AnQCD: A Mathematica package for calculations in general analytic QCD models

César Ayala; Gorazd Cvetič

doi:10.1016/j.cpc.2014.12.024

AnQCD: A Mathematica package for calculations in general analytic QCD models

César Ayala
, Gorazd Cvetič

Universidad Técnica Federico Santa Maria

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

32 Scopus citations

Abstract

We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) A_ν(Q₂), which are analytic analogs of the powers a(Q²)ν of the underlying perturbative QCD (pQCD) coupling a(Q₂)≡α^s(Q₂)π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δanQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings A_ν(Q₂), in contrast to the corresponding pQCD expressions a(Q²)^ν, reflect correctly the analytic properties of the spacelike observables D(Q₂) in the complex Q₂ 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 |Q₂|∼1GeV².

Original language	English
Pages (from-to)	182-199
Number of pages	18
Journal	Computer Physics Communications
Volume	190
DOIs	https://doi.org/10.1016/j.cpc.2014.12.024
State	Published - 1 May 2015
Externally published	Yes

Keywords

Analytic (holomorphic) QCD coupling
Fractional Analytic Perturbation Theory
Massive Perturbation Theory
Two-delta analytic QCD model

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10.1016/j.cpc.2014.12.024

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title = "AnQCD: A Mathematica package for calculations in general analytic QCD models",

abstract = "We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν(Q2), which are analytic 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 analytic (holomorphic) running couplings Aν(Q2), in contrast to the corresponding pQCD expressions a(Q2)ν, reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 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 |Q2|∼1GeV2.",

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doi = "10.1016/j.cpc.2014.12.024",

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T2 - A Mathematica package for calculations in general analytic QCD models

AU - Ayala, César

AU - Cvetič, Gorazd

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N2 - We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν(Q2), which are analytic 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 analytic (holomorphic) running couplings Aν(Q2), in contrast to the corresponding pQCD expressions a(Q2)ν, reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 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 |Q2|∼1GeV2.

AB - We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν(Q2), which are analytic 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 analytic (holomorphic) running couplings Aν(Q2), in contrast to the corresponding pQCD expressions a(Q2)ν, reflect correctly the analytic properties of the spacelike observables D(Q2) in the complex Q2 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 |Q2|∼1GeV2.

KW - Analytic (holomorphic) QCD coupling

KW - Fractional Analytic Perturbation Theory

KW - Massive Perturbation Theory

KW - Two-delta analytic QCD model

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DO - 10.1016/j.cpc.2014.12.024

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VL - 190

SP - 182

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JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

AnQCD: A Mathematica package for calculations in general analytic QCD models

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Keywords

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