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

Here, the recent determination of the $$\beta$$--function of the QCD running coupling $$\alpha_{\overline{MS}}(Q^2)$$ to five-loops, 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. Lastly, 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
  3. Universidad de Costa Rica, San Jose (Costa Rica)
Publication Date:
Report Number(s):
JLAB-PHY-16-2312; DOE/OR/23177-3913; arXiv:1608.04933
Journal ID: ISSN 0954-3899
Grant/Contract Number:
AC05-06OR23177; AC02-76SF00515
Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 44; Journal Issue: 10; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; strong interaction; QCD; nonperturbative; strong coupling
OSTI Identifier:
1379486
Alternate Identifier(s):
OSTI ID: 1418322

Deur, Alexandre, Brodsky, Stanley J., and de Téramond, Guy F.. Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD. United States: N. p., Web. doi:10.1088/1361-6471/aa888a.
Deur, Alexandre, Brodsky, Stanley J., & de Téramond, Guy F.. Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD. United States. doi:10.1088/1361-6471/aa888a.
Deur, Alexandre, Brodsky, Stanley J., and de Téramond, Guy F.. 2017. "Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD". United States. doi:10.1088/1361-6471/aa888a. https://www.osti.gov/servlets/purl/1379486.
@article{osti_1379486,
title = {Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD},
author = {Deur, Alexandre and Brodsky, Stanley J. and de Téramond, Guy F.},
abstractNote = {Here, the recent determination of the $\beta$--function of the QCD running coupling $\alpha_{\overline{MS}}(Q^2)$ to five-loops, 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. Lastly, 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.},
doi = {10.1088/1361-6471/aa888a},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 10,
volume = 44,
place = {United States},
year = {2017},
month = {8}
}