English

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

High Energy Physics - Phenomenology 2015-03-04 v3

Abstract

We provide a Mathematica package that evaluates the QCD analytic couplings (in the Euclidean domain) Aν(Q2)\mathcal{A}_{\nu}(Q^2), which are analytic analogs of the powers a(Q2)νa(Q^2)^{\nu} of the underlying perturbative QCD (pQCD) coupling a(Q2)αs(Q2)/πa(Q^2) \equiv \alpha_s(Q^2)/\pi, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δ\deltaanQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings Aν(Q2)\mathcal{A}_{\nu}(Q^2), in contrast to the corresponding pQCD expressions a(Q2)νa(Q^2)^{\nu}, reflect correctly the analytic properties of the spacelike observables D(Q2){\cal D}(Q^2) in the complex Q2Q^2 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 Q21 GeV2|Q^2| \sim 1 \ {\rm GeV}^2.

Keywords

Cite

@article{arxiv.1408.6868,
  title  = {anQCD: a Mathematica package for calculations in general analytic QCD models},
  author = {Cesar Ayala and Gorazd Cvetic},
  journal= {arXiv preprint arXiv:1408.6868},
  year   = {2015}
}

Comments

v3: 35 pp., 7 figs.; improved programs which work in Mathematica 9 and 10; improved presentation of the text (Sec.2 shorter, Sec.4 enlarged); to appear in Computer Physics Communications

R2 v1 2026-06-22T05:43:26.688Z