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

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)

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

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

OSTI ID:: 1379486

Alternate ID(s):: OSTI ID: 1310025
OSTI ID: 1418322
OSTI ID: 22871532

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

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

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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