/ Math and Math Physics arXiv:1204.2679

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

Bakulev, Alexander P. (Dubna, JINR) ; Khandramai, Vyacheslav L. (Gomel State Tech. U.)

Pages: 23

Abstract: We provide here all the procedures in \texttt{Mathematica} which are needed for the computation of the analytic images of the strong coupling constant powers in Minkowski (${\bar{\mathfrak A}_{\nu}(s/n_f)}$ and ${\mathfrak A_{\nu}^\text{glob}(s)}$) and Euclidean (${\bar{\mathcal A}_{\nu}(Q^2/n_f)}$ and ${\mathcal A_{\nu}^\text{glob}(Q^2)}$) domains at arbitrary energy scales (${s}$ and ${Q^2}$, correspondingly) for both schemes --- with fixed number of active flavours ${n_f=3, 4, 5, 6}$ 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 and its generalization --- Fractional APT, needed to apply the APT imperative for renormalization-group improved hadronic observables.

Keyword(s): Analyticity ; Fractional Analytic Perturbation Theory ; Perturbative QCD ; Renormalization group evolution

Note: 23 pages, 6 figures. Eqs. (10a) and (10b) corrected/ clarifications about 'Bar' notations at the beginning of Sect. 3 added

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Запись создана 2012-05-22, последняя модификация 2014-01-30

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