Simple analytic QCD model with perturbative QCD behavior at high momenta

Abstract

Analytic QCD models are those where the QCD running coupling has the physically correct analytic behavior, i.e., no Landau singularities in the Euclidean regime. We present a simple analytic QCD model in which the discontinuity function of the running coupling at high momentum scales is the same as in perturbative QCD (just like in the analytic QCD model of Shirkov and Solovtsov), but at low scales it is replaced by a delta function which parametrizes the unknown behavior there. We require that the running coupling agree to a high degree with the perturbative coupling at high energies, which reduces the number of free parameters of the model from four to one. The remaining parameter is fixed by requiring the reproduction of the correct value of the semihadronic tau decay ratio.

18 pages, 4 figures, modified title, added discussions, updated BjPSR data used, added references [20,22-27,28b,29-30,32,35,45-48], numerical results and conclusions unchanged, version to appear in Phys.Rev.D

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• Electron-positron annihilation into hadrons at the higher-loop levels
• Testing the Concept of Quark-Hadron Duality with the ALEPH $\tau$ Decay Data
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Lattice-motivated holomorphic nearly perturbative QCD
• Applying generalized Padé approximants in analytic QCD models
• The absence of QCD $\beta$-function factorization property of the generalized Crewther relation in the 't Hooft $\overline{MS}$-based scheme
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• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Analytical perturbation theory and Nucleon structure function in infrared region
• On the analytically-improved running coupling in QCD
• Heavy top renormalon contribution to fermion propagators