Data-driven results for light-quark connected and strange-plus-disconnected hadronic $g-2$ short- and long-distance windows

Journal Article · 11 February 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.034018 · OSTI ID:2515648

Benton, Genessa ; Boito, Diogo ; Golterman, Maarten ; Keshavarzi, Alexander ; Maltman, Kim ; Peris, Santiago

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 ( $\mathrm{s}+\mathrm{lqd}$ ) 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 $\mathrm{s}+\mathrm{lqd}$ 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 $\mathrm{s}+\mathrm{lqd}$ components. We also explore the impact of recent CMD- $3e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section results, demonstrating that an upward shift in the $\rho$ -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 $\mathrm{s}+\mathrm{lqd}$ results. Published by the American Physical Society 2025

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0013682
• OSTI ID: 2515648
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English