English

Exact mass dependent two--loop $\bar{\alpha}_s(Q^2)$ in the background MOM renormalization scheme

High Energy Physics - Phenomenology 2009-10-31 v2

Abstract

A two-loop calculation of the renormalization group β\beta--function in a momentum subtraction scheme with massive quarks is presented using the background field formalism. The results have been obtained by using a set of new generalized recurrence relations proposed recently by one of the authors (O.V.T.). The behavior of the mass dependent effective coupling constant is investigated in detail. Compact analytic results are presented.

Keywords

Cite

@article{arxiv.hep-ph/9809485,
  title  = {Exact mass dependent two--loop $\bar{\alpha}_s(Q^2)$ in the background MOM renormalization scheme},
  author = {F. Jegerlehner and O. V. Tarasov},
  journal= {arXiv preprint arXiv:hep-ph/9809485},
  year   = {2009}
}

Comments

20 pages, 5 figures, LaTeX, uses axodraw.sty, revised version, Sec. 5 (numerical results) changed (quark masses were not set properly) and enhanced

R2 v1 2026-07-22T14:46:24.880Z