English

Mathematica and Fortran programs for various analytic QCD couplings

High Energy Physics - Phenomenology 2014-11-07 v1

Abstract

We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q2)A(Q^2) has no Landau singularities. The analytic (holomorphic) coupling A(Q2)A(Q^2) is the analog of the underlying pQCD coupling a(Q2)αs(Q2)/πa(Q^2) \equiv \alpha_s(Q^2)/\pi, and any such A(Q2)A(Q^2) defines an analytic QCD model. We present the general construction procedure for the couplings Aν(Q2)A_{\nu}(Q^2) which are analytic analogs of the powers a(Q2)νa(Q^2)^{\nu}. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of Aν(Q2)A_{\nu}(Q^2) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

Keywords

Cite

@article{arxiv.1411.1581,
  title  = {Mathematica and Fortran programs for various analytic QCD couplings},
  author = {Cesar Ayala and Gorazd Cvetic},
  journal= {arXiv preprint arXiv:1411.1581},
  year   = {2014}
}

Comments

7 pages, 2 figures; uses JPConf style; based on the presentation given by G.C. at the 16th International workshop on Advanced Computing and Analysis Techniques in physics research (ACAT 2014), Prague, Czech Republic, September 1-5, 2014; to appear in the proceedings by the IOP Conference Series publishing

R2 v1 2026-06-22T06:49:52.131Z