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anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models. (English) Zbl 1344.81008
Summary: We provide three programs which evaluate the QCD analytic (holomorphic) couplings $$\mathcal{A}_\nu(Q^2)$$ for complex or real squared momenta $$Q^2$$. These couplings are holomorphic analogs of the powers $$a(Q^2)^\nu$$ of the underlying perturbative QCD (pQCD) coupling $$a(Q^2) \equiv \alpha_s(Q^2) / \pi$$, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2$$\delta$$anQCD), and Massive Perturbation Theory (MPT). The index $$\nu$$ can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m published by us previously [“anQCD: a mathematica package for calculations in general analytic QCD models”, Comput. Phys. Commun. 190, 182–199 (2015; doi:10.1016/j.cpc.2014.12.024)], but are now written in Fortran.
##### MSC:
 81-04 Software, source code, etc. for problems pertaining to quantum theory 81V05 Strong interaction, including quantum chromodynamics 81T15 Perturbative methods of renormalization applied to problems in quantum field theory
##### Software:
QCDMAPTF; anQCD; QCDMAPT; Mathematica; VEGAS; QCDMAPT_F; FAPT; DPSIFN
Full Text:
##### References:
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