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 $\tau$-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 $\tau$-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, $a_{\mu }^{\mathrm{had}(1)}$, is reproduced by regularizing the $D=4,6$ OPE terms in the V-channel Adler function with IR-regularization masses ${\mathcal{M}}_{D/2}\lesssim 1\mathrm{GeV}$, suggesting the internal consistency of the presented QCD framework.

14 pages, 5 Figures, published in J.Phys.G

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• Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form