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arxiv: hep-ph/9809485 · v2 · submitted 1998-09-22 · ✦ hep-ph

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Exact mass dependent two--loop bar{α}_s(Q²) in the background MOM renormalization scheme

F. Jegerlehner , O.V. Tarasov
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classification ✦ hep-ph
keywords backgrounddependentmasspresentedrenormalizationresultsschemealpha
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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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  1. Smooth Threshold Effects from Dimensional Regularization

    hep-th 2026-04 unverdicted novelty 4.0

    A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.