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

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.
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Publication Date:
Report Number(s):
FERMILAB-PUB-17-486-T; arXiv:1710.11212
Journal ID: ISSN 0031-9007; 1633594
Grant/Contract Number:
AC02-07CH11359; AC05-06OR23177; SC0010120; SC0015655; SC0009998; SC0010005; FG02-13ER41976; SC0012704
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 15; Journal ID: ISSN 0031-9007
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Orgs:
Fermilab Lattice, HPQCD, and MILC Collaborations
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; muons; magnetic moment; lattice QCD
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1433863