Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment

doi:10.1103/PhysRevD.93.014503

Title: Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment

Abstract

The quark-connected part of the hadronic light-by-light scattering contribution to the muon’s anomalous magnetic moment is computed using lattice QCD with chiral fermions. Here we report several significant algorithmic improvements and demonstrate their effectiveness through specific calculations which show a reduction in statistical errors by more than an order of magnitude. The most realistic of these calculations is performed with a near-physical 171 MeV pion mass on a (4.6 fm) ³ spatial volume using the 32 ³×64 Iwasaki+DSDR gauge ensemble of the RBC/UKQCD Collaboration.

Authors:

Blum, Thomas ^[1]; Christ, Norman ^[2]; Hayakawa, Masashi ^[3]; Izubuchi, Taku ^[4]; Jin, Luchang ^[2]; Lehner, Christoph ^[5]

Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Columbia Univ., New York, NY (United States)
Nagoya Univ. (Japan); Nishina Center (RIKEN), Wako (Japan)
Brookhaven National Lab. (BNL), Upton, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2016-01-12

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

OSTI Identifier:: 1260147

Alternate Identifier(s):: OSTI ID: 1234772

Report Number(s):: BNL-112253-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; KA2401012

Grant/Contract Number:: SC0012704; FG02-92ER41989; de-sc0011941; AC-02-98CH10886(BNL); 25610053; 26400261

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quark; QCD; fermions; pion; muon

Citation Formats


                    Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, and Lehner, Christoph. Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment.  United States: N. p., 2016. 
        Web.  doi:10.1103/PhysRevD.93.014503.

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                    Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, & Lehner, Christoph. Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment.  United States.  doi:10.1103/PhysRevD.93.014503.

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                    Blum, Thomas, Christ, Norman, Hayakawa, Masashi, Izubuchi, Taku, Jin, Luchang, and Lehner, Christoph. Tue .  
        "Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment".  United States.  doi:10.1103/PhysRevD.93.014503.  https://www.osti.gov/servlets/purl/1260147.

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@article{osti_1260147,

  title        = {Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment},

  author       = {Blum, Thomas and Christ, Norman and Hayakawa, Masashi and Izubuchi, Taku and Jin, Luchang and Lehner, Christoph},

  abstractNote = {The quark-connected part of the hadronic light-by-light scattering contribution to the muon’s anomalous magnetic moment is computed using lattice QCD with chiral fermions. Here we report several significant algorithmic improvements and demonstrate their effectiveness through specific calculations which show a reduction in statistical errors by more than an order of magnitude. The most realistic of these calculations is performed with a near-physical 171 MeV pion mass on a (4.6 fm)3 spatial volume using the 323×64 Iwasaki+DSDR gauge ensemble of the RBC/UKQCD Collaboration.},

  doi          = {10.1103/PhysRevD.93.014503},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 93,

  place        = {United States},

  year         = {2016},

  month        = {1}

}

Copy to clipboard

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DOI: 10.1103/PhysRevD.93.014503

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Works referenced in this record:

Muon ( g − 2): experiment and theory
journal, April 2007

Miller, James P.; Rafael, Eduardo de; Roberts, B. Lee
Reports on Progress in Physics, Vol. 70, Issue 5
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Final report of the E821 muon anomalous magnetic moment measurement at BNL
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( g − 2) _μ and α( M ² _Z ) re-evaluated using new precise data
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Hagiwara, Kaoru; Liao, Ruofan; Martin, Alan D.
Journal of Physics G: Nuclear and Particle Physics, Vol. 38, Issue 8
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Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$
journal, January 2011

Davier, M.; Hoecker, A.; Malaescu, B.
The European Physical Journal C, Vol. 71, Issue 1
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Complete Tenth-Order QED Contribution to the Muon $g - 2$
journal, September 2012

Aoyama, Tatsumi; Hayakawa, Masashi; Kinoshita, Toichiro
Physical Review Letters, Vol. 109, Issue 11
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Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
journal, June 2014

Kurz, Alexander; Liu, Tao; Marquard, Peter
Physics Letters B, Vol. 734
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The electroweak contributions to $(g - 2)_{μ}$ after the Higgs-boson mass measurement
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Gnendiger, C.; Stöckinger, D.; Stöckinger-Kim, H.
Physical Review D, Vol. 88, Issue 5
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Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment
journal, July 2003

Blum, T.
Physical Review Letters, Vol. 91, Issue 5
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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

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

Colangelo, Gilberto; Hoferichter, Martin; Kubis, Bastian
Physics Letters B, Vol. 738
DOI: 10.1016/j.physletb.2014.09.021

Anomalous magnetic moment of the muon in a dispersive approach
journal, December 2014

Pauk, Vladyslav; Vanderhaeghen, Marc
Physical Review D, Vol. 90, Issue 11
DOI: 10.1103/PhysRevD.90.113012

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

Blum, Thomas; Chowdhury, Saumitra; Hayakawa, Masashi
Physical Review Letters, Vol. 114, Issue 1
DOI: 10.1103/PhysRevLett.114.012001

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Aoki, Y.; Arthur, R.; Blum, T.
Physical Review D, Vol. 83, Issue 7
DOI: 10.1103/PhysRevD.83.074508

Domain wall QCD with near-physical pions
journal, May 2013

Arthur, R.; Blum, T.; Boyle, P. A.
Physical Review D, Vol. 87, Issue 9
DOI: 10.1103/PhysRevD.87.094514

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Allton, C.; Antonio, D. J.; Blum, T.
Physical Review D, Vol. 76, Issue 1
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Physical results from $2 + 1$ flavor domain wall QCD and SU(2) chiral perturbation theory
journal, December 2008

Allton, C.; Antonio, D. J.; Aoki, Y.
Physical Review D, Vol. 78, Issue 11
DOI: 10.1103/PhysRevD.78.114509

Quenched lattice QCD with domain wall fermions and the chiral limit
journal, April 2004

Blum, T.; Chen, P.; Christ, N.
Physical Review D, Vol. 69, Issue 7
DOI: 10.1103/PhysRevD.69.074502

Perturbative renormalization factors in domain-wall QCD with improved gauge actions
journal, May 2003

Aoki, Sinya; Izubuchi, T.; Kuramashi, Y.
Physical Review D, Vol. 67, Issue 9
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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

New class of variance-reduction techniques using lattice symmetries
journal, November 2013

Blum, Thomas; Izubuchi, Taku; Shintani, Eigo
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.094503

Covariant approximation averaging
journal, June 2015

Shintani, Eigo; Arthur, Rudy; Blum, Thomas
Physical Review D, Vol. 91, Issue 11
DOI: 10.1103/PhysRevD.91.114511

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

Laporta, S.; Remiddi, E.
Physics Letters B, Vol. 265, Issue 1-2
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The muon g−2
journal, June 2009

Jegerlehner, Fred; Nyffeler, Andreas
Physics Reports, Vol. 477, Issue 1-3
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Works referencing / citing this record:

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

Gérardin, Antoine; Green, Jeremy; Gryniuk, Oleksii
Physical Review D, Vol. 98, Issue 7
DOI: 10.1103/physrevd.98.074501

Updated pseudoscalar contributions to the hadronic light-by-light of the muon ( g − 2)
journal, September 2016

Sanchez-Puertas, Pablo; Masjuan, Pere
Modern Physics Letters A, Vol. 31, Issue 31
DOI: 10.1142/s0217732316300342

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Similar Records

Title: Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment

Abstract

Citation Formats

Muon ( g − 2): experiment and theory journal, April 2007

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

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

Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$ journal, January 2011

Complete Tenth-Order QED Contribution to the Muon g − 2 journal, September 2012

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order journal, June 2014

The electroweak contributions to ( g − 2 ) μ after the Higgs-boson mass measurement journal, September 2013

Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment journal, July 2003

Dispersive approach to hadronic light-by-light scattering journal, September 2014

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

Anomalous magnetic moment of the muon in a dispersive approach journal, December 2014

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

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

Domain wall QCD with near-physical pions journal, May 2013

2 + 1 flavor domain wall QCD on a ( 2 fm ) 3 lattice: Light meson spectroscopy with L s = 16 journal, July 2007

Physical results from 2 + 1 flavor domain wall QCD and SU(2) chiral perturbation theory journal, December 2008

Quenched lattice QCD with domain wall fermions and the chiral limit journal, April 2004

Perturbative renormalization factors in domain-wall QCD with improved gauge actions journal, May 2003

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

New class of variance-reduction techniques using lattice symmetries journal, November 2013

Covariant approximation averaging journal, June 2015

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

The muon g−2 journal, June 2009

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

Updated pseudoscalar contributions to the hadronic light-by-light of the muon ( g − 2) journal, September 2016

Muon ( g − 2): experiment and theory
journal, April 2007

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

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

Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$
journal, January 2011

Complete Tenth-Order QED Contribution to the Muon $g - 2$
journal, September 2012

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
journal, June 2014

The electroweak contributions to $(g - 2)_{μ}$ after the Higgs-boson mass measurement
journal, September 2013

Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment
journal, July 2003

Dispersive approach to hadronic light-by-light scattering
journal, September 2014

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

Anomalous magnetic moment of the muon in a dispersive approach
journal, December 2014

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

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Domain wall QCD with near-physical pions
journal, May 2013

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Physical results from $2 + 1$ flavor domain wall QCD and SU(2) chiral perturbation theory
journal, December 2008

Quenched lattice QCD with domain wall fermions and the chiral limit
journal, April 2004

Perturbative renormalization factors in domain-wall QCD with improved gauge actions
journal, May 2003

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

New class of variance-reduction techniques using lattice symmetries
journal, November 2013

Covariant approximation averaging
journal, June 2015

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

The muon g−2
journal, June 2009

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

Updated pseudoscalar contributions to the hadronic light-by-light of the muon ( g − 2)
journal, September 2016