English

anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models

High Energy Physics - Phenomenology 2019-04-02 v1

Abstract

We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings Aν(Q2)\mathcal{A}_{\nu}(Q^2) for complex or real squared momenta Q2Q^2. These couplings are holomorphic 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 index ν\nu can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m in Mathematica published by us previously, Ref.[1], but are now written in Fortran.

Keywords

Cite

@article{arxiv.1506.07201,
  title  = {anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models},
  author = {Cesar Ayala and Gorazd Cvetic},
  journal= {arXiv preprint arXiv:1506.07201},
  year   = {2019}
}

Comments

7 pages; the programs can be downloaded from the web page gcvetic.usm.cl

R2 v1 2026-06-22T09:59:02.103Z