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 ${\mathcal{A}}_{\nu }(Q^2)$ for complex or real squared momenta $Q^2$. These couplings are holomorphic analogs of the powers $a(Q^2{)}^{\nu }$ of the underlying perturbative QCD (pQCD) coupling $a(Q^2)\equiv {\alpha }_s(Q^2)/\pi$, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2$\delta$anQCD), and Massive Perturbation Theory (MPT). The index $\nu$ 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.

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

References in corpus (8)

• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• anQCD: a Mathematica package for calculations in general analytic QCD models
• QCDMAPT_F: Fortran version of QCDMAPT package
• On the low-energy behavior of the Adler function
• How to perform QCD analysis of DIS in Analytic Perturbation Theory
• Adler function in the analytic approach to QCD

Cited by in corpus (10)

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• Lattice-motivated holomorphic nearly perturbative QCD
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?