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

Abstract

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:
Research Org.:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Fermilab Lattice, HPQCD, and MILC Collaborations
OSTI Identifier:
1432913
Alternate Identifier(s):
OSTI ID: 1433863
Report Number(s):
FERMILAB-PUB-17-486-T; arXiv:1710.11212
Journal ID: ISSN 0031-9007; PRLTAO; 152001
Grant/Contract Number:  
AC05-06OR23177; SC0010120; SC0015655; SC0009998; SC0010005; FG02-13ER41976; SC0012704; AC02-07CH11359
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; muons; magnetic moment; lattice QCD

Citation Formats

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., and Fermilab Lattice, HPQCD, and MILC Collaborations. Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point. United States: N. p., 2018. 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., & Fermilab Lattice, HPQCD, and MILC Collaborations. Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point. United States. https://doi.org/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., and Fermilab Lattice, HPQCD, and MILC Collaborations. Thu . "Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point". United States. https://doi.org/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. and Fermilab Lattice, HPQCD, and MILC Collaborations},
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 = {Thu Apr 12 00:00:00 EDT 2018},
month = {Thu Apr 12 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
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https://doi.org/10.1103/PhysRevLett.120.152001

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Works referenced in this record:

Leading isospin-breaking corrections to meson masses on the lattice
journal, January 2018


The Anomalous Magnetic Moment of the Muon
book, January 2017


Strange and charm quark contributions to the anomalous magnetic moment of the muon
journal, June 2014

  • Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C.
  • Physical Review D, Vol. 89, Issue 11
  • DOI: 10.1103/PhysRevD.89.114501

Hadronic vacuum polarization contribution to a μ from full lattice QCD
journal, August 2017

  • Chakraborty, Bipasha; Davies, C. T. H.; de Oliveira, P. G.
  • Physical Review D, Vol. 96, Issue 3
  • DOI: 10.1103/PhysRevD.96.034516

Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment
journal, February 2014

  • Burger, Florian; Feng, Xu; Hotzel, Grit
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)099

Review of Particle Physics
journal, October 2016


Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013


High-precision scale setting in lattice QCD
journal, September 2012

  • Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)010

The discrepancy between τ and e + e − spectral functions revisited and the consequences for the muon magnetic anomaly
journal, January 2010


V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks
journal, October 2013


Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007


Slope and curvature of the hadronic vacuum polarization at vanishing virtuality from lattice QCD
journal, October 2017


The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD
journal, October 2017

  • Morte, M. Della; Francis, A.; Gülpers, V.
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)020

Final report of the E821 muon anomalous magnetic moment measurement at BNL
journal, April 2006


ρ 0–γ mixing in the neutral channel pion form factor $F^{(e)}_{\pi}(s)$ and its role in comparing e + e − with τ spectral functions
journal, May 2011


Radiative τ decay and the magnetic moment of the muon
journal, August 2002


Muon g – 2 theory: The hadronic part
journal, January 2018


Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
journal, September 2017

  • Boyle, P.; Gülpers, V.; Harrison, J.
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)153

Works referencing / citing this record:

Lattice calculation of the hadronic leading order contribution to the muon g − 2
journal, January 2020


Opportunities for Lattice QCD in quark and lepton flavor physics
journal, November 2019