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FAPT: A Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory

Alexander P. Bakulev
Vyacheslav L. Khandramaia
Journal / Anthology

Computer Physics Communications
Year: 2013
Volume: 184
Page range: 183-193

We provide here all the procedures in Mathematica which are needed for the computation of the analytic images of the strong coupling constant powers in Minkowski (ŻAν (s; nf ) and Aglob ν (s)) and Euclidean ( ŻAν (Q2; nf ) and Aglob ν (Q2)) domains at arbitrary energy scales (s and Q2, correspondingly) for both schemes — with fixed number of active flavours nf = 3, 4, 5, 6 and the global one with taking into account all heavy-quark thresholds. These singularity-free couplings are inevitable elements of Analytic Perturbation Theory (APT) in QCD, proposed in [10,69,70], and its generalization — Fractional APT, suggested in [42,46,43], needed to apply the APT imperative for renormalization-group improved hadronic observables.

*Science > Physics

Analyticity, Fractional Analytic Perturbation Theory, Perturbative QCD, Renormalization group evolution