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Manuscript Title: anQCD: a Mathematica package for calculations in general analytic QCD models
Authors: César Ayala, Gorazd Cvetic
Program title: anQCD
Catalogue identifier: AEVK_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 190(2015)182
Programming language: Mathematica versions 9.0.1 and 10.0.1.
Computer: Any work-station or PC where Mathematica is running.
Operating system: Linux and Mac OS X, software Mathematica 9.0.1 and Mathematica 10.0.1.
Keywords: Analyticity, Fractional Analytic Perturbation Theory, Two-delta analytic QCD model, Massive Perturbation Theory, Perturbative QCD, Renormalization group evolution.
PACS: 12.38.Bx, 11.15.Bt, 11.10.Hi, 11.55.Fv.
Classification: 11.1, 11.5.

Nature of problem:
Evaluation of the values for analytic couplings Aυ(Q2;Nf) in analytic QCD [the analytic analog of the power s(Q2;Nf)/π)υ] based on the dispersion relation; Aυ represents a physical (holomorphic) function in the plane of complex squared momenta -q2 ≡ Q2. In anQCD.m we collect the formulas for three different analytic models depending on the energy scale, Q2, number of flavors Nf, the QCD scale ΛNf, and the (nonpower) index υ. The considered models are: Analytic Perturbation theory (APT), Two-delta analytic QCD (2δanQCD) and Massive Perturbation Theory (MPT).

Solution method:
anQCD uses Mathematica functions to perform numerical integration of spectral function for each analytic model, in order to obtain the corresponding analytic images Aυ(Q2) via dispersion relation.

It could be that for an unphysical choice of the input parameters the results are meaningless.

Running time:
For all operations the running time does not exceed a few seconds.