On applications of Mathematica Package "FAPT" in QCD

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 ${\mathcal{A}}_{\nu }(Q^2),{\mathfrak{A}}_{\nu }(s)$ appear in these approaches as analytic images of the standard QCD coupling powers ${\alpha }_s^{\nu }(Q^2)$ in the Euclidean and Minkowski domains, respectively. We provide a package "FAPT" based on the system Mathematica for QCD calculations of the images ${\mathcal{A}}_{\nu }(Q^2)$, ${\mathfrak{A}}_{\nu }(s)$ 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 ${\mu }_4^{p-n}$ is considered.

Contribution to the 15th International Workshop on advanced computing and analysis techniques (ACAT 2013), 16-21 May, Beijing, China. 8 pages, 4 figures and 2 tables

References in corpus (10)

• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• The Theory of Deeply Inelastic Scattering
• Ten years of the Analytic Perturbation Theory in QCD
• Bound state approach to the QCD coupling at low energy scales
• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Bjorken Sum Rule and pQCD frontier on the move
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• QCDMAPT_F: Fortran version of QCDMAPT package

Cited by in corpus (2)

• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region