Low-energy QCD Calculations with Package "FAPT"

Abstract

We consider computational problems in the framework of non­ power Analityc Perturbation Theory and Fractional Analytic Per­turbation Theory that are the generalization of the standard QCD perturbation theory. The singularity-free, finite couplings Av(Q2), v ( s) appear in these approaches as analytic images of the standard QCD coupling powers avs(Q2) in the Euclidean and Minkowski do­mains, respectively. We provide a package "FAPT" based on the system Mathematica for QCD calculations of the images Av(Q2), v(s) up to N3LO of renormalization group evolution. Application of these approaches to Bjorken sum rule analysis and Q2 -evolution of higher twist µ p-n is considered.