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

Chakraborty, B.; Davies, C. T. H.; Koponen, J.; Lepage, G. P.; Van de Water, R. S.

doi:10.1103/PhysRevD.98.094503

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

Abstract

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.

Authors:: Chakraborty, B.; Davies, C. T. H.; Koponen, J.; Lepage, G. P.; Van de Water, R. S.; Fermilab Lattice, HPQCD, and MILC Collaborations

Publication Date:: Fri Nov 09 00:00:00 EST 2018

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

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

Contributing Org.:: Fermilab Lattice, HPQCD, and MILC Collaborations

OSTI Identifier:: 1481454

Alternate Identifier(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
Journal ID: ISSN 2470-0010; PRVDAQ; 094503

Grant/Contract Number:: PHY13-16222; AC02-07CH11359

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., Van de Water, R. S., and Fermilab Lattice, HPQCD, and MILC Collaborations. Higher-order hadronic-vacuum-polarization contribution to the muon g − 2 from lattice QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.094503.

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                    Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., Van de Water, R. S., & Fermilab Lattice, HPQCD, and MILC Collaborations. Higher-order hadronic-vacuum-polarization contribution to the muon g − 2 from lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.98.094503

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                    Chakraborty, B., Davies, C. T. H., Koponen, J., Lepage, G. P., Van de Water, R. S., and Fermilab Lattice, HPQCD, and MILC Collaborations. Fri .  
"Higher-order hadronic-vacuum-polarization contribution to the muon g − 2 from lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.98.094503.

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@article{osti_1481454,

  title        = {Higher-order hadronic-vacuum-polarization contribution to the muon g − 2 from lattice QCD},

  author       = {Chakraborty, B. and Davies, C. T. H. and Koponen, J. and Lepage, G. P. and Van de Water, R. S. and Fermilab Lattice, HPQCD, and MILC Collaborations},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevD.98.094503},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 98,

  place        = {United States},

  year         = {Fri Nov 09 00:00:00 EST 2018},

  month        = {Fri Nov 09 00:00:00 EST 2018}

}

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Works referenced in this record:

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

Abstract

Citation Formats

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

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

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 $e^{+} e^{-} \to π^{0} γ$ 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 $e^{+} e^{-} \to π^{+} π^{-}$ 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