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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.
Authors:
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Publication Date:
Report Number(s):
FERMILAB-PUB-17-486-T; arXiv:1710.11212
Journal ID: ISSN 0031-9007; 1633594; TRN: US1802367
Grant/Contract Number:
AC02-07CH11359; AC05-06OR23177; SC0010120; SC0015655; SC0009998; SC0010005; FG02-13ER41976; SC0012704
Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
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
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; muons; magnetic moment; lattice QCD
OSTI Identifier:
1432913
Alternate Identifier(s):
OSTI ID: 1433863

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., and Vaquero, A.. Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point. United States: N. p., Web. doi:10.1103/PhysRevLett.120.152001.
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.. Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point. United States. doi:10.1103/PhysRevLett.120.152001.
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., and Vaquero, A.. 2018. "Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point". United States. doi:10.1103/PhysRevLett.120.152001.
@article{osti_1432913,
title = {Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point},
author = {Chakraborty, B. and Davies, C. T. H. and DeTar, C. and El-Khadra, A. X. and Gámiz, E. and Gottlieb, Steven and Hatton, D. and Koponen, J. and Kronfeld, A. S. and Laiho, J. and Lepage, G. P. and Liu, Yuzhi and Mackenzie, P. B. and McNeile, C. and Neil, E. T. and Simone, J. N. and Sugar, R. and Toussaint, D. and Van de Water, R. S. and Vaquero, A.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.120.152001},
journal = {Physical Review Letters},
number = 15,
volume = 120,
place = {United States},
year = {2018},
month = {4}
}