Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD

Izubuchi, Taku; Kuramashi, Yoshinobu; Lehner, Christoph; Shintani, Eigo

doi:10.1103/PhysRevD.98.054505

Title: Finite-volume correction on the hadronic vacuum polarization contribution to the muon $g - 2$ in lattice QCD

Abstract

We study the finite-volume correction on the hadronic vacuum polarization contribution to the muon g-2 (a$$hvp\atop{μ}$$) in lattice QCD at physical pion mass using two different volumes: (5.4 fm)⁴ and (8.1 fm)⁴. We use an optimized AMA technique for noise reduction on N_f = 2+1 PACS gauge configurations with clover-Wilson fermion action and stout-smeared gluon action at a single lattice cut-off a^-1 = 2.33 GeV. The calculation is performed for the quark-connected light-quark contribution in the isospin symmetric limit. We take into account the effects of backward propagating states by extending a temporal boundary condition. In addition we study a quark-mass correction to tune to the exactly same physical pion mass on different volume and compare its correction with chiral perturbation. We find 10 ( 26 ) × 10^-10 difference for light quark a$$hvp\atop{μ}$$ between (5.4 fm)⁴ and (8.1 fm )⁴ lattice in146 MeV pion.

Authors:: Izubuchi, Taku; Kuramashi, Yoshinobu; Lehner, Christoph; Shintani, Eigo; PACS Collaboration

Publication Date:: Thu Sep 06 00:00:00 EDT 2018

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

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

Contributing Org.:: PACS Collaboration

OSTI Identifier:: 1468869

Alternate Identifier(s):: OSTI ID: 1475138

Report Number(s):: BNL-209105-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 054505

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 5; 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; HVP; lattice; QCD; fermion; decay; hadronic; quark; GEV; muon g-2; PACS

Citation Formats


                    Izubuchi, Taku, Kuramashi, Yoshinobu, Lehner, Christoph, Shintani, Eigo, and PACS Collaboration. Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.054505.

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                    Izubuchi, Taku, Kuramashi, Yoshinobu, Lehner, Christoph, Shintani, Eigo, & PACS Collaboration. Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.98.054505

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                    Izubuchi, Taku, Kuramashi, Yoshinobu, Lehner, Christoph, Shintani, Eigo, and PACS Collaboration. Thu .  
"Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.98.054505.

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@article{osti_1468869,

  title        = {Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD},

  author       = {Izubuchi, Taku and Kuramashi, Yoshinobu and Lehner, Christoph and Shintani, Eigo and PACS Collaboration},

  abstractNote = {We study the finite-volume correction on the hadronic vacuum polarization contribution to the muon g-2 (a$hvp\atop{μ}$) in lattice QCD at physical pion mass using two different volumes: (5.4 fm)4 and (8.1 fm)4. We use an optimized AMA technique for noise reduction on Nf = 2+1 PACS gauge configurations with clover-Wilson fermion action and stout-smeared gluon action at a single lattice cut-off a-1 = 2.33 GeV. The calculation is performed for the quark-connected light-quark contribution in the isospin symmetric limit. We take into account the effects of backward propagating states by extending a temporal boundary condition. In addition we study a quark-mass correction to tune to the exactly same physical pion mass on different volume and compare its correction with chiral perturbation. We find 10 ( 26 ) × 10-10 difference for light quark a$hvp\atop{μ}$ between (5.4 fm)4 and (8.1 fm )4 lattice in146 MeV pion.},

  doi          = {10.1103/PhysRevD.98.054505},

  journal      = {Physical Review. D.},

  number       = 5,

  volume       = 98,

  place        = {United States},

  year         = {Thu Sep 06 00:00:00 EDT 2018},

  month        = {Thu Sep 06 00:00:00 EDT 2018}

}

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We present the first lattice QCD determination of the Λ_b → Λ* (1520) vector, axial vector, and tensor form factors that are relevant for the rare decays Λ_b → Λ*. The lattice calculation is performed in the Λ* rest frame with nonzero Λ_b momenta, and is limited to the high-q² region. An interpolating field with covariant derivatives is used to obtain good overlap with the Λ*. The analysis treats the Λ* as a stable particle, which is expected to be a reasonable approximation for this narrow resonance. A domain-wall action is used for the light and strange quarks, while themore »« less
https://doi.org/10.1103/PhysRevD.103.074505
Light-quark connected intermediate-window contributions to the muon $g - 2$ hadronic vacuum polarization from lattice QCD

Journal Article Bazavov, Alexei ; Davies, Christine ; DeTar, Carleton ; ... - Physical Review. D.

We present a lattice-QCD calculation of the light-quark connected contribution to window observables associated with the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon,more »« less
https://doi.org/10.1103/PhysRevD.107.114514

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Title: Finite-volume correction on the hadronic vacuum polarization contribution to the muon g − 2 in lattice QCD

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Precise measurement of the e + e − → π + π − ( γ ) cross section with the initial-state radiation method at BABAR journal, August 2012

Stability of lattice QCD simulations and the thermodynamic limit journal, February 2006

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

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

Review of Particle Physics journal, October 2016

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment journal, July 2018

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

Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles journal, July 2018

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

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

High-statistics study of the τ − → π − π 0 ν τ decay journal, October 2008

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions journal, October 2017

Tenth-Order QED Contribution to the Electron g − 2 and an Improved Value of the Fine Structure Constant journal, September 2012

Solution of the Dirac equation in lattice QCD using a domain decomposition method journal, January 2004

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

Hadronic structure in the decay τ − → π − π 0 ν τ journal, May 2000

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

Hadronic contributions to the muon g-factor journal, May 1969

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

Vector two-point functions in finite volume using partially quenched chiral perturbation theory at two loops journal, December 2017

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

Slope and curvature of the hadronic vacuum polarization at vanishing virtuality from lattice QCD journal, October 2017

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD journal, October 2017

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

Measurement of the strong coupling constant journal, January 1999

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

Hadronic vacuum polarization contribution to a μ from full lattice QCD journal, August 2017

Mass and Axial current renormalization in the Schr\"{o}dinger functional scheme for the RG-improved gauge and the stout smeared $O(a)$-improved Wilson quark actions. conference, July 2016

Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm journal, April 2004

Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions journal, October 2010

Covariant approximation averaging journal, June 2015

2+1 flavor QCD simulation on a $96^4$ lattice conference, July 2016

Error reduction technique using covariant approximation and application to nucleon form factor conference, December 2012

Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD journal, June 2004

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

Vector correlators in lattice QCD: Methods and applications journal, November 2011

Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: An exploratory study journal, January 2017

The muon g−2 journal, June 2009

Reweighting towards the chiral limit journal, July 2008

Muon g − 2 and α ( M Z 2 ) : A new data-based analysis journal, June 2018

Precision Magnetic Field Calibration for the Muon $g-2$ Experiment at Fermilab conference, April 2017

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

Local coherence and deflation of the low quark modes in lattice QCD journal, July 2007

Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications journal, December 2005

Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment journal, April 2017

Title: Finite-volume correction on the hadronic vacuum polarization contribution to the muon $g - 2$ in lattice QCD

Precise measurement of the $e^{+} e^{-} \to π^{+} π^{-} (γ)$ cross section with the initial-state radiation method at BABAR
journal, August 2012

Stability of lattice QCD simulations and the thermodynamic limit
journal, February 2006

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

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

Review of Particle Physics
journal, October 2016

Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment
journal, July 2018

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

Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles
journal, July 2018

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

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

High-statistics study of the $τ^{-} \to π^{-} π^{0} ν_{τ}$ decay
journal, October 2008

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions
journal, October 2017

Tenth-Order QED Contribution to the Electron $g - 2$ and an Improved Value of the Fine Structure Constant
journal, September 2012

Solution of the Dirac equation in lattice QCD using a domain decomposition method
journal, January 2004

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

Hadronic structure in the decay $τ^{-} \to π^{-} π^{0} ν_{τ}$
journal, May 2000

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

Hadronic contributions to the muon g-factor
journal, May 1969

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

Vector two-point functions in finite volume using partially quenched chiral perturbation theory at two loops
journal, December 2017

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

Slope and curvature of the hadronic vacuum polarization at vanishing virtuality from lattice QCD
journal, October 2017

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD
journal, October 2017

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

Measurement of the strong coupling constant
journal, January 1999

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

Hadronic vacuum polarization contribution to $a_{μ}$ from full lattice QCD
journal, August 2017

Mass and Axial current renormalization in the Schr\"{o}dinger functional scheme for the RG-improved gauge and the stout smeared $O(a)$-improved Wilson quark actions.
conference, July 2016

Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
journal, April 2004

Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions
journal, October 2010

Covariant approximation averaging
journal, June 2015

2+1 flavor QCD simulation on a $96^4$ lattice
conference, July 2016

Error reduction technique using covariant approximation and application to nucleon form factor
conference, December 2012

Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD
journal, June 2004

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

Vector correlators in lattice QCD: Methods and applications
journal, November 2011

Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: An exploratory study
journal, January 2017

The muon g−2
journal, June 2009

Reweighting towards the chiral limit
journal, July 2008

Muon $g - 2$ and $α (M_{Z}^{2})$ : A new data-based analysis
journal, June 2018

Precision Magnetic Field Calibration for the Muon $g-2$ Experiment at Fermilab
conference, April 2017

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

Local coherence and deflation of the low quark modes in lattice QCD
journal, July 2007

Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications
journal, December 2005

Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
journal, April 2017