Mathematica and Fortran programs for various analytic QCD couplings

Abstract

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.

7 pages, 2 figures; uses JPConf style; based on the presentation given by G.C. at the 16th International workshop on Advanced Computing and Analysis Techniques in physics research (ACAT 2014), Prague, Czech Republic, September 1-5, 2014; to appear in the proceedings by the IOP Conference Series publishing