Light quark vacuum polarization at the physical point and contribution to the muon $g-2$

Journal Article · Wed Jan 01 00:00:00 UTC 2020 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.101.014503 · OSTI ID:1581673

Aubin, Christopher ; Blum, Thomas; Tu, Cheng ; Golterman, Maarten ; Jung, Chulwoo ; Peris, Santiago

We report on the computation of the connected light-quark vacuum polarization with $2+1+1$ flavors of highly improved staggered quarks [Follana et al., Phys. Rev. D 75, 054502 (2007).] fermions at the physical point and its contribution to the muon anomalous magnetic moment. Three ensembles, generated by the MILC collaboration, are used to take the continuum limit. The finite-volume correction to this result is computed in the (Euclidean) time-momentum representation to next-to-next-to-leading order (NNLO) in chiral perturbation theory. We find $a_{\mu }^{ll}\left(\mathrm{HVP}\right)=(659\pm 20\pm 5\pm 5\pm 4)\times {10}^{-10}$, where the errors are statistical and estimates of residual uncertainties from taking the continuum limit, scale setting, and truncation of chiral perturbation theory at NNLO. We compare our results with recent ones in the literature.

• Research Organization: Brookhaven National Laboratory (BNL), Upton, NY (United States); San Francisco State Univ., CA (United States); Univ. of Connecticut, Storrs, CT (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: FG02-92ER40716; FG03-92ER40711; SC0010339; SC0012704; SC0013682
• OSTI ID: 1581673
• Report Number(s): BNL--213584-2020-JAAM; 014503
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 101; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English