Paper

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

Gottlieb, Steven, Jay, William I, McNeile, Craig, Jeong, Hwancheol, Davies, Christine, Ruth S Van de Water, Peterson, Curtis T, DeTar, Carleton, Lepage, G Peter, Lytle, Andrew T, Lahert, Shaun, Sitison, Jacob W, Lynch, Michael, Neil, Ethan T, Clarke, David A, Gámiz, Elvira, Simone, James N, Vaquero, Alejandro, El-Khadra, Aida X, Hostetler, Leon, Grebe, Anthony V, Bazavov, Alexei, Laiho, Jack, Kronfeld, Andreas S

2024

Overview

We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment \\(a_\\mu\\) in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP contribution to \\(a_\\mu\\), 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 \\(a^{ll,\\,{\\mathrm{SD}}}_{\\mu}(\\mathrm{conn.}) = 48.116(16)(94)[96] \\times 10^{-10}\\) and \\(a^{ll,\\,{\\mathrm{W}}}_{\\mu}(\\mathrm{conn.}) = 207.06(17)(63)[66] \\times 10^{-10}\\). We use Bayesian model averaging combined with a global bootstrap to fully estimate the covariance matrix between the individual contributions. Our determinations of the complete window contributions are \\(a^{{\\mathrm{SD}}}_{\\mu} = 69.01(2)(21)[21] \\times 10^{-10}\\) and \\(a^{{\\mathrm{W}}}_{\\mu} = 236.57(20)(94)[96] \\times 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.

• Publisher: Cornell University Library, arXiv.org
• Subject: Covariance matrix / Magnetic moments / Muons / Polarization / Quantum chromodynamics / Quarks