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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Cited by in corpus (27)

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• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Operator Product Expansion with analytic QCD in tau decay physics
• Hadronic vacuum polarization function within dispersive approach to QCD
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Renormalon-motivated evaluation of QCD observables
• Electron-positron annihilation into hadrons at the higher-loop levels
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Applying generalized Padé approximants in analytic QCD models
• Lattice-motivated holomorphic nearly perturbative QCD
• anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models
• The absence of QCD $\beta$-function factorization property of the generalized Crewther relation in the 't Hooft $\overline{MS}$-based scheme
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• 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
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• 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