Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2

Abstract

A variant of QCD with the coupling suppressed in the infrared (IR) regime, as suggested by large-volume lattice calculations of the Landau gauge gluon and ghost dressing functions, is considered. The coupling is further restricted by the condition of approximate coincidence with perturbative QCD in the high momentum regime, and by the τ-lepton semihadronic decay rate in the intermediate momentum regime, the rate which is evaluated by a renormalon-motivated resummation method. The obtained coupling turns out to be free of Landau singularities. The D = 4, 6 condensate values of the Adler function are then extracted by application of the Borel sum rules to the OPAL and ALEPH (V + A)-channel data of τ-decay, and the corresponding V-channel condensate values are deduced as well. We then show that the correct value of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, , is reproduced by regularizing the D = 4, 6 OPE terms in the V-channel Adler function with IR-regularization masses , suggesting the internal consistency of the presented QCD framework.