Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

Burger, Florian; Feng, Xu; Hotzel, Grit; Jansen, Karl; Petschlies, Marcus; Renner, Dru B.

doi:10.1007/JHEP02(2014)099

Title: Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

Abstract

We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, aμ^hvp, arising from quark-connected Feynman graphs. It is based on ensembles featuring N_f=2+1+1 dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Including the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of a μ^hvp. The final result involving an estimate of the systematic uncertainty a_μ^hvp=6.74 (21)(18) 10^-8 shows a good overall agreement with these computations.

Authors:

Burger, Florian ^[1]; Feng, Xu ^[2]; Hotzel, Grit ^[1]; Jansen, Karl ^[3]; Petschlies, Marcus ^[4]; Renner, Dru B. ^[5]

Humboldt Univ. zu Berlin, Berlin (Germany)
High Energy Accelerator Research Organization (KEK), Tsukuba (Japan)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Cyprus, Nicosia (Cyprus)
The Cyprus Institute, Nicosia (Cyprus)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Mon Feb 24 00:00:00 EST 2014

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

Contributing Org.:: The ETM collaboration

OSTI Identifier:: 1121883

Report Number(s):: JLAB-THY-13-1771; DOE/OR/23177-2695; arXiv:1308.4327
Journal ID: ISSN 1029-8479; TRN: US1500450

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 2; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; muon g-2; muon anomaly; hadronic contribution

Citation Formats


                    Burger, Florian, Feng, Xu, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, and Renner, Dru B. Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment.  United States: N. p., 2014. 
Web.  doi:10.1007/JHEP02(2014)099.

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                    Burger, Florian, Feng, Xu, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, & Renner, Dru B. Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment.  United States.  https://doi.org/10.1007/JHEP02(2014)099

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                    Burger, Florian, Feng, Xu, Hotzel, Grit, Jansen, Karl, Petschlies, Marcus, and Renner, Dru B. Mon .  
"Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment".  United States.  https://doi.org/10.1007/JHEP02(2014)099.  https://www.osti.gov/servlets/purl/1121883.

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@article{osti_1121883,

  title        = {Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment},

  author       = {Burger, Florian and Feng, Xu and Hotzel, Grit and Jansen, Karl and Petschlies, Marcus and Renner, Dru B.},

  abstractNote = {We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, aμhvp, arising from quark-connected Feynman graphs. It is based on ensembles featuring Nf=2+1+1 dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Including the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of a μhvp. The final result involving an estimate of the systematic uncertainty aμhvp=6.74 (21)(18) 10-8 shows a good overall agreement with these computations.},

  doi          = {10.1007/JHEP02(2014)099},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 2,

  volume       = 2014,

  place        = {United States},

  year         = {Mon Feb 24 00:00:00 EST 2014},

  month        = {Mon Feb 24 00:00:00 EST 2014}

}

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Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling
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Title: Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

Abstract

Citation Formats

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

Low-energy gluon to the vacuum polarization of heavy quarks journal, March 2002

Gauge field theories on a ⊥ lattice conference, January 1999

Leading-order calculation of hadronic contributions to the Muon g-2 using the Dyson–Schwinger approach journal, October 2011

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

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Computing K and D meson masses with twisted mass lattice QCD journal, February 2011

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

Twisted-mass lattice QCD with mass non-degenerate quarks journal, February 2004

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

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Chirally improving Wilson fermions II. Four-quark operators journal, October 2004

An update of the HLS estimate of the muon g−2 journal, June 2013

Hadronic contributions to the muon g−2 and low-energy QCD journal, February 1994

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The muon g−2 journal, June 2009

Muon update journal, September 2008

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Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic moment journal, March 2005

Topological susceptibility from the twisted mass Dirac operator spectrum journal, February 2014

Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks text, January 2010

Quark disconnected diagrams in chiral perturbation theory text, January 2010

Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling text, January 2011

Leading-order calculation of hadronic contributions to the muon $g-2$ using the Dyson-Schwinger approach text, January 2011

An Update of the HLS Estimate of the Muon g-2 text, January 2012

Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment text, January 2002

Chirally improving Wilson fermions - I. O(a) improvement text, January 2003

Higher order hadronic and leptonic contributions to the muon $g − 2$ text, January 2016

A lattice calculation of the hadronic vacuum polarization contribution to ( g – 2) µ journal, January 2018

The hadronic vacuum polarization and automatic O a $$ \mathcal{O}(a) $$ improvement for twisted mass fermions journal, March 2015

Leading-order hadronic contributions to the electron and tau anomalous magnetic moments text, January 2016

The Hadronic Vacuum Polarization and Automatic $\mathcal{O}(a) $ Improvement for Twisted Mass Fermions text, January 2015

Higher order hadronic and leptonic contributions to the muon g − 2 journal, January 2016

Leading-order hadronic contributions to the electron and tau anomalous magnetic moments journal, August 2016

Muon g – 2 theory: The hadronic part journal, January 2018

QCD and strongly coupled gauge theories: challenges and perspectives journal, October 2014

QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives text, January 2014

Lattice Calculations and the Muon Anomalous Magnetic Moment journal, May 2017

Strange and charm quark contributions to the anomalous magnetic moment of the muon text, January 2014

Higher order hadronic and leptonic contributions to the muon $g-2$ text, January 2015

Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents text, January 2016

Lattice calculations and the muon anomalous magnetic moment preprint, January 2017

Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point text, January 2017

Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment text, January 2018

Electromagnetic finite-size effects to the hadronic vacuum polarization text, January 2019

( g − 2) _μ and α( M ² _Z ) re-evaluated using new precise data
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Low-energy gluon to the vacuum polarization of heavy quarks
journal, March 2002

Gauge field theories on a ⊥ lattice
conference, January 1999

Leading-order calculation of hadronic contributions to the Muon g-2 using the Dyson–Schwinger approach
journal, October 2011

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

Quark disconnected diagrams in chiral perturbation theory
journal, November 2010

Chirally improving Wilson fermions I. O(a) improvement
journal, August 2004

Renormalization group analysis of lattice theories and improved lattice action: Two-dimensional non-linear O(N) sigma model
journal, January 1985

Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks
journal, June 2010

Computing K and D meson masses with twisted mass lattice QCD
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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

Twisted-mass lattice QCD with mass non-degenerate quarks
journal, February 2004

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

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

Gauge field theories on a lattice
journal, February 1978

Chirally improving Wilson fermions II. Four-quark operators
journal, October 2004

An update of the HLS estimate of the muon g−2
journal, June 2013

Hadronic contributions to the muon g−2 and low-energy QCD
journal, February 1994

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

The muon g−2
journal, June 2009

Muon update
journal, September 2008

Status of the Fermilab muon ( g − 2) experiment
journal, June 2010

Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic moment
journal, March 2005

Topological susceptibility from the twisted mass Dirac operator spectrum
journal, February 2014

Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
text, January 2010

Quark disconnected diagrams in chiral perturbation theory
text, January 2010

Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling
text, January 2011

Leading-order calculation of hadronic contributions to the muon $g-2$ using the Dyson-Schwinger approach
text, January 2011

An Update of the HLS Estimate of the Muon g-2
text, January 2012

Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
text, January 2002

Chirally improving Wilson fermions - I. O(a) improvement
text, January 2003

Higher order hadronic and leptonic contributions to the muon $g − 2$
text, January 2016

A lattice calculation of the hadronic vacuum polarization contribution to ( g – 2) _µ
journal, January 2018

The hadronic vacuum polarization and automatic O a $$ \mathcal{O}(a) $$ improvement for twisted mass fermions
journal, March 2015

Leading-order hadronic contributions to the electron and tau anomalous magnetic moments
text, January 2016

The Hadronic Vacuum Polarization and Automatic $\mathcal{O}(a) $ Improvement for Twisted Mass Fermions
text, January 2015

Higher order hadronic and leptonic contributions to the muon g − 2
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journal, August 2016

Muon g – 2 theory: The hadronic part
journal, January 2018

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journal, October 2014

QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives
text, January 2014

Lattice Calculations and the Muon Anomalous Magnetic Moment
journal, May 2017

Strange and charm quark contributions to the anomalous magnetic moment of the muon
text, January 2014

Higher order hadronic and leptonic contributions to the muon $g-2$
text, January 2015

Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
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Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
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Electromagnetic finite-size effects to the hadronic vacuum polarization
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