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

César Ayala; Gorazd Cvetič

doi:10.1016/j.cpc.2015.10.004

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

César Ayala
, Gorazd Cvetič

University of Valencia
Universidad Técnica Federico Santa Maria

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings _Aν(^Q2) for complex or real squared momenta ^Q2. These couplings are holomorphic 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 index ν can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m published by us previously (Ayala and Cvetič, 2015), but are now written in Fortran.

Original language	English
Pages (from-to)	114-117
Number of pages	4
Journal	Computer Physics Communications
Volume	199
DOIs	https://doi.org/10.1016/j.cpc.2015.10.004
State	Published - 2016
Externally published	Yes

Keywords

Analytic (holomorphic) QCD coupling
Fractional Analytic Perturbation Theory
Massive Perturbation Theory
Perturbative QCD
Renormalization group evolution
Two-delta analytic QCD model

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10.1016/j.cpc.2015.10.004

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@article{eb24ac6c2f614900ac6cd2534ca4c220,

title = "AnQCD: Fortran programs for couplings at complex momenta in various analytic QCD models",

abstract = "We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings Aν(Q2) for complex or real squared momenta Q2. These couplings are holomorphic 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 index ν can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m published by us previously (Ayala and Cveti{\v c}, 2015), but are now written in Fortran.",

keywords = "Analytic (holomorphic) QCD coupling, Fractional Analytic Perturbation Theory, Massive Perturbation Theory, Perturbative QCD, Renormalization group evolution, Two-delta analytic QCD model",

author = "C{\'e}sar Ayala and Gorazd Cveti{\v c}",

year = "2016",

doi = "10.1016/j.cpc.2015.10.004",

language = "English",

volume = "199",

pages = "114--117",

journal = "Computer Physics Communications",

issn = "0010-4655",

}

TY - JOUR

T1 - AnQCD

T2 - Fortran programs for couplings at complex momenta in various analytic QCD models

AU - Ayala, César

AU - Cvetič, Gorazd

PY - 2016

Y1 - 2016

N2 - We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings Aν(Q2) for complex or real squared momenta Q2. These couplings are holomorphic 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 index ν can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m published by us previously (Ayala and Cvetič, 2015), but are now written in Fortran.

AB - We provide three Fortran programs which evaluate the QCD analytic (holomorphic) couplings Aν(Q2) for complex or real squared momenta Q2. These couplings are holomorphic 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 index ν can be noninteger. The provided programs do basically the same job as the Mathematica package anQCD.m published by us previously (Ayala and Cvetič, 2015), but are now written in Fortran.

KW - Analytic (holomorphic) QCD coupling

KW - Fractional Analytic Perturbation Theory

KW - Massive Perturbation Theory

KW - Perturbative QCD

KW - Renormalization group evolution

KW - Two-delta analytic QCD model

UR - https://www.scopus.com/pages/publications/84962248371

U2 - 10.1016/j.cpc.2015.10.004

DO - 10.1016/j.cpc.2015.10.004

M3 - Article

AN - SCOPUS:84962248371

SN - 0010-4655

VL - 199

SP - 114

EP - 117

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

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

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Keywords

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