anQCD: A Mathematica package for calculations in general analytic QCD models

Published: 01-01-2015| Version 1 | DOI: 10.17632/khfp6r243c.1
César Ayala,
Gorazd Cvetic


Abstract We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) A_ν (Q_2 ), which are analytic analogs of the powers a(Q^2 )ν of the underlying perturbative QCD (pQCD) coupling a(Q_2 )≡α^s (Q_2 )π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δanQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings A_ν (Q_2 ), in contrast to the corresponding pQCD expression... Title of program: <b>anQCD</b> Catalogue Id: AEVK_v1_0 Nature of problem Evaluation of the values for analytic couplings A υ (Q 2 ;N f ) in analytic QCD [the analytic analog of the power (α s (Q 2 ;N f )/π) υ ] based on the dispersion relation; A υ represents a physical (holomorphic) function in the plane of complex squared momenta -q 2 === Q 2 . In anQCD.m we collect the formulas for three different analytic models depending on the energy scale, Q 2 , number of flavors N f , the QCD scale λ N f , and the (nonpower) index υ. The considered models are: Analytic Pertur ... Versions of this program held in the CPC repository in Mendeley Data AEVK_v1_0; <b>anQCD</b>; 10.1016/j.cpc.2014.12.024 AEVK_v1_0; <b>anQCD</b>; 10.1016/j.cpc.2014.12.024 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)