FAPT: A Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory

Abstract We provide here all the procedures in Mathematica which are needed for the computation of the analytic images of the strong coupling constant powers in Minkowski (A _ν (s; ^(nf)) and Aνglob(s)) and Euclidean (A _ν ( ^(Q2); ^(nf)) and Aνglob( ^(Q2))) domains at arbitrary energy scales (s and ^(Q2), correspondingly) for both schemes - with fixed number of active flavours ^(nf)=3,4,5,6 and the global one with taking into account all heavy-quark thresholds. These singularity-free coup... Title of program: FAPT Catalogue Id: AENJ_v1_0 Nature of problem The values of analytic images Abar ν (Q 2 ) and Abar ν (s) of the QCD running coupling powers α ν s (Q 2 ) in Euclidean and Minkowski regions, correspondingly, are determined through the spectral representation in the QCD Analytic Perturbation Theory (APT). In the program FAPT we collect all relevant formulas and various procedures which allow for a convenient evaluation of Abar ν (Q 2 ) and Abar ν (s) using numerical integrations of the relevant spectral densities. Versions of this program held in the CPC repository in Mendeley Data AENJ_v1_0; FAPT; 10.1016/j.cpc.2012.08.014 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)