Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme

Abstract

We present in analytic form the matching conditions for the strong-coupling constant alpha_s^(n_f)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta_4 of the Callan-Symanzik beta function of quantum chromo-dynamics, we thus derive a five-loop formula for alpha_s^(n_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n_f) for different numbers of flavors n_f.

10 pages, 2 figures, to appear in Phys. Rev. Lett

Cited by in corpus (10)

• Updated Values of Running Quark and Lepton Masses
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Low energy moments of heavy quark current correlators at four loops
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Decoupling of heavy quarks in HQET
• The Landau Pole and $Z^{\prime }$ decays in the 331 bilepton model
• Standard and epsilon-finite Master Integrals for the rho-Parameter
• New Results in Four and Five Loop QED calculations
• Heavy-quark pair production in polarized photon-photon collisions at next-to-leading order: Fully integrated total cross sections