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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1354628
Alternate Identifier(s):
OSTI ID: 1339018
Report Number(s):
BNL-113726-2017-JA
Journal ID: ISSN 0031-9007; PRLTAO; KA2401012
Grant/Contract Number:  
SC00112704; FG02-92ER40716; SC0011941; AC02-06CH11357; AC02-98CH10886
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 2; 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; pion; quark; muon

Citation Formats

Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with a physical pion mass. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.022005.
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, & Lehner, Christoph. Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with a physical pion mass. United States. https://doi.org/10.1103/PhysRevLett.118.022005
Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, Jung, Chulwoo, and Lehner, Christoph. Wed . "Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with a physical pion mass". United States. https://doi.org/10.1103/PhysRevLett.118.022005. https://www.osti.gov/servlets/purl/1354628.
@article{osti_1354628,
title = {Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with a physical pion mass},
author = {Blum, Thomas and Christ, Norman and Hayakawa, Masashi and Izubuchi, Taku and Jin, Luchang and Jung, Chulwoo and Lehner, Christoph},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.118.022005},
journal = {Physical Review Letters},
number = 2,
volume = 118,
place = {United States},
year = {Wed Jan 11 00:00:00 EST 2017},
month = {Wed Jan 11 00:00:00 EST 2017}
}

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Cited by: 65 works
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Works referenced in this record:

( g − 2) μ and α( M 2 Z ) re-evaluated using new precise data
journal, June 2011

  • Hagiwara, Kaoru; Liao, Ruofan; Martin, Alan D.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 38, Issue 8
  • DOI: 10.1088/0954-3899/38/8/085003

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

  • Colangelo, G.; Hoferichter, M.; Procura, M.
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)091

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


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

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

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


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

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

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

  • Blum, T.; Boyle, P. A.; Del Debbio, L.
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)063

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


New g − 2 experiment at J-PARC
journal, June 2010


Dispersive approach to hadronic light-by-light scattering
text, January 2014


Towards a data-driven analysis of hadronic light-by-light scattering
text, January 2014


Works referencing / citing this record:

Hadronic light-by-light scattering in the anomalous magnetic moment of the muon
journal, January 2019


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

  • Morte, M. Della; Francis, A.; Gülpers, V.
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/jhep10(2017)020

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

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

  • Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-04147

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

  • Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/jhep04(2017)161

Generic loop effects of new scalars and fermions in b → sℓ+ℓ− and a vector-like 4th generation
journal, June 2019

  • Arnan, Pere; Crivellin, Andreas; Fedele, Marco
  • Journal of High Energy Physics, Vol. 2019, Issue 6
  • DOI: 10.1007/jhep06(2019)118

b → sℓ+ℓ− transitions in two-Higgs-doublet models
journal, June 2019

  • Crivellin, Andreas; Müller, Dario; Wiegand, Christoph
  • Journal of High Energy Physics, Vol. 2019, Issue 6
  • DOI: 10.1007/jhep06(2019)119

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

  • Boyle, P.; Gülpers, V.; Harrison, J.
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/jhep09(2017)153

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

  • Stoffer, Peter; Procura, Massimiliano; Hoferichter, Martin
  • American Physical Society
  • DOI: 10.7892/boris.102039

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

  • Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
  • GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
  • DOI: 10.15120/gsi-2019-00678

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

  • Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-13402

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

  • Asmussen, Nils; Gerardin, Antoine; Nyffeler, Andreas
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2020-00087