Exact mass dependent two--loop $\barα_s(Q^2)$ in the background MOM renormalization scheme

Details Exact mass dependent two--loop $\barα_s(Q^2)$ in the background MOM renormalization scheme Exact mass dependent two--loop $\barα_s(Q^2)$ in the background MOM renormalization scheme

1998-09-22

arxiv.org/abs/hep-ph/9809485v2

Nucl.Phys. B549 (1999) 481-498

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0550-3213(99)00141-8

A two-loop calculation of the renormalization group $\beta$--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.

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