Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point

Journal Article · Thu Apr 12 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.120.152001· OSTI ID:1432913

Chakraborty, B.; Davies, C. T. H.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Hatton, D.; Koponen, J.; Kronfeld, A. S.; Laiho, J.; Lepage, G. P.; Liu, Yuzhi; Mackenzie, P. B.; McNeile, C.; Neil, E. T.; Simone, J. N.; Sugar, R.; Toussaint, D.; Van de Water, R. S.; Vaquero, A.

All lattice-QCD calculations of the hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment to date have been performed with degenerate up- and down-quark masses. Here we calculate directly the strong-isospin-breaking correction to $${a}_{{\mu}}^{\mathrm{HVP}}$$ for the first time with physical values of $${m}_{u}$$ and $${m}_{d}$$ and dynamical $$u$$, $$d$$, $$s$$, and $$c$$ quarks, thereby removing this important source of systematic uncertainty. We obtain a relative shift to be applied to lattice-QCD results obtained with degenerate light-quark masses of $${\delta}{a}_{{\mu}}^{\mathrm{HVP},{m}_{u}{\ne}{m}_{d}}=+1.5(7)$$%, in agreement with estimates from phenomenology.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Contributing Organization: Fermilab Lattice, HPQCD, and MILC Collaborations
• Grant/Contract Number: AC05-06OR23177; SC0010120; SC0015655; SC0009998; SC0010005; FG02-13ER41976; SC0012704; AC02-07CH11359
• OSTI ID: 1432913
• Alternate ID(s): OSTI ID: 1433863
• Report Number(s): FERMILAB-PUB-17-486-T; arXiv:1710.11212; PRLTAO; 152001
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Vol. 120 Journal Issue: 15; ISSN 0031-9007
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
muons
magnetic moment
lattice QCD