Mathematica and Fortran programs for various analytic QCD couplings

César Ayala; Gorazd Cvetič

doi:10.1088/1742-6596/608/1/012064

Mathematica and Fortran programs for various analytic QCD couplings

César Ayala
, Gorazd Cvetič

Universidad Técnica Federico Santa Maria

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q²) has no Landau singularities. The analytic (holomorphic) coupling A(Q²) is the analog of the underlying pQCD coupling a(Q²) = α_s(Q²)/π, and any such A(Q²) defines an analytic QCD model. We present the general construction procedure for the couplings A_v (Q²) which are analytic analogs of the powers a(Q²)^v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of A_v (Q²) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

Original language	English
Article number	012064
Journal	Journal of Physics: Conference Series
Volume	608
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/608/1/012064
State	Published - 22 May 2015
Externally published	Yes
Event	16th International Workshop on Advanced Computing and Analysis Techniques in Physics Research: Bridging Disciplines, ACAT 2014 - Prague, Czech Republic Duration: 1 Sep 2014 → 5 Sep 2014

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title = "Mathematica and Fortran programs for various analytic QCD couplings",

abstract = "We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q2) has no Landau singularities. The analytic (holomorphic) coupling A(Q2) is the analog of the underlying pQCD coupling a(Q2) = αs(Q2)/π, and any such A(Q2) defines an analytic QCD model. We present the general construction procedure for the couplings Av (Q2) which are analytic analogs of the powers a(Q2)v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of Av (Q2) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.",

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T1 - Mathematica and Fortran programs for various analytic QCD couplings

AU - Ayala, César

AU - Cvetič, Gorazd

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2015/5/22

Y1 - 2015/5/22

N2 - We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q2) has no Landau singularities. The analytic (holomorphic) coupling A(Q2) is the analog of the underlying pQCD coupling a(Q2) = αs(Q2)/π, and any such A(Q2) defines an analytic QCD model. We present the general construction procedure for the couplings Av (Q2) which are analytic analogs of the powers a(Q2)v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of Av (Q2) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

AB - We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q2) has no Landau singularities. The analytic (holomorphic) coupling A(Q2) is the analog of the underlying pQCD coupling a(Q2) = αs(Q2)/π, and any such A(Q2) defines an analytic QCD model. We present the general construction procedure for the couplings Av (Q2) which are analytic analogs of the powers a(Q2)v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of Av (Q2) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

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DO - 10.1088/1742-6596/608/1/012064

M3 - Conference article

AN - SCOPUS:84937497084

SN - 1742-6588

VL - 608

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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T2 - 16th International Workshop on Advanced Computing and Analysis Techniques in Physics Research: Bridging Disciplines, ACAT 2014

Y2 - 1 September 2014 through 5 September 2014

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Mathematica and Fortran programs for various analytic QCD couplings

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