Abstract
We consider computational problems in the framework of nonpower Analityc Perturbation Theory and Fractional Analytic Perturbation Theory that are the generalization of the standard QCD perturbation theory. The singularity-free, finite couplings appear in these approaches as analytic images of the standard QCD coupling powers αvs(Q2) in the Euclidean and Minkowski domains, respectively. We provide a package "FAPT" based on the system Mathematica for QCD calculations of the images up to N3LO of renormalization group evolution. Application of these approaches to Bjorken sum rule analysis and Q2-evolution of higher twist μp−n4 is considered.
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