anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models

Abstract

We provide three Fortran 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 in Mathematica published by us previously, Ref.[1], but are now written in Fortran.

Comments: 7 pages; the programs can be downloaded from the web page gcvetic.usm.cl