Hadronic vacuum polarization for the muon g-2 from lattice QCD: Complete short and intermediate windows

We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment aμ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP contribution to aμ, respectively. In particular, we perform lattice-QCD calculations for the isospin-symmetric connected and disconnected contributions, as well as corrections due to strong-isospin breaking. For the short-distance window observables, we investigate the so-called log-enhancement effects as well as the significant oscillations associated with staggered quarks in this region. For the dominant, isospin-symmetric light-quark-connected contribution, we obtain aμll,SD(conn)=48.139(11)stat(91)syst[92]total×10-10 and aμll,W(conn)=206.90(14)stat(61)syst[63]total×10-10. We use Bayesian model averaging to fully estimate the covariance matrix between the individual contributions. Our determinations of the complete window contributions are aμSD=69.05(1)stat(21)syst[21]total×10-10 and aμW=236.45(17)stat(83)syst[85]total×10-10. This work is part of our ongoing effort to compute all contributions to HVP with an overall uncertainty at the few-permille level.