td> <a href="https://doi.org/10.48550/arxiv.hep-ph/0509113" target="_blank" rel="noopener noreferrer" class="title" data-title="Experimental determination of the effective strong coupling constant">Experimental determination of the effective strong coupling constant<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Deur, A.; Burkert, V.; Chen, J. P.</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.hep-ph/0509113" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.hep-ph/0509113<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2005-01-01">January 2005</span></td> </tr><tr> <td> <a href="https://doi.org/10.48550/arxiv.hep-ph/0607209" target="_blank" rel="noopener noreferrer" class="title" data-title="On the running coupling constant in QCD">On the running coupling constant in QCD<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Prosperi, G. M.; Raciti, M.; Simolo, C.</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.hep-ph/0607209" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.hep-ph/0607209<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2006-01-01">January 2006</span></td> </tr></tbody></table> </div> </div> </section> <hr class="mt-2 mb-2"/> <section id="section-citations" data-list="list_cite" class="tab-content-sec osti-curated biblio-section section-scroll" style="scroll-margin-top:110px;"> <div class="biblio-section-navbar active row"> <div class="col"> <h2 class="abstract biblio-section-title mt-0 mb-0-5" style="cursor:pointer;"><span class="fa indicator"></span> Cited By (11) <span class="text-muted list-table-filternum"></span></h2> </div> <div class="col-md-12 col-lg-auto"> <form class="pure-form reference-filter d-print-none"> <div class="small biblio-section-navbar-tool"> <label for="list-table-search-citations" class="sr-only">Search citations: </label> <input type="text" class="list-table-search mt-0 mb-0-5 ml-1" id="list-table-search-citations" placeholder="Search citations ..."> </div> <div class="small biblio-section-navbar-tool"> <select class="list-table-type mt-0 mb-0-5"> <option value="">Resource Types</option> <option value="journal">Journal</option><option value="text">Text</option><option value="conference">Conference</option> </select> </div> <div class="small biblio-section-navbar-tool"> <select class="list-table-sort mt-0 mb-0-5"> <option value="date">Sort by Date</option> <option value="title">Sort by Title</option> </select> </div> <div class="small biblio-section-navbar-tool"> <button type="reset" class="pure-button list-table-reset mt-0 mb-0-5">↺</button> </div> </form> </div> </div> <div class="row"> <div class="col-sm-12"> <table id="list-table-citations" class="truncate-rows list-table table-striped" data-rows="5" style="width:100%;"><tbody class="list"><tr> <td> <a href="https://doi.org/10.1007/s00601-018-1337-3" target="_blank" rel="noopener noreferrer" class="title" data-title="QCDConstrained Dynamical Spin Effects in the Pion Holographic LightFront Wavefunction">QCD-Constrained Dynamical Spin Effects in the Pion Holographic Light-Front Wavefunction<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; 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padding-left: 0; line-height:1.8em;"> <li class="authors">Karbstein, Felix; Wagner, Marc; Weber, Michelle</li> <li class="mb-0-5 source"> <span class="mr-1">Physical Review D, Vol. 98, Issue 11</span> <span class="text-muted"><a href="https://doi.org/10.1103/physrevd.98.114506" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1103/physrevd.98.114506<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="journal">journal</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2018-12-01">December 2018</span></td> </tr><tr> <td> <a href="https://doi.org/10.1140/epjc/s10052-018-6490-9" target="_blank" rel="noopener noreferrer" class="title" data-title="Bjorken polarized sum rule and infraredsafe QCD couplings">Bjorken polarized sum rule and infrared-safe QCD couplings<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Ayala, César; Cvetič, Gorazd; Kotikov, Anatoly V.</li> <li class="mb-0-5 source"> <span class="mr-1">The European Physical Journal C, Vol. 78, Issue 12</span> <span class="text-muted"><a href="https://doi.org/10.1140/epjc/s10052-018-6490-9" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1140/epjc/s10052-018-6490-9<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="journal">journal</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2018-12-01">December 2018</span></td> </tr><tr> <td> <a href="https://doi.org/10.1007/bf03031986" target="_blank" rel="noopener noreferrer" class="title" data-title="The spin structure of the nucleon">The spin structure of the nucleon<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Kabuss, Eva-Maria</li> <li class="mb-0-5 source"> <span class="mr-1">Czechoslovak Journal of Physics, Vol. 55, Issue S1</span> <span class="text-muted"><a href="https://doi.org/10.1007/bf03031986" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1007/bf03031986<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="journal">journal</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2005-01-01">January 2005</span></td> </tr><tr> <td> <a href="https://doi.org/10.1016/0146-6410(94)90048-5" target="_blank" rel="noopener noreferrer" class="title" data-title="The spin structure of the nucleon">The spin structure of the nucleon<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Bass, S. D.; Thomas, A. W.</li> <li class="mb-0-5 source"> <span class="mr-1">Progress in Particle and Nuclear Physics, Vol. 33</span> <span class="text-muted"><a href="https://doi.org/10.1016/0146-6410(94)90048-5" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1016/0146-6410(94)90048-5<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="journal">journal</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="1994-01-01">January 1994</span></td> </tr><tr> <td> <a href="https://doi.org/10.1142/9789814529051" target="_blank" rel="noopener noreferrer" class="title" data-title="The Spin Structure of the Nucleon Proceeding of International School of Nucleon Structure 1st Course">The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Frois, B.; Hughes, V. W.; de Groot, N.</li> <li class="mb-0-5 source"> <span class="mr-1">International School of Nucleon Structure, The Spin Structure of the Nucleon</span> <span class="text-muted"><a href="https://doi.org/10.1142/9789814529051" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1142/9789814529051<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="conference">conference</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2017-04-17">April 2017</span></td> </tr><tr> <td> <a href="https://doi.org/10.48550/arxiv.1712.02263" target="_blank" rel="noopener noreferrer" class="title" data-title="QCDconstrained dynamical spin effects in the pion holographic lightfront wavefunction">QCD-constrained dynamical spin effects in the pion holographic light-front wavefunction<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Ahmady, Mohammad; Chishtie, Farrukh; Sandapen, Ruben</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.1712.02263" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.1712.02263<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2017-01-01">January 2017</span></td> </tr><tr> <td> <a href="https://doi.org/10.48550/arxiv.1801.09154" target="_blank" rel="noopener noreferrer" class="title" data-title="Universality of Generalized Parton Distributions in LightFront Holographic QCD">Universality of Generalized Parton Distributions in Light-Front Holographic QCD<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">de Teramond, Guy F.; Liu, Tianbo; Sufian, Raza Sabbir</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.1801.09154" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.1801.09154<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2018-01-01">January 2018</span></td> </tr><tr> <td> <a href="https://doi.org/10.48550/arxiv.1812.01030" target="_blank" rel="noopener noreferrer" class="title" data-title="Bjorken polarized sum rule and infraredsafe QCD couplings">Bjorken polarized sum rule and infrared-safe QCD couplings<span class="fa fa-external-link" aria-hidden="true"></span></a> <ul class="small references-list mb-0 mt-0" style="list-style-type:none; padding-left: 0; line-height:1.8em;"> <li class="authors">Ayala, Cesar; Cvetic, Gorazd; Kotikov, Anatoly V.</li> <li class="mb-0-5 source"> <span class="mr-1">arXiv</span> <span class="text-muted"><a href="https://doi.org/10.48550/arxiv.1812.01030" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.48550/arxiv.1812.01030<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> </td> <td class="small text-muted biblio-refs-td-secondary"> <span class="biblio-refs-type-badge ml-1 type" data-type="text">text</span> </td> <td class="small text-muted biblio-refs-td-secondary biblio-refs-td-secondary-date"><span class="date" data-date="2018-01-01">January 2018</span></td> </tr></tbody></table> </div> </div> </section> <hr class="mt-2 mb-2"/> <section id="section-similar" class="tab-content-sec osti-curated biblio-section section-scroll" style="scroll-margin-top:110px;"> <div class="row"> <div class="col-8" style="padding-right:40px;"> <h2 class="abstract">Similar Records</h2> <div class="" style="line-height:1.6rem;"> <a href="/biblio/1970452" target="_blank">Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement</a> <div class="small" style="line-height:1.4rem;"> Conference <span style="padding-left: 0.75rem;padding-right: 0.75rem;">·</span> <span style="padding-left: 0.75rem;padding-right: 0.75rem;">·</span> International Journal of Modern Physics: Conference Series <span style="padding-left: 0.75rem;padding-right: 0.75rem;">·</span> <span class="text-muted" style="padding-right:0.5em;">OSTI ID:</span>1379486 </div> <div class="small" style="line-height:1.4rem;"> <span class="author-link"><a href="/search/author:"Brodsky, Stanley J."" class="btn btn-link btn-sm"><span class="author" itemprop="author">Brodsky, Stanley J.; 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Title: Determination of $${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$$ at five loops from holographic QCD

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