On applications of Mathematica Package "FAPT" in QCD
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 ${\cal A}_ν(Q^2),{\mathfrak A}_ν(s)$ appear in these approaches as analytic images of the standard QCD coupling powers $α_s^ν(Q^2)$ in the Euclidean and Minkowski domains, respectively. We provide a package "FAPT" based on the system Mathematica for QCD calculations of the images ${\mathcal A}_ν(Q^2)$, ${\mathfrak A}_ν(s)$ up to N$^3$LO of renormalization group evolution. Application of these approaches to Bjorken sum rule analysis and $Q^2$-evolution of higher twist $μ_4^{p-n}$ is considered.
hep-ph↗