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Title: Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD

Abstract

We report the first result for the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment with all errors systematically controlled. Several ensembles using 2+1 flavors of physical mass Möbius domain-wall fermions, generated by the RBC/UKQCD collaborations, are employed to take the continuum and infinite volume limits of finite volume lattice QED+QCD. We find a μ HLbL = 7.87 ( 3.06 ) stat ( 1.77 ) sys × 10 - 10 . Our value is consistent with previous model results and leaves little room for this notoriously difficult hadronic contribution to explain the difference between the Standard Model and the BNL experiment.

Authors:
; ; ; ; ORCiD logo; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1607958
Alternate Identifier(s):
OSTI ID: 1617673
Report Number(s):
BNL-215902-2020-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; 132002
Grant/Contract Number:  
SC0010339; SC0011941; SC0012704(BNL); AC02-06CH11357; 16K05317; hp180151; hp190137; SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 13; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Magnetic moment; Quantum electrodynamics; Physical Systems; Muons; Path-integral Monte Carlo

Citation Formats

Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.132002.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, & Lehner, Christoph. Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD. United States. doi:https://doi.org/10.1103/PhysRevLett.124.132002
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Wed . "Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD". United States. doi:https://doi.org/10.1103/PhysRevLett.124.132002.
@article{osti_1607958,
title = {Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD},
author = {Blum, Thomas and Christ, Norman and Hayakawa, Masashi and Izubuchi, Taku and Jin, Luchang and Jung, Chulwoo and Lehner, Christoph},
abstractNote = {We report the first result for the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment with all errors systematically controlled. Several ensembles using 2+1 flavors of physical mass Möbius domain-wall fermions, generated by the RBC/UKQCD collaborations, are employed to take the continuum and infinite volume limits of finite volume lattice QED+QCD. We find aμHLbL=7.87(3.06)stat(1.77)sys×10-10. Our value is consistent with previous model results and leaves little room for this notoriously difficult hadronic contribution to explain the difference between the Standard Model and the BNL experiment.},
doi = {10.1103/PhysRevLett.124.132002},
journal = {Physical Review Letters},
number = 13,
volume = 124,
place = {United States},
year = {2020},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevLett.124.132002

Citation Metrics:
Cited by: 10 works
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Works referenced in this record:

Dispersion relation for hadronic light-by-light scattering: pion pole
journal, October 2018

  • Hoferichter, Martin; Hoid, Bai-Long; Kubis, Bastian
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)141

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD
journal, January 2015


Finite-volume correction on the hadronic vacuum polarization contribution to the muon g 2 in lattice QCD
journal, September 2018


Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, January 2016


Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, August 2017


Pseudoscalar-pole contribution to the ( g μ 2 ) : A rational approach
journal, March 2017


Decay of Pseudoscalars into Lepton Pairs and Large- N c QCD
journal, December 1999


Towards a data-driven analysis of hadronic light-by-light scattering
journal, November 2014


Lattice QCD Calculation of Hadronic Light-by-Light Scattering
journal, November 2015


Combined explanations of ( g 2 ) μ , e and implications for a large muon EDM
journal, December 2018

  • Crivellin, Andreas; Hoferichter, Martin; Schmidt-Wellenburg, Philipp
  • Physical Review D, Vol. 98, Issue 11
  • DOI: 10.1103/PhysRevD.98.113002

Covariant approximation averaging
journal, June 2015


Dispersion relation for hadronic light-by-light scattering: two-pion contributions
journal, April 2017

  • Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)161

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment
journal, July 2018


Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point
journal, April 2018


Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles
journal, July 2018


Connected and Leading Disconnected Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment with a Physical Pion Mass
journal, January 2017


Three-pion contribution to hadronic vacuum polarization
journal, August 2019

  • Hoferichter, Martin; Hoid, Bai-Long; Kubis, Bastian
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/JHEP08(2019)137

Higher-order hadronic-vacuum-polarization contribution to the muon g 2 from lattice QCD
journal, November 2018


QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons
journal, September 2008

  • Uno, S.; Hayakawa, M.
  • Progress of Theoretical Physics, Vol. 120, Issue 3
  • DOI: 10.1143/PTP.120.413

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


Calculation of the Hadronic Vacuum Polarization Disconnected Contribution to the Muon Anomalous Magnetic Moment
journal, June 2016


The analytic value of the light-light vertex graph contributions to the electron g −2 in QED
journal, August 1991


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


Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon
journal, June 2017


Leading hadronic contribution to ( g 2 ) μ from lattice QCD with N f = 2 + 1 flavors of O ( a ) improved Wilson quarks
journal, July 2019


Lattice QCD and the anomalous magnetic moment of the muon
journal, January 2019


Light-quark contribution to the leading hadronic vacuum polarization term of the muon g 2 from twisted-mass fermions
journal, December 2018


Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD
journal, February 2020


Muon g 2 and α ( M Z 2 ) : A new data-based analysis
journal, June 2018


Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
journal, October 2018


Light quark vacuum polarization at the physical point and contribution to the muon g 2
journal, January 2020


Pion light-by-light contributions to the muon g − 2
journal, September 2016


Tale of two anomalies
journal, October 2018


Electromagnetic and strong isospin-breaking corrections to the muon g 2 from lattice QCD + QED
journal, June 2019


Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon
journal, September 2018


Lattice calculation of the pion transition form factor π 0 γ * γ *
journal, October 2016


Domain wall QCD with physical quark masses
journal, April 2016


Two-pion contribution to hadronic vacuum polarization
journal, February 2019

  • Colangelo, Gilberto; Hoferichter, Martin; Stoffer, Peter
  • Journal of High Energy Physics, Vol. 2019, Issue 2
  • DOI: 10.1007/JHEP02(2019)006

Dissecting the Hadronic Contributions to ( g 2 ) μ by Schwinger’s Sum Rule
journal, February 2018


Multi-Grid Lanczos
journal, January 2018


Dispersion relation for hadronic light-by-light scattering: theoretical foundations
journal, September 2015

  • Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)074