Light quark vacuum polarization at the physical point and contribution to the muon g-2

Abstract

We report on the computation of the connected light-quark vacuum polarization with 2+1+1 flavors of highly improved staggered quarks [Follana et al., Phys. Rev. D 75, 054502 (2007).PRVDAQ2470-001010.1103/PhysRevD.75.054502] fermions at the physical point and its contribution to the muon anomalous magnetic moment. Three ensembles, generated by the MILC collaboration, are used to take the continuum limit. The finite-volume correction to this result is computed in the (Euclidean) time-momentum representation to next-to-next-to-leading order (NNLO) in chiral perturbation theory. We find aμll(HVP)=(659±20±5±5±4)×10-10, where the errors are statistical and estimates of residual uncertainties from taking the continuum limit, scale setting, and truncation of chiral perturbation theory at NNLO. We compare our results with recent ones in the literature.