Strong-coupling constant with flavor thresholds at five loops in the anti-MS scheme

Jul, 2006
10 pages
Published in:
  • Phys.Rev.Lett. 97 (2006) 042001
e-Print:
Report number:
  • DESY-06-074

Citations per year

20062011201620212025024681012
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.
  • 12.38.Bx
  • 11.15.Me
  • 11.10.Hi
  • quantum chromodynamics
  • strong interaction: coupling constant
  • threshold: flavor
  • Feynman graph: higher-order
  • renormalization group: beta function
  • renormalization
  • numerical calculations