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

Title: Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with a physical pion mass

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

We report a lattice QCD calculation of the hadronic light-by-light contribution to the muon anomalous magnetic moment at a physical pion mass. The calculation includes the connected diagrams and the leading, quark-line-disconnected diagrams. We incorporate algorithmic improvements developed in our previous work. The calculation was performed on the 483 × 96 ensemble generated with a physical pion mass and a 5.5 fm spatial extent by the RBC and UKQCD Collaborations using the chiral, domain wall fermion formulation. We find aHLbLμ = 5.35(1.35) × 10–10, where the error is statistical only. The finite-volume and finite lattice-spacing errors could be quite large and are the subject of ongoing research. Finally, the omitted disconnected graphs, while expected to give a correction of order 10%, also need to be computed.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC00112704; FG02-92ER40716; SC0011941; AC02-06CH11357; AC02-98CH10886
OSTI ID:
1354628
Alternate ID(s):
OSTI ID: 1339018
Report Number(s):
BNL-113726-2017-JA; PRLTAO; KA2401012
Journal Information:
Physical Review Letters, Vol. 118, Issue 2; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 65 works
Citation information provided by
Web of Science

References (36)

( g − 2) μ and α( M 2 Z ) re-evaluated using new precise data journal June 2011
Lattice QCD Calculation of Hadronic Light-by-Light Scattering journal November 2015
Towards a data-driven analysis of hadronic light-by-light scattering journal November 2014
New class of variance-reduction techniques using lattice symmetries journal November 2013
Complete Tenth-Order QED Contribution to the Muon g 2 journal September 2012
Dispersive approach to hadronic light-by-light scattering journal September 2014
The Hadronic Light-by-Light Scattering Contribution to the Muon and Electron Anomalous Magnetic Moments book December 2009
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
Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$ text January 2016
A new class of variance reduction techniques using lattice symmetries text January 2012
Computing the hadronic vacuum polarization function by analytic continuation journal August 2013
On Quantum-Electrodynamics and the Magnetic Moment of the Electron journal February 1948
Pion light-by-light contributions to the muon g − 2 journal September 2016
The electroweak contributions to ( g 2 ) μ after the Higgs-boson mass measurement journal September 2013
Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment text January 2015
Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$ journal January 2011
Dispersion relation for hadronic light-by-light scattering: theoretical foundations journal September 2015
Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD journal January 2015
Covariant approximation averaging text January 2014
Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment journal January 2016
Pion light-by-light contributions to the muon $g-2$ text January 2016
Covariant approximation averaging journal June 2015
Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment text January 2015
Anomalous magnetic moment of the muon in a dispersive approach journal December 2014
QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons journal September 2008
Vector correlators in lattice QCD: Methods and applications journal November 2011
Lattice calculation of the leading strange quark-connected contribution to the muon g − 2 journal April 2016
The muon g−2 journal June 2009
The BAGEL assembler generation library journal December 2009
Domain wall QCD with physical quark masses journal April 2016
Precision of a data-driven estimate of hadronic light-by-light scattering in the muon g 2 : Pseudoscalar-pole contribution journal September 2016
New g − 2 experiment at J-PARC journal June 2010
Dispersive approach to hadronic light-by-light scattering text January 2014
QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons text January 2008
Towards a data-driven analysis of hadronic light-by-light scattering text January 2014

Cited By (40)

Hadronic light-by-light scattering in the anomalous magnetic moment of the muon journal January 2019
Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment text January 2018
Dispersion relation for hadronic light-by-light scattering: two-pion contributions text January 2017
Using infinite-volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment journal August 2017
Muon g 2 and α ( M Z 2 ) : A new data-based analysis journal June 2018
Lattice calculations and the muon anomalous magnetic moment preprint January 2017
Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD journal February 2020
Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon journal June 2017
Dispersion relation for hadronic light-by-light scattering: two-pion contributions text January 2017
Kaon-box contribution to the anomalous magnetic moment of the muon journal March 2020
Multi-Grid Lanczos journal January 2018
The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD journal October 2017
Combined explanations of ( g 2 ) μ , e and implications for a large muon EDM journal December 2018
Lattice calculation of the pion transition form factor with N f = 2 + 1 Wilson quarks journal August 2019
Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon journal September 2018
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2018
High energy physics and cosmology at the unification frontier: Opportunities and challenges in the coming years journal July 2018
The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD text January 2017
Dispersion relation for hadronic light-by-light scattering: two-pion contributions journal April 2017
Generic loop effects of new scalars and fermions in b → sℓ+ℓ− and a vector-like 4th generation journal June 2019
b → sℓ+ℓ− transitions in two-Higgs-doublet models journal June 2019
Pseudoscalar-pole contribution to the ( g μ 2 ) : A rational approach journal March 2017
Opportunities for lattice QCD in quark and lepton flavor physics text January 2019
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study journal September 2017
Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon text January 2017
Revised and improved value of the QED tenth-order electron anomalous magnetic moment journal February 2018
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2018
Kaon-box contribution to the anomalous magnetic moment of the muon text January 2019
Opportunities for Lattice QCD in quark and lepton flavor physics journal November 2019
b → sℓ+ℓ− transitions in two-Higgs-doublet models text January 2019
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules journal October 2018
Higher-order hadronic-vacuum-polarization contribution to the muon g 2 from lattice QCD journal November 2018
b → sℓ+ℓ− transitions in two-Higgs-doublet models text January 2019
Exploratory studies for the position-space approach to hadronic light-by-light scattering in the muon g - 2 journal January 2018
Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules text January 2017
Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment text January 2017
Lattice Calculations and the Muon Anomalous Magnetic Moment journal May 2017
Multi-Grid Lanczos text January 2017
Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment journal July 2018
Hadronic light-by-light scattering in the anomalous magnetic moment of the muon text January 2019