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

Keshavarzi, Alexander; Nomura, Daisuke; Teubner, Thomas

doi:10.1103/PhysRevD.101.014029

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

Abstract

Following updates in the compilation of $e^+e^₋ →$ hadrons data, this work presents reevaluations of the hadronic vacuum polarization contributions to the anomalous magnetic moments of the electron ($$a_e$$), muon ($$a_μ$$) and tau lepton ($$a_τ$$), to the ground-state hyperfine splitting of muonium and also updates the hadronic contributions to the running of the QED coupling at the mass scale of the Z boson, $$α(M^2_Z)$$ . Combining the results for the hadronic vacuum polarization contributions with recent updates for the hadronic light-by-light corrections, the electromagnetic and the weak contributions, the deviation between the measured value of a μ and its Standard Model prediction amounts to $$Δa_μ$$ = (28.02 ± 7.37) × 10^₋10, corresponding to a muon $$\mathcal{g}$$ ₋ 2 discrepancy of 3.8σ.

Authors:

; Nomura, Daisuke;

Publication Date:: 2020-01-29

Research Org.:: Univ. of Mississippi, Oxford, MS (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: Science and Technology Facilities Council (STFC); USDOE Office of Science (SC), High Energy Physics (HEP); Japan Society for the Promotion of Science (JSPS)

OSTI Identifier:: 1595860

Alternate Identifier(s):: OSTI ID: 1802339

Grant/Contract Number:: SC0012391; AC02-07CH11359; ST/S000925/1; JP17H01133; ST/P000290/1; ST/S000879/1

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats


                    Keshavarzi, Alexander, Nomura, Daisuke, and Teubner, Thomas. g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.101.014029.

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                    Keshavarzi, Alexander, Nomura, Daisuke, & Teubner, Thomas. g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium.  United States.  https://doi.org/10.1103/PhysRevD.101.014029

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                    Keshavarzi, Alexander, Nomura, Daisuke, and Teubner, Thomas. Wed .  
"g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium".  United States.  https://doi.org/10.1103/PhysRevD.101.014029.

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@article{osti_1595860,

  title        = {g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium},

  author       = {Keshavarzi, Alexander and Nomura, Daisuke and Teubner, Thomas},

  abstractNote = {Following updates in the compilation of $e^+e^₋ →$ hadrons data, this work presents reevaluations of the hadronic vacuum polarization contributions to the anomalous magnetic moments of the electron ($a_e$), muon ($a_μ$) and tau lepton ($a_τ$), to the ground-state hyperfine splitting of muonium and also updates the hadronic contributions to the running of the QED coupling at the mass scale of the Z boson, $α(M^2_Z)$ . Combining the results for the hadronic vacuum polarization contributions with recent updates for the hadronic light-by-light corrections, the electromagnetic and the weak contributions, the deviation between the measured value of a μ and its Standard Model prediction amounts to $Δa_μ$ = (28.02 ± 7.37) × 10₋10, corresponding to a muon $\mathcal{g}$ ₋ 2 discrepancy of 3.8σ.},

  doi          = {10.1103/PhysRevD.101.014029},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {1}

}

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High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment
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Liu, W.; Boshier, M. G.; Dhawan, S.
Physical Review Letters, Vol. 82, Issue 4
DOI: 10.1103/PhysRevLett.82.711

Two-pion low-energy contribution to the muon $g - 2$ with improved precision from analyticity and unitarity
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Title: g − 2 of charged leptons, α ( M Z 2 ) , and the hyperfine splitting of muonium

Abstract

Citation Formats

New muonium HFS measurements at J-PARC/MUSE journal, August 2016

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

( 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

Combined explanations of ( g − 2 ) μ , e and implications for a large muon EDM journal, December 2018

Pion electromagnetic form factor at high precision with implications to a μ π π and the onset of perturbative QCD journal, December 2018

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

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

Higher Precision Measurement of the hfs Interval of Muonium and of the Muon Magnetic Moment journal, October 1982

Suggested Boson-Lepton Pair Couplings and the Anomalous Magnetic Moment of the Muon journal, April 1968

Perspectives on Higgs Physics II book, November 1997

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

Hyperfine splitting in muonium: Accuracy of the theoretical prediction journal, August 2019

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

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

Final report of the E821 muon anomalous magnetic moment measurement at BNL journal, April 2006

Hadronic light-by-light scattering in muonium hyperfine splitting journal, September 2008

A perturbation theory driven analysis of the effective QED coupling at MZ journal, October 1998

Publisher’s Note: Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm [Phys. Rev. Lett. 89 , 101804 (2002)] journal, September 2002

Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon journal, June 2017

Predictions for g − 2 of the muon and α QED ( M Z 2 ) journal, May 2004

Variations on Photon Vacuum Polarization journal, January 2019

The Muon g − 2 experiment at Fermilab journal, January 2019

Measurement of the e + e − → π 0 γ cross section in the energy range 1.075–2 GeV at SND journal, December 2018

Review of Particle Physics journal, August 2018

Higher-order hadronic contributions to the anomalous magnetic moment of leptons journal, January 1997

CODATA recommended values of the fundamental physical constants: 2014 journal, September 2016

Revised and improved value of the QED tenth-order electron anomalous magnetic moment journal, February 2018

Measurement of the fine-structure constant as a test of the Standard Model journal, April 2018

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

New Determination of the Fine Structure Constant and Test of the Quantum Electrodynamics journal, February 2011

Precision measurements of σhadronic for αeff(E) at ILC energies and (g−2)μ journal, December 2006

Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon journal, September 2018

Theory of the τ Lepton Anomalous Magnetic Moment journal, January 2007

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

Leading-order hadronic contribution to the electron and muon g − 2 journal, January 2016

A new approach for measuring the muon anomalous magnetic moment and electric dipole moment journal, May 2019

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

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

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

New Measurement of the Electron Magnetic Moment and the Fine Structure Constant journal, March 2008

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

Dispersion relation for hadronic light-by-light scattering: pion pole journal, October 2018

Numerical calculation of the full two-loop electroweak corrections to muon ( g − 2 ) journal, April 2019

Updated estimate of the muon magnetic momentusing revised results from e + e -annihilation journal, December 2003

The Hadronic Contribution to journal, July 2007

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

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

Three-loop polarization function and O(αs2) corrections to the production of heavy quarks journal, December 1996

Heavy quark vacuum polarisation to three loops journal, March 1996

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

Erratum to: Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha(M_{Z}^{2})$ journal, February 2012

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

Leptonic contribution to the effective electromagnetic coupling constant up to three loops journal, June 1998

Calculation of the Sixth-Order Contribution from the Fourth-Order Vacuum Polarization to the Difference of the Anomalous Magnetic Moments of Muon and Electron journal, October 1968

Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED journal, September 2013

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

Heavy quark current correlators to (αs2 journal, November 1997

Study of the process e+e− → K+K−η with the CMD-3 detector at the VEPP-2000 collider journal, November 2019

Precise determination of the low-energy hadronic contribution to the muon g − 2 from analyticity and unitarity: An improved analysis journal, June 2016

High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment journal, January 1999

Two-pion low-energy contribution to the muon g − 2 with improved precision from analyticity and unitarity journal, February 2014

Measurement of the e + e − → π + π − π 0 η cross section below s = 2 GeV journal, June 2019

Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium journal, February 2013

Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops journal, November 2019

Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm journal, August 2002

Precision of a data-driven estimate of hadronic light-by-light scattering in the muon g − 2 : Pseudoscalar-pole contribution journal, September 2016

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

Improved predictions for of the muon and journal, May 2007

Single meson contributions to the muon’s anomalous magnetic moment journal, August 2014

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

New muonium HFS measurements at J-PARC/MUSE
journal, August 2016

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

( 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

Combined explanations of $(g - 2)_{μ, e}$ and implications for a large muon EDM
journal, December 2018

Pion electromagnetic form factor at high precision with implications to a μ π π and the onset of perturbative QCD
journal, December 2018

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

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

Higher Precision Measurement of the hfs Interval of Muonium and of the Muon Magnetic Moment
journal, October 1982

Suggested Boson-Lepton Pair Couplings and the Anomalous Magnetic Moment of the Muon
journal, April 1968

Perspectives on Higgs Physics II
book, November 1997

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

Hyperfine splitting in muonium: Accuracy of the theoretical prediction
journal, August 2019

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

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

Final report of the E821 muon anomalous magnetic moment measurement at BNL
journal, April 2006

Hadronic light-by-light scattering in muonium hyperfine splitting
journal, September 2008

A perturbation theory driven analysis of the effective QED coupling at MZ
journal, October 1998

Publisher’s Note: Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm [Phys. Rev. Lett. 89 , 101804 (2002)]
journal, September 2002

Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon
journal, June 2017

Predictions for $g - 2$ of the muon and $α_{QED} {(M}_{Z}^{2})$
journal, May 2004

Variations on Photon Vacuum Polarization
journal, January 2019

The Muon g − 2 experiment at Fermilab
journal, January 2019

Measurement of the e + e − → π 0 γ cross section in the energy range 1.075–2 GeV at SND
journal, December 2018

Review of Particle Physics
journal, August 2018

Higher-order hadronic contributions to the anomalous magnetic moment of leptons
journal, January 1997

CODATA recommended values of the fundamental physical constants: 2014
journal, September 2016

Revised and improved value of the QED tenth-order electron anomalous magnetic moment
journal, February 2018

Measurement of the fine-structure constant as a test of the Standard Model
journal, April 2018

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

New Determination of the Fine Structure Constant and Test of the Quantum Electrodynamics
journal, February 2011

Precision measurements of σhadronic for αeff(E) at ILC energies and (g−2)μ
journal, December 2006

Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon
journal, September 2018

Theory of the τ Lepton Anomalous Magnetic Moment
journal, January 2007

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

Leading-order hadronic contribution to the electron and muon g − 2
journal, January 2016

A new approach for measuring the muon anomalous magnetic moment and electric dipole moment
journal, May 2019

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

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

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

New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
journal, March 2008

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

Dispersion relation for hadronic light-by-light scattering: pion pole
journal, October 2018

Numerical calculation of the full two-loop electroweak corrections to muon ( $g - 2$ )
journal, April 2019

Updated estimate of the muon magnetic momentusing revised results from e + e -annihilation
journal, December 2003

The Hadronic Contribution to
journal, July 2007

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

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

Three-loop polarization function and O(αs2) corrections to the production of heavy quarks
journal, December 1996

Heavy quark vacuum polarisation to three loops
journal, March 1996

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

Erratum to: Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha(M_{Z}^{2})$
journal, February 2012

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

Leptonic contribution to the effective electromagnetic coupling constant up to three loops
journal, June 1998

Calculation of the Sixth-Order Contribution from the Fourth-Order Vacuum Polarization to the Difference of the Anomalous Magnetic Moments of Muon and Electron
journal, October 1968

Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
journal, September 2013

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

Heavy quark current correlators to (αs2
journal, November 1997

Study of the process e+e− → K+K−η with the CMD-3 detector at the VEPP-2000 collider
journal, November 2019

Precise determination of the low-energy hadronic contribution to the muon $g - 2$ from analyticity and unitarity: An improved analysis
journal, June 2016

High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment
journal, January 1999

Two-pion low-energy contribution to the muon $g - 2$ with improved precision from analyticity and unitarity
journal, February 2014

Measurement of the e + e − → π + π − π 0 η cross section below s = 2 GeV
journal, June 2019

Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium
journal, February 2013

Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops
journal, November 2019

Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
journal, August 2002

Precision of a data-driven estimate of hadronic light-by-light scattering in the muon $g - 2$ : Pseudoscalar-pole contribution
journal, September 2016

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

Improved predictions for of the muon and
journal, May 2007

Single meson contributions to the muon’s anomalous magnetic moment
journal, August 2014