Hadronic Vacuum Polarization for the Muon g-2 from Lattice QCD: Long-Distance and Full Light-Quark Connected Contribution

Alexei Bazavov, Claude Bernard, David Anthony Clarke, Christine Davies, Carleton DeTar, Aida X. El-Khadra, María Elvira Gámiz Sánchez, Steven Gottlieb, Anthony V. Grebe, Leon Hostetler, William Jay, Hwancheol Jeong, Andreas Kronfeld, Shaun Lahert, Jack Laiho, Gerard Lepage, Michael Lynch, Andrew Lytle, Craig McNeile, ETHAN NEILCurtis Peterson, James Simone, Jacob W Sitison, Ruth S. Van de Water, Alejandro Vaquero Avilés-Casco, Craig McNeile

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Abstract

We present results for the dominant light-quark connected contribution to the long-distance window of the hadronic vacuum polarization (HVP) contribution to the muon g-2 from lattice quantum chromodynamics. Specifically, with a new determination of the lattice scale on MILC's physical-mass HISQ ensembles, using the Ω^{-} baryon mass, we obtain a result of a_{μ}^{ll,LD}(conn)=400.2(2.3)_{stat}(3.7)_{syst}[4.3]_{total}×10^{-10}. Summing this result with our recent determinations of the light-quark connected contributions to the short- and intermediate-distance windows, we obtain a subpercent precision determination of the light-quark-connected contribution to HVP of a_{μ}^{ll}(conn)=655.2(2.3)_{stat}(3.9)_{syst}[4.5]_{total}×10^{-10}. Finally, as a consistency check, we verify that an independent analysis of the full contribution is in agreement with the sum of individual windows. We discuss our future plans for improvements of our HVP calculations to meet the target precision of the Fermilab g-2 experiment.

Original languageEnglish
Article number011901
Pages (from-to)11901
Number of pages1
JournalPhysical Review Letters
Volume135
Issue number1
DOIs
Publication statusPublished - 1 Jul 2025

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