skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4]
  1. Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab., Upton, NY (United States)
  2. Univ. of Connecticut, Storrs, CT (United States)
  3. Nagoya Univ., Nagoya (Japan); RIKEN, Saitama (Japan)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States)

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The hadronic contribution is calculated for unphysical quark and muon masses, and only the diagram with a single quark loop is computed. Statistically significant signals are obtained. Initial results appear promising, and the prospect for a complete calculation with physical masses and controlled errors is discussed.

Research Organization:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC00112704; FG02-13ER41989; SC0010339
OSTI ID:
1183837
Alternate ID(s):
OSTI ID: 1180333
Report Number(s):
BNL-107878-2015-JA; PRLTAO; R&D Project: PO-3; TRN: US1600764
Journal Information:
Physical Review Letters, Vol. 114, Issue 1; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 69 works
Citation information provided by
Web of Science

References (24)

Final report of the E821 muon anomalous magnetic moment measurement at BNL journal April 2006
Complete Tenth-Order QED Contribution to the Muon g 2 journal September 2012
Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$ journal January 2011
Erratum to: Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha(M_{Z}^{2})$ journal February 2012
( g − 2) μ and α( M 2 Z ) re-evaluated using new precise data journal June 2011
Refinements in electroweak contributions to the muon anomalous magnetic moment journal April 2003
Erratum: Refinements in electroweak contributions to the muon anomalous magnetic moment [Phys. Rev. D 67 , 073006 (2003)] journal June 2006
Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order journal June 2014
Single meson contributions to the muon’s anomalous magnetic moment journal August 2014
Dispersive approach to hadronic light-by-light scattering journal September 2014
Photon-Photon Scattering Contribution to the Sixth-Order Magnetic Moment of the Muon journal August 1969
Photon-Photon Scattering Contribution to the Sixth-Order Magnetic Moments of the Muon and Electron journal April 1970
The analytic value of the light-light vertex graph contributions to the electron g −2 in QED journal August 1991
Electromagnetic Splittings and Light Quark Masses in Lattice QCD journal May 1996
Physical results from 2 + 1 flavor domain wall QCD and SU(2) chiral perturbation theory journal December 2008
Continuum limit physics from 2 + 1 flavor domain wall QCD journal April 2011
New class of variance-reduction techniques using lattice symmetries journal November 2013
The muon g−2 journal June 2009
Full QED + QCD Low-Energy Constants through Reweighting journal August 2012
Dispersive approach to hadronic light-by-light scattering text January 2014
Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order text January 2014
A new class of variance reduction techniques using lattice symmetries text January 2012
Single meson contributions to the muon's anomalous magnetic moment text January 2014
Electromagnetic Splittings and Light Quark Masses in Lattice QCD text January 1996

Cited By (27)

Lattice Calculations and the Muon Anomalous Magnetic Moment journal May 2017
Leading-order hadronic contribution to the electron and muon g − 2 journal January 2016
Higher order hadronic and leptonic contributions to the muon g − 2 journal January 2016
Exploratory studies for the position-space approach to hadronic light-by-light scattering in the muon g - 2 journal January 2018
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
Opportunities for Lattice QCD in quark and lepton flavor physics journal November 2019
Updated pseudoscalar contributions to the hadronic light-by-light of the muon ( g − 2) journal September 2016
The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD text January 2017
Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon text January 2017
Dispersion relation for hadronic light-by-light scattering: two-pion contributions text January 2017
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2018
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2018
Higher order hadronic and leptonic contributions to the muon $g − 2$ text January 2016
Leading-order hadronic contribution to the electron and muon $g − 2$ text January 2016
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2017
Light stops, blind spots, and isospin violation in the MSSM text January 2015
A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model text January 2015
Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment text January 2015
Higher order hadronic and leptonic contributions to the muon $g-2$ text January 2015
Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment text January 2015
Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$ text January 2016
Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2) text January 2016
Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass text January 2016
Dispersion relation for hadronic light-by-light scattering: two-pion contributions text January 2017
Lattice calculations and the muon anomalous magnetic moment preprint January 2017
Opportunities for lattice QCD in quark and lepton flavor physics text January 2019