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anQCD: A Mathematica package for calculations in general analytic QCD models

C. Ayala
Gorazd Cvetič
Journal / Anthology

Computer Physics Communications
Year: 2015
Volume: 190
Page range: 182-199

We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν (Q2), which are analytic analogs of the powers a(Q2)ν of the underlying perturbative QCD (pQCD) coupling a(Q2) ≡ αs(Q2)/π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δanQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings Aν (Q2), in contrast to the corresponding pQCD expressions a(Q2)ν , reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 plane as dictated by the general principles of quantum field theory. They are thus more suited for evaluations of such physical quantities, especially at low momenta |Q2| ∼ 1 GeV2.

*Science > Physics