Abstract
A key issue affecting the attempt to reduce the uncertainty on the Standard Model prediction for the muon anomalous magnetic moment is the current discrepancy between lattice-QCD and data-driven results for the hadronic vacuum polarization. Progress on this issue benefits from precise data-driven determinations of the isospin-limit light-quark-connected (lqc) and strange-plus-light-quark-disconnected ( s + lqd ) components of the related RBC/UKQCD windows. In this paper, using a strategy employed previously for the intermediate window, we provide data-driven results for the lqc and s + lqd components of the short- and long-distance RBC/UKQCD windows. Comparing these results with those from the lattice, we find significant discrepancies in the lqc parts but good agreement for the s + lqd components. We also explore the impact of recent CMD- 3 e + e − → π + π − cross section results, demonstrating that an upward shift in the ρ -peak region of the type seen in the CMD-3 data serves to eliminate the discrepancies for the lqc components without compromising the good agreement between lattice and data-driven s + lqd results.
Funding Information
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (2021/06756-6)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (308979/2021-4)
  • U.S. Department of Energy (DE-SC0013682)
  • Royal Society (URF\R1\231503)
  • Natural Sciences and Engineering Research Council of Canada
  • Ministerio de Universidades (PID2020–112965 GB-I00, PID2023-146142NB-I00)
  • Generalitat de Catalunya
  • H2020 European Research Council

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