Exponentially Modified QCD Coupling

Abstract

We present a specific class of models for an infrared-finite analytic QCD coupling, such that at large space-like energy scales the coupling differs from the perturbative one by less than any inverse power of the energy scale. This condition is motivated by the ITEP Operator Product Expansion philosophy. Allowed by the ambiguity in the analytization of the perturbative coupling, the proposed class of couplings has three parameters. In the intermediate energy region, the proposed coupling has low loop-level and renormalization scheme dependence. The present modification of perturbative QCD must be considered as a phenomenological attempt, with the aim of enlarging the applicability range of the theory of the strong interactions at low energies.

two references added

References in corpus (27)

• Renormalons
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• On the running coupling constant in QCD
• Analytic Perturbation Theory in analyzing some QCD observables
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Analytic Perturbation Theory and Inclusive Tau Decay
• Quark-antiquark potential in the analytic approach to QCD
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• The massive analytic invariant charge in QCD
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• New analytic running coupling in spacelike and timelike regions
• Disentangling running coupling and conformal effects in QCD
• An approach for evaluation of observables in analytic versions of QCD
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Renormalization Scheme and Higher Loop Stability in Hadronic $\tau$ Decay within Analytic Perturbation Theory
• Power corrections and resummation of radiative corrections in the single dressed gluon approximation - the average thrust as a case study
• Optimized Lambda-Parametrization for the QCD Running Coupling Constant in Spacelike and Timelike Regions
• Synthetic Running Coupling of QCD
• A novel series solution to the renormalization group equation in QCD
• Infrared Freezing of Euclidean QCD observables
• Comment on "Infrared freezing of Euclidean QCD observables"
• Method for comparing finite temperature field theory results with lattice data

Cited by in corpus (4)

• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• QCDMAPT: program package for Analytic approach to QCD
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Analytic QCD coupling with no power terms in UV regime