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Title: Higher-order hadronic-vacuum-polarization contribution to the muon g 2 from lattice QCD

Journal Article · · Physical Review D

We introduce a new method for calculating the O(α3) hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ab initio lattice QCD. We first derive expressions suitable for computing the higher-order contributions either from the renormalized vacuum polarization function Π^(q2) or directly from the lattice vector-current correlator in Euclidean space. We then demonstrate the approach using previously published results for the Taylor coefficients of Π^(q2) that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain 1010aμHVP,HO=-9.3(1.3) in agreement with, but with a larger uncertainty than, determinations from e+e-→hadrons data plus dispersion relations.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Organization:
Fermilab Lattice, HPQCD, and MILC Collaborations
Grant/Contract Number:
PHY13-16222; AC02-07CH11359
OSTI ID:
1481454
Alternate ID(s):
OSTI ID: 1467057; OSTI ID: 1481732
Report Number(s):
arXiv:1806.08190; FERMILAB-PUB-18-287-T; JLAB-THY-18-2779; DOE/OR/23177-4511; PRVDAQ; 094503
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 9; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (41)

Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment journal July 2003
Mellin-Barnes approach to hadronic vacuum polarization and g μ 2 journal April 2018
Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks journal May 2010
Hadronic vacuum polarization contribution to a μ from full lattice QCD journal August 2017
Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon $$g-2$$ g - 2 and $${\alpha (m_Z^2)}$$ α ( m Z 2 ) using newest hadronic cross-section data journal December 2017
A precise determination of the HVP contribution to the muon anomalous magnetic moment from lattice QCD journal January 2018
Review of Particle Physics journal October 2016
An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment journal July 2002
Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
Higher order hadronic and leptonic contributions to the muon g − 2 journal January 2016
Hadronic vacuum polarization and gμ−2 journal July 1969
Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment journal July 2018
Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles journal July 2018
Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point journal April 2018
Connected and Leading Disconnected Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment with a Physical Pion Mass journal January 2017
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea journal March 2012
Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks journal June 2007
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
Muon g – 2 theory: The hadronic part journal January 2018
Improved nonrelativistic QCD for heavy-quark physics journal November 1992
Vector correlators in lattice QCD: Methods and applications journal November 2011
The Anomalous Magnetic Moment of the Muon book January 2017
Strange and charm quark contributions to the anomalous magnetic moment of the muon journal June 2014
Muon g 2 and α ( M Z 2 ) : A new data-based analysis journal June 2018
Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment journal February 2014
Higher-order hadronic contributions to the anomalous magnetic moment of leptons journal January 1997
QCD spectrum with three quark flavors journal August 2001
Light hadrons with improved staggered quarks: Approaching the continuum limit journal November 2004
Study of the reaction e + e π 0 γ with the SND detector at the VEPP-2M collider journal May 2016
Precision tests of the J / ψ from full lattice QCD: Mass, leptonic width, and radiative decay rate to η c journal November 2012
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
Slope and curvature of the hadronic vacuum polarization at vanishing virtuality from lattice QCD journal October 2017
Consequences of the BABAR and KLOE e + e π + π data for the determination of model-dependent ρ - ω mixing effects in Π ρ ω ( m ρ 2 ) and ( g 2 ) μ journal April 2011
Electron and muon from vacuum polarization insertions journal January 1975
The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD journal October 2017
Hadronic vacuum polarization in QCD and its evaluation in Euclidean spacetime journal July 2017
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