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) u p t o 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.