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anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models
Gorazd CvetičCesar Ayalasubject
PhysicsQuantum chromodynamicsParticle physicsChiral perturbation theory010308 nuclear & particles physicsHolomorphic functionGeneral Physics and AstronomyPerturbative QCDFOS: Physical sciences01 natural sciencesRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Hardware and Architecture0103 physical sciencesHigh Energy Physics::ExperimentPerturbation theory (quantum mechanics)Invariant (mathematics)010306 general physicsComplex planeMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-06-23 |