Lattice-motivated QCD coupling and hadronic contribution to muon g-2

We present an updated version of a QCD coupling which fulfills various physically motivated conditions: at high momenta it practically coincides with the perturbative QCD coupling; at intermediate momenta it reproduces correctly the physics of the semihadronic tau decay; and at very low momenta it is suppressed as suggested by large-volume lattice calculations. An earlier presented analysis is updated here in the sense that the Adler function, in the regime vertical bar Q(2)vertical bar less than or similar to 1 GeV2, is evaluated by a renormalon-motivated resummation method. This Adler function is then used here in the evaluation of the quantities related with the semihadronic (strangeless) tau-decay spectral functions, including Borel-Laplace sum rules in the (V + A)-channel. The analysis is then extended to the evaluation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a(mu)(had(1)), where we include in the Adler function the V-channel higher-twist OPE terms which are regulated in the infrared (IR) by mass parameters which are expected to be less than or similar to 1 GeV. The correct value of a(mu)(had(1)) can be reproduced with the mentioned IR-regulating mass parameters if the value of the condensate < O-4 >(V+A) is positive (and thus the gluon condensate value is positive). This restriction and the requirement of the acceptable quality of the fits to the various mentioned sum rules then lead us to the restriction 0.1171 < alpha(s)( M-Z(2); (MS) over bar) < 0.1180.

Automated summary

We present an updated version of a QCD coupling that satisfies various physical conditions, from high momenta to low momenta, and apply it to the analysis of semihadronic tau decay and muon anomalous magnetic moment. By evaluating the Adler function and regulating V-channel higher-twist OPE terms, we achieve a correct value a(mu)(had(1)). This analysis leads to a restriction on the value of the QCD coupling constant alpha(s)( M-Z(2); (MS) over bar) between 0.1171 and 0.1180, ensuring acceptable fit quality to various sum rules.