Mathematica and Fortran programs for various analytic QCD couplings

We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling $A(Q^2)$ has no Landau singularities. The analytic (holomorphic) coupling $A(Q^2)$ is the analog of the underlying pQCD coupling $a(Q^2) \equiv α_s(Q^2)/π$, and any such $A(Q^2)$ defines an analytic QCD model. We present the general construction procedure for the couplings $A_ν(Q^2)$ which are analytic analogs of the powers $a(Q^2)^ν$. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of $A_ν(Q^2)$ in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

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