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

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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 l l , 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 l l ( 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.
Funding Information
  • U.S. Department of Energy (DE-SC0010005, DE-SC0010120, DE-SC0015655, DE-SC0009998, DE-SC0024053, DE-AC02-07CH11359)
  • National Nuclear Security Administration
  • National Science Foundation (PHY20-13064, PHY23-10571, PHY23-09946, 2139536, PHY-2309135)
  • Simons Foundation
  • Agencia Estatal de Investigación (RYC2020-030244-I)
  • European Regional Development Fund (PID2022-140440NB-C21)
  • Ministerio de Ciencia, Innovación y Universidades
  • European Commission (AST22 8.4)
  • Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España
  • Science and Technology Facilities Council (ST/T000945/1)
  • Eidgenössische Technische Hochschule Zürich
  • Kavli Institute for Theoretical Physics, University of California, Santa Barbara
  • Indiana University
  • University of Colorado Boulder
  • Colorado State University
  • State of Illinois
  • High Energy Physics
  • Universities Research Association
  • Ministerio de Ciencia e Innovación
  • NextGenerationEU
  • ETH Zürich Foundation
  • Pauli Center for Theoretical Studies
  • Consejería de Universidad, Investigación e Innovación

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