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Title: Hadronic vacuum polarization contribution to a μ from full lattice QCD

Abstract

We determine the contribution to the anomalous magnetic moment of the muon from the $$\alpha^2_{\mathrm{QED}}$$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $$a_{\mu}^{\mathrm{HVP,LO}}$$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $$a_{\mu}$$ and the Standard Model of 3$$\sigma$$.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
HPQCD Collaboration
OSTI Identifier:
1375912
Report Number(s):
arXiv:1601.03071; FERMILAB-PUB-17-296-T
Journal ID: ISSN 2470-0010; PRVDAQ; 1415120
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; 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

Citation Formats

Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., and Van de Water, R. S. Hadronic vacuum polarization contribution to aμ from full lattice QCD. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.034516.
Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., & Van de Water, R. S. Hadronic vacuum polarization contribution to aμ from full lattice QCD. United States. doi:10.1103/PhysRevD.96.034516.
Chakraborty, Bipasha, Davies, C. T. H., de Oliveira, P. G., Koponen, J., Lepage, G. P., and Van de Water, R. S. Tue . "Hadronic vacuum polarization contribution to aμ from full lattice QCD". United States. doi:10.1103/PhysRevD.96.034516. https://www.osti.gov/servlets/purl/1375912.
@article{osti_1375912,
title = {Hadronic vacuum polarization contribution to aμ from full lattice QCD},
author = {Chakraborty, Bipasha and Davies, C. T. H. and de Oliveira, P. G. and Koponen, J. and Lepage, G. P. and Van de Water, R. S.},
abstractNote = {We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $a_{\mu}^{\mathrm{HVP,LO}}$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $a_{\mu}$ and the Standard Model of 3$\sigma$.},
doi = {10.1103/PhysRevD.96.034516},
journal = {Physical Review D},
issn = {2470-0010},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

Works referenced in this record:

Muon $$g-2$$ g - 2 estimates: can one trust effective Lagrangians and global fits?
journal, December 2015


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


( 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

Constrained curve fitting
journal, March 2002


Review of Particle Physics
journal, October 2016


Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013


The role of resonances in chiral perturbation theory
journal, July 1989


Erratum: Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)]
journal, November 2014


Scaling studies of QCD with the dynamical highly improved staggered quark action
journal, October 2010


Measurement of the e+e−→π+π− cross section between 600 and 900 MeV using initial state radiation
journal, February 2016


Finite-volume effects in the muon anomalous magnetic moment on the lattice
journal, March 2016


Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
journal, April 2011


Erratum to: Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha(M_{Z}^{2})$
journal, February 2012


Two-Flavor QCD Correction to Lepton Magnetic Moments at Leading Order in the Electromagnetic Coupling
journal, August 2011


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


ϒ and ϒ leptonic widths, a μ b , and m b from full lattice QCD
journal, April 2015


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


High-precision quark masses and QCD coupling from n f = 4 lattice QCD
journal, March 2015


High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD
journal, February 2008


Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ
journal, March 2012

  • Morte, Michele Della; Jäger, Benjamin; Jüttner, Andreas
  • Journal of High Energy Physics, Vol. 2012, Issue 3
  • DOI: 10.1007/JHEP03(2012)055

Predictions for g 2 of the muon and α QED ( M Z 2 )
journal, May 2004


Strange and charm quark contributions to the anomalous magnetic moment of the muon
journal, June 2014

  • Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C.
  • Physical Review D, Vol. 89, Issue 11
  • DOI: 10.1103/PhysRevD.89.114501

Recent developments in the comparison between theory and experiments in quantum electrodynamics
journal, May 1972


Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment
journal, February 2014

  • Burger, Florian; Feng, Xu; Hotzel, Grit
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)099

Pion-pion scattering amplitude
journal, April 2005


Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD
journal, February 2013


High-precision scale setting in lattice QCD
journal, September 2012

  • Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)010

V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks
journal, October 2013


Precision tests of the J / ψ from full lattice QCD: Mass, leptonic width, and radiative decay rate to η c
journal, November 2012


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


Chiral perturbation theory to one loop
journal, November 1984


Lattice determination of the hadronic contribution to the muon g 2 using dynamical domain wall fermions
journal, April 2012


Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007


Leading-order hadronic contribution to the electron and muon g − 2
journal, January 2016


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


ρ 0–γ mixing in the neutral channel pion form factor $F^{(e)}_{\pi}(s)$ and its role in comparing e + e − with τ spectral functions
journal, May 2011


Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
journal, April 2016


QED corrections to hadronic processes in lattice QCD
journal, April 2015


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