TY - JOUR

T1 - AnQCD: A Mathematica package for calculations in general analytic QCD models

AU - Ayala, César

AU - Cvetič, Gorazd

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2015 Elsevier B.V. All rights reserved. We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν(Q2), which are analytic analogs of the powers a(Q2)ν of the underlying perturbative QCD (pQCD) coupling a(Q2)≡αs(Q2)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 Aν(Q2), in contrast to the corresponding pQCD expressions a(Q2)ν, reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 plane as dictated by the general principles of quantum field theory. They are thus more suited for evaluations of such physical quantities, especially at low momenta |Q2|∼1GeV2.

AB - © 2015 Elsevier B.V. All rights reserved. We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν(Q2), which are analytic analogs of the powers a(Q2)ν of the underlying perturbative QCD (pQCD) coupling a(Q2)≡αs(Q2)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 Aν(Q2), in contrast to the corresponding pQCD expressions a(Q2)ν, reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 plane as dictated by the general principles of quantum field theory. They are thus more suited for evaluations of such physical quantities, especially at low momenta |Q2|∼1GeV2.

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U2 - 10.1016/j.cpc.2014.12.024

DO - 10.1016/j.cpc.2014.12.024

M3 - Article

SP - 182

EP - 199

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

ER -