Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

Davies, C. T. H.; DeTar, C.; El-Khadra, A. X.; Gottlieb, Steven; Hatton, D.; Kronfeld, A. S.; Lahert, S.; Lepage, G. P.; McNeile, C.; Neil, E. T.; Peterson, C. T.; Ray, G. S.; Van de Water, R. S.; Vaquero, A.

doi:10.1103/PhysRevD.106.074509

Title: Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

Abstract

An accurate determination of the leading-order hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model prediction and experimental results being obtained by the Muon g-2 experiment at Fermilab. The Standard Model prediction is currently based on a data-driven approach to the HVP using experimental results for $$\sigma(e^+e^-\rightarrow\,\mathrm{hadrons})$$. Lattice QCD aims to provide a result with similar uncertainty from calculated vector-vector correlation functions, but the growth of statistical and systematic errors in the $u/d$ quark correlation functions at large Euclidean time has made this difficult to achieve. We show that restricting the lattice contributions to a one-sided window 0₁ can greatly improve lattice results while still capturing a large fraction of the total HVP. We illustrate this by comparing windowed lattice results based on the 2019 Fermilab Lattice/HPQCD/MILC HVP analysis with corresponding results obtained from the KNT19 analysis of R_e⁺e^- data. For t₁=1.5 fm, 70% of the total HVP is contained within the window and our lattice result has an error of 0.7%, only about twice as big as the error from the e⁺e^- analysis. We see a tension of 2.7$$\sigma$$ between the two results. With increased statistics in the lattice data the one-sided windows will allow stringent tests of lattice and R_e⁺e^- results that include a large fraction of the total HVP contribution.

Authors:

;

; Lahert, S.;

;

; Peterson, C. T.; Ray, G. S.;

;

; Fermilab Lattice, HPQCD, and MILC Collaborations

Publication Date:: Mon Oct 24 00:00:00 EDT 2022

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Colorado, Boulder, CO (United States)

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

Contributing Org.:: Fermilab Lattice Collaboration; MILC Collaboration; HPQCD Collaboration

OSTI Identifier:: 1894423

Alternate Identifier(s):: OSTI ID: 1879529; OSTI ID: 2223080

Report Number(s):: FERMILAB-PUB-22-450-T; arXiv:2207.04765
Journal ID: ISSN 2470-0010; PRVDAQ; 074509

Grant/Contract Number:: SC0015655; SC0010120; SC0010005; AC02-07CH11359; TG-MCA93S002; DGE 2040434; 21-S-05

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 106 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; magnetic moment; quantum chromodynamics; muons; lattice QCD

Citation Formats


                    Davies, C. T. H., DeTar, C., El-Khadra, A. X., Gottlieb, Steven, Hatton, D., Kronfeld, A. S., Lahert, S., Lepage, G. P., McNeile, C., Neil, E. T., Peterson, C. T., Ray, G. S., Van de Water, R. S., Vaquero, A., and Fermilab Lattice, HPQCD, and MILC Collaborations. Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.  United States: N. p., 2022. 
Web.  doi:10.1103/PhysRevD.106.074509.

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                    Davies, C. T. H., DeTar, C., El-Khadra, A. X., Gottlieb, Steven, Hatton, D., Kronfeld, A. S., Lahert, S., Lepage, G. P., McNeile, C., Neil, E. T., Peterson, C. T., Ray, G. S., Van de Water, R. S., Vaquero, A., & Fermilab Lattice, HPQCD, and MILC Collaborations. Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.  United States.  https://doi.org/10.1103/PhysRevD.106.074509

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                    Davies, C. T. H., DeTar, C., El-Khadra, A. X., Gottlieb, Steven, Hatton, D., Kronfeld, A. S., Lahert, S., Lepage, G. P., McNeile, C., Neil, E. T., Peterson, C. T., Ray, G. S., Van de Water, R. S., Vaquero, A., and Fermilab Lattice, HPQCD, and MILC Collaborations. Mon .  
"Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment".  United States.  https://doi.org/10.1103/PhysRevD.106.074509.

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@article{osti_1894423,

  title        = {Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment},

  author       = {Davies, C. T. H. and DeTar, C. and El-Khadra, A. X. and Gottlieb, Steven and Hatton, D. and Kronfeld, A. S. and Lahert, S. and Lepage, G. P. and McNeile, C. and Neil, E. T. and Peterson, C. T. and Ray, G. S. and Van de Water, R. S. and Vaquero, A. and Fermilab Lattice, HPQCD, and MILC Collaborations},

  abstractNote = {An accurate determination of the leading-order hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model prediction and experimental results being obtained by the Muon g-2 experiment at Fermilab. The Standard Model prediction is currently based on a data-driven approach to the HVP using experimental results for $\sigma(e^+e^-\rightarrow\,\mathrm{hadrons})$. Lattice QCD aims to provide a result with similar uncertainty from calculated vector-vector correlation functions, but the growth of statistical and systematic errors in the $u/d$ quark correlation functions at large Euclidean time has made this difficult to achieve. We show that restricting the lattice contributions to a one-sided window 01 can greatly improve lattice results while still capturing a large fraction of the total HVP. We illustrate this by comparing windowed lattice results based on the 2019 Fermilab Lattice/HPQCD/MILC HVP analysis with corresponding results obtained from the KNT19 analysis of Re+e- data. For t1=1.5 fm, 70% of the total HVP is contained within the window and our lattice result has an error of 0.7%, only about twice as big as the error from the e+e- analysis. We see a tension of 2.7$\sigma$ between the two results. With increased statistics in the lattice data the one-sided windows will allow stringent tests of lattice and Re+e- results that include a large fraction of the total HVP contribution.},

  doi          = {10.1103/PhysRevD.106.074509},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 106,

  place        = {United States},

  year         = {Mon Oct 24 00:00:00 EDT 2022},

  month        = {Mon Oct 24 00:00:00 EDT 2022}

}

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Colangelo, Gilberto; Hoferichter, Martin; Nyffeler, Andreas
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Erratum: The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation [Phys. Rev. D 76 , 092005 (2007)]
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Lehner, Christoph
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Study of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>ϕ</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math> with CMD-2 detector
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Giusti, D.; Lubicz, V.; Martinelli, G.
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Gérardin, Antoine; Cè, Marco; von Hippel, Georg
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Davier, M.; Hoecker, A.; Malaescu, B.
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Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C.
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Aubin, Christopher; Blum, Thomas; Tu, Cheng
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Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
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Czarnecki, Andrzej; Marciano, William J.; Vainshtein, Arkady
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Benayoun, M.; DelBuono, L.; Jegerlehner, F.
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Hadronic vacuum polarization contribution to the muon g − 2 with ( 2 + 1 )-flavor lattice QCD on a larger than ( 10 fm ) 4 lattice at the physical point
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Shintani, Eigo; Kuramashi, Yoshinobu
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R value measurements for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> annihilation at 2.60, 3.07 and 3.65 GeV
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Akhmetshin, R. R.; Amirkhanov, A. N.; Anisenkov, A. V.
Physics Letters B, Vol. 773
DOI: 10.1016/j.physletb.2017.08.019

Measurement of the $e^{+} e^{-} \to η π^{+} π^{-}$ cross section in the center-of-mass energy range 1.22–2.00 GeV with the SND detector at the VEPP-2000 collider
journal, March 2015

Aulchenko, V. M.; Achasov, M. N.; Barnyakov, A. Yu.
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.052013

Measurement of the $e^{+} e^{-} \to p \bar{p}$ cross section in the energy range from 3.0 to 6.5 GeV
journal, October 2013

Lees, J. P.; Poireau, V.; Tisserand, V.
Physical Review D, Vol. 88, Issue 7
DOI: 10.1103/PhysRevD.88.072009

Measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math> and the dipion contribution to the muon anomaly with the KLOE detector
journal, January 2009

Ambrosino, F.; Antonelli, A.; Antonelli, M.
Physics Letters B, Vol. 670, Issue 4-5
DOI: 10.1016/j.physletb.2008.10.060

Refinements in electroweak contributions to the muon anomalous magnetic moment
journal, April 2003

Czarnecki, Andrzej; Marciano, William J.; Vainshtein, Arkady
Physical Review D, Vol. 67, Issue 7
DOI: 10.1103/PhysRevD.67.073006

A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\varvec{\alpha }({{\varvec{m}}}_{{\varvec{Z}}}^2)$$α(mZ2)
journal, March 2020

Davier, M.; Hoecker, A.; Malaescu, B.
The European Physical Journal C, Vol. 80, Issue 3
DOI: 10.1140/epjc/s10052-020-7792-2

Measurements of $e^{+} e^{-} \to K^{+} K^{-} η$ , $K^{+} K^{-} π^{0}$ , and $K_{s}^{0} K^{\pm} π^{\mp}$ cross sections using initial state radiation events
journal, May 2008

Aubert, B.; Bona, M.; Boutigny, D.
Physical Review D, Vol. 77, Issue 9
DOI: 10.1103/PhysRevD.77.092002

Renormalizing vector currents in lattice QCD using momentum-subtraction schemes
journal, December 2019

Hatton, D.; Davies, C. T. H.; Lepage, G. P.
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/PhysRevD.100.114513

Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined
journal, December 2004

Melnikov, Kirill; Vainshtein, Arkady
Physical Review D, Vol. 70, Issue 11
DOI: 10.1103/PhysRevD.70.113006

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

Chakraborty, Bipasha; Davies, C. T. H.; Koponen, J.
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.074509

Disconnected hadronic vacuum polarization contribution to the muon g-2 with HISQ
conference, May 2019

Yamamoto, Shuhei; DeTar, Carleton; El-Khadra, Aida
Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
DOI: 10.22323/1.334.0322

Deflation Methods in Fermion Inverters
conference, March 2008

Wilcox, Walter
Proceedings of The XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)
DOI: 10.22323/1.042.0025

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Similar Records

Title: Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

Abstract

Citation Formats

Cross sections for the reactions e + e − → K + K − π + π − , K + K − π 0 π 0 , and K + K − K + K − measured using initial-state radiation events journal, July 2012

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

Effective noise reduction techniques for disconnected loops in Lattice QCD journal, September 2010

Study of the e + e − → π + π − π 0 process using initial state radiation with BABAR journal, October 2004

Study of the process e + e − → p p ¯ in the c.m. energy range from threshold to 2 GeV with the CMD-3 detector journal, August 2016

Dispersion relation for hadronic light-by-light scattering: two-pion contributions journal, April 2017

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment journal, November 2019

Initial-state radiation measurement of the e + e − → π + π − π + π − cross section journal, June 2012

Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass journal, September 2016

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

Three-pion contribution to hadronic vacuum polarization journal, August 2019

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

Study of the process e + e − → K + K − in the center-of-mass energy range 1010–1060 MeV with the CMD-3 detector journal, April 2018

QED interaction effects on heavy meson masses from lattice QCD+QED journal, November 2020

Light-quark contribution to the leading hadronic vacuum polarization term of the muon g − 2 from twisted-mass fermions journal, December 2018

Window contributions to the muon hadronic vacuum polarization with twisted-mass fermions conference, May 2022

Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough? journal, September 2022

g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium journal, January 2020

Quark disconnected diagrams in chiral perturbation theory journal, November 2010

Measurement of the e + e − → π+π− cross section with the CMD-2 detector in the 370–520-MeV energy range journal, December 2006

The e + e − → 2 ( π + π − ) π 0 , 2 ( π + π − ) η , K + K − π + π − π 0 and K + K − π + π − η cross sections measured with initial-state radiation journal, November 2007

Study of e + e − → Λ Λ ¯ , Λ Σ ¯ 0 , Σ 0 Σ ¯ 0 using initial state radiation with BABAR journal, November 2007

Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm journal, April 2021

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

Precise measurement of Ruds and R between 1.84 and 3.72 GeV at the KEDR detector journal, January 2019

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio journal, April 2020

The e + e − → 3 ( π + π − ) , 2 ( π + π − π 0 ) and K + K − 2 ( π + π − ) cross sections at center-of-mass energies from production threshold to 4.5 GeV measured with initial-state radiation journal, March 2006

Leading hadronic contribution to the muon magnetic moment from lattice QCD journal, April 2021

Two-pion contribution to hadronic vacuum polarization journal, February 2019

Measurements of the Cross Section for e + e − → Hadrons at Center-of-Mass Energies from 2 to 5 GeV journal, February 2002

e + e − → π + π − π + π − , K + K − π + π − , and K + K − K + K − cross sections at center-of-mass energies 0.5–4.5 GeV measured with initial-state radiation journal, March 2005

Precise Measurement of the e + e − → π + π − ( γ ) Cross Section with the Initial State Radiation Method at BABAR journal, December 2009

Study of the reactions e + e − → π + π − π 0 π 0 π 0 and π + π − π 0 π 0 η at center-of-mass energies from threshold to 4.35 GeV using initial-state radiation journal, December 2018

Dynamical twisted mass fermions with light quarks: simulation and analysis details journal, November 2008

Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g − 2)μ with large-Nc Regge models journal, March 2020

Combination of KLOE σ (e+e− → π+π−γ(γ)) measurements and determination of a μ π + π − $$ {a}_{\mu}^{\pi^{+}{\pi}^{-}} $$ in the energy range 0.10 < s < 0.95 GeV2 journal, March 2018

Progress report on computing the disconnected QCD and the QCD plus QED hadronic contributions to the muon’s anomalous magnetic moment. conference, May 2022

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

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

Precision measurement of the hadronic contribution to the muon anomalous magnetic moment journal, February 2018

High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector journal, April 2007

Measurement of the e + e − → K S K L π 0 cross section in the energy range s = 1.3 – 2.0 GeV journal, February 2018

Review of Particle Physics journal, August 2020

Theory for muon-electron scattering @ 10 ppm: A report of the MUonE theory initiative journal, June 2020

Status of the MUonE experiment journal, April 2022

Study of e + e − → p p ¯ using initial state radiation with BABAR journal, January 2006

Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point journal, April 2018

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD journal, April 2020

Measurements of the parameters of the φ ( 1020 ) resonance through studies of the processes e + e − → K + K − , K S K L , and π + π − π 0 journal, March 2001

Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data journal, May 2022

Charmonium properties from lattice QCD+QED : Hyperfine splitting, J/ψ leptonic width, charm quark mass, and aμc journal, September 2020

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD journal, February 2020

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

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

Study of the reaction e + e − → π 0 γ with the SND detector at the VEPP-2M collider journal, May 2016

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

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

The hadronic vacuum polarization of the muon fromfour-flavor lattice QCD conference, January 2020

ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon journal, March 2022

Pseudoscalar-pole contribution to the ( g μ − 2 ) : A rational approach journal, March 2017

Erratum: The e + e − → 2 ( π + π − ) π 0 , 2 ( π + π − ) η , K + K − π + π − π 0 and K + K − π + π − η cross sections measured with initial-state radiation [Phys. Rev. D 76 , 092005 (2007)] journal, June 2008

Study of the process e + e − → π + π − η using initial state radiation journal, March 2018

Measuring the leading hadronic contribution to the muon g-2 via $$\mu e$$ μ e scattering journal, March 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

Measurement of the Total Cross Section for Hadronic Production by e + e − Annihilation at Energies between 2.6–5 GeV journal, January 2000

Cross sections for the reactions e + e − → K S 0 K L 0 , K S 0 K L 0 π + π − , K S 0 K S 0 π + π − , and K S 0 K S 0 K + K − from events with initial-state radiation journal, May 2014

Study of the process e+e− → 3(π+π−)π0 in the c.m. energy range 1.6–2.0 GeV with the CMD-3 detector journal, May 2019

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

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

Electromagnetic Splittings and Light Quark Masses in Lattice QCD journal, May 1996

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

Measurement of the e + e − → K + K − π + π − cross section with the CMD-3 detector at the VEPP-2000 collider journal, May 2016

Hadronic vacuum polarization of the muon on 2+1+1-flavor HISQ ensembles: an update. conference, May 2022

Study of the process e + e − → π + π − π 0 in the energy region s from 0.98 to 1.38 GeV journal, August 2002

Leading hadronic contribution to ( g − 2 ) μ from lattice QCD with N f = 2 + 1 flavors of O ( a ) improved Wilson quarks journal, July 2019

Cross sections for the reactions $e^{+} e^{-} \to K^{+} K^{-} π^{+} π^{-}$ , $K^{+} K^{-} π^{0} π^{0}$ , and $K^{+} K^{-} K^{+} K^{-}$ measured using initial-state radiation events
journal, July 2012

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

Effective noise reduction techniques for disconnected loops in Lattice QCD
journal, September 2010

Study of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ process using initial state radiation with BABAR
journal, October 2004

Study of the process $e^{+} e^{-} \to p \bar{p}$ in the c.m. energy range from threshold to 2 GeV with the CMD-3 detector
journal, August 2016

Dispersion relation for hadronic light-by-light scattering: two-pion contributions
journal, April 2017

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
journal, November 2019

Initial-state radiation measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{+} π^{-}$ cross section
journal, June 2012

Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
journal, September 2016

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

Three-pion contribution to hadronic vacuum polarization
journal, August 2019

$ϒ$ and $ϒ^{'}$ leptonic widths, $a_{μ}^{b}$ , and $m_{b}$ from full lattice QCD
journal, April 2015

Study of the process e + e − → K + K − in the center-of-mass energy range 1010–1060 MeV with the CMD-3 detector
journal, April 2018

QED interaction effects on heavy meson masses from lattice QCD+QED
journal, November 2020

Light-quark contribution to the leading hadronic vacuum polarization term of the muon $g - 2$ from twisted-mass fermions
journal, December 2018

Window contributions to the muon hadronic vacuum polarization with twisted-mass fermions
conference, May 2022

Muon anomalous magnetic moment with staggered fermions: Is the lattice spacing small enough?
journal, September 2022

$g - 2$ of charged leptons, $α (M_{Z}^{2})$ , and the hyperfine splitting of muonium
journal, January 2020

Quark disconnected diagrams in chiral perturbation theory
journal, November 2010

Measurement of the e + e − → π+π− cross section with the CMD-2 detector in the 370–520-MeV energy range
journal, December 2006

The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation
journal, November 2007

Study of $e^{+} e^{-} \to Λ \bar{Λ}$ , $Λ {\bar{Σ}}^{0}$ , $Σ^{0} {\bar{Σ}}^{0}$ using initial state radiation with BABAR
journal, November 2007

Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
journal, April 2021

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

Precise measurement of Ruds and R between 1.84 and 3.72 GeV at the KEDR detector
journal, January 2019

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio
journal, April 2020

The $e^{+} e^{-} \to 3 (π^{+} π^{-})$ , $2 (π^{+} π^{-} π^{0})$ and $K^{+} K^{-} 2 (π^{+} π^{-})$ cross sections at center-of-mass energies from production threshold to 4.5 GeV measured with initial-state radiation
journal, March 2006

Leading hadronic contribution to the muon magnetic moment from lattice QCD
journal, April 2021

Two-pion contribution to hadronic vacuum polarization
journal, February 2019

Measurements of the Cross Section for $e^{+} e^{-} \to Hadrons$ at Center-of-Mass Energies from 2 to 5 GeV
journal, February 2002

$e^{+} e^{-} \to π^{+} π^{-} π^{+} π^{-}$ , $K^{+} K^{-} π^{+} π^{-}$ , and $K^{+} K^{-} K^{+} K^{-}$ cross sections at center-of-mass energies 0.5–4.5 GeV measured with initial-state radiation
journal, March 2005

Precise Measurement of the $e^{+} e^{-} \to π^{+} π^{-} (γ)$ Cross Section with the Initial State Radiation Method at BABAR
journal, December 2009

Study of the reactions e + e − → π + π − π 0 π 0 π 0 and π + π − π 0 π 0 η at center-of-mass energies from threshold to 4.35 GeV using initial-state radiation
journal, December 2018

Dynamical twisted mass fermions with light quarks: simulation and analysis details
journal, November 2008

Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g − 2)μ with large-Nc Regge models
journal, March 2020

Combination of KLOE σ (e+e− → π+π−γ(γ)) measurements and determination of a μ π + π − $$ {a}_{\mu}^{\pi^{+}{\pi}^{-}} $$ in the energy range 0.10 < s < 0.95 GeV2
journal, March 2018

Progress report on computing the disconnected QCD and the QCD plus QED hadronic contributions to the muon’s anomalous magnetic moment.
conference, May 2022

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

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

Precision measurement of the hadronic contribution to the muon anomalous magnetic moment
journal, February 2018

High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector
journal, April 2007

Measurement of the $e^{+} e^{-} \to K_{S} K_{L} π^{0}$ cross section in the energy range $\sqrt{s} = 1.3 - 2.0 GeV$
journal, February 2018

Review of Particle Physics
journal, August 2020

Theory for muon-electron scattering @ 10 ppm: A report of the MUonE theory initiative
journal, June 2020

Status of the MUonE experiment
journal, April 2022

Study of $e^{+} e^{-} \to p \bar{p}$ using initial state radiation with BABAR
journal, January 2006

Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point
journal, April 2018

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD
journal, April 2020

Measurements of the parameters of the $φ (1020)$ resonance through studies of the processes $e^{+} e^{-} \to K^{+} K^{-},$ $K_{S} K_{L},$ and $π^{+} π^{-} π^{0}$
journal, March 2001

Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
journal, May 2022

Charmonium properties from lattice QCD+QED : Hyperfine splitting, J/ψ leptonic width, charm quark mass, and aμc
journal, September 2020

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD
journal, February 2020

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

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

Study of the reaction $e^{+} e^{-} \to π^{0} γ$ with the SND detector at the VEPP-2M collider
journal, May 2016

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

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

The hadronic vacuum polarization of the muon fromfour-flavor lattice QCD
conference, January 2020

ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
journal, March 2022

Pseudoscalar-pole contribution to the $(g_{μ} - 2)$ : A rational approach
journal, March 2017

Erratum: The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation [Phys. Rev. D 76 , 092005 (2007)]
journal, June 2008

Study of the process $e^{+} e^{-} \to π^{+} π^{-} η$ using initial state radiation
journal, March 2018

Measuring the leading hadronic contribution to the muon g-2 via $$\mu e$$ μ e scattering
journal, March 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

Measurement of the Total Cross Section for Hadronic Production by $e^{+} e^{-}$ Annihilation at Energies between 2.6–5 GeV
journal, January 2000

Cross sections for the reactions $e^{+} e^{-} \to K_{S}^{0} K_{L}^{0}$ , $K_{S}^{0} K_{L}^{0} π^{+} π^{-}$ , $K_{S}^{0} K_{S}^{0} π^{+} π^{-}$ , and $K_{S}^{0} K_{S}^{0} K^{+} K^{-}$ from events with initial-state radiation
journal, May 2014

Study of the process e+e− → 3(π+π−)π0 in the c.m. energy range 1.6–2.0 GeV with the CMD-3 detector
journal, May 2019

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

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

Electromagnetic Splittings and Light Quark Masses in Lattice QCD
journal, May 1996

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

Measurement of the e + e − → K + K − π + π − cross section with the CMD-3 detector at the VEPP-2000 collider
journal, May 2016

Hadronic vacuum polarization of the muon on 2+1+1-flavor HISQ ensembles: an update.
conference, May 2022

Study of the process $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ in the energy region $\sqrt{s}$ from 0.98 to 1.38 GeV
journal, August 2002

Leading hadronic contribution to $(g - 2)_{μ}$ from lattice QCD with $N_{f} = 2 + 1$ flavors of $O (a)$ improved Wilson quarks
journal, July 2019

Erratum to: A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\alpha (m^{2}_{Z})$$
journal, May 2020

Lattice calculation of the pion transition form factor with $N_{f} = 2 + 1$ Wilson quarks
journal, August 2019

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