Precision measurement of the hadronic contribution to the muon anomalous magnetic moment

Xiao, T.; Dobbs, S.; Tomaradze, A.; Seth, Kamal K.; Bonvicini, G.

doi:10.1103/PhysRevD.97.032012

Title: Precision measurement of the hadronic contribution to the muon anomalous magnetic moment

Abstract

We report on a precision measurement of the cross section for the reaction e⁺e^- → π⁺π^- in the mass range 0.30 < M_ππ < 1.00 GeV / c² with the initial state radiation (ISR) method, using 817 pb^-1 of data at e⁺e^- center-of-mass energies near 3.77 GeV and 586 pb^-1 of data at e⁺e^- center-of-mass energies near 4.17 GeV, collected with the CLEO-c detector at the CESR e⁺e^- collider at Cornell University. The integrated cross sections in the range 0.30 < M_ππ < 1.00 GeV / c² for the process e⁺e^- → π⁺π^- are determined with a statistical uncertainty of 0.7% and a systematic uncertainty of 1.6%. The leading-order hadronic contribution to the muon anomalous magnetic moment calculated using these measured e⁺e^- → π⁺π^- cross sections in the range M_ππ = 0.30 to 1.00 GeV / c² is calculated to be ( 500.6 ± 3.6 (stat) ± 8.0 (syst)) × 10^-10.

Authors:: Xiao, T.; Dobbs, S.; Tomaradze, A.; Seth, Kamal K.; Bonvicini, G.

Publication Date:: Tue Feb 27 00:00:00 EST 2018

Research Org.:: Northwestern Univ., Evanston, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1422865

Alternate Identifier(s):: OSTI ID: 1498950

Grant/Contract Number:: FG02-87ER40344

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Xiao, T., Dobbs, S., Tomaradze, A., Seth, Kamal K., and Bonvicini, G. Precision measurement of the hadronic contribution to the muon anomalous magnetic moment.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.032012.

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                    Xiao, T., Dobbs, S., Tomaradze, A., Seth, Kamal K., & Bonvicini, G. Precision measurement of the hadronic contribution to the muon anomalous magnetic moment.  United States.  https://doi.org/10.1103/PhysRevD.97.032012

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                    Xiao, T., Dobbs, S., Tomaradze, A., Seth, Kamal K., and Bonvicini, G. Tue .  
"Precision measurement of the hadronic contribution to the muon anomalous magnetic moment".  United States.  https://doi.org/10.1103/PhysRevD.97.032012.

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@article{osti_1422865,

  title        = {Precision measurement of the hadronic contribution to the muon anomalous magnetic moment},

  author       = {Xiao, T. and Dobbs, S. and Tomaradze, A. and Seth, Kamal K. and Bonvicini, G.},

  abstractNote = {We report on a precision measurement of the cross section for the reaction e+e- → π+π- in the mass range 0.30 < Mππ < 1.00 GeV / c2 with the initial state radiation (ISR) method, using 817 pb-1 of data at e+e- center-of-mass energies near 3.77 GeV and 586 pb-1 of data at e+e- center-of-mass energies near 4.17 GeV, collected with the CLEO-c detector at the CESR e+e- collider at Cornell University. The integrated cross sections in the range 0.30 < Mππ < 1.00 GeV / c2 for the process e+e- → π+π- are determined with a statistical uncertainty of 0.7% and a systematic uncertainty of 1.6%. The leading-order hadronic contribution to the muon anomalous magnetic moment calculated using these measured e+e- → π+π- cross sections in the range Mππ = 0.30 to 1.00 GeV / c2 is calculated to be ( 500.6 ± 3.6 (stat) ± 8.0 (syst)) × 10-10.},

  doi          = {10.1103/PhysRevD.97.032012},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 97,

  place        = {United States},

  year         = {Tue Feb 27 00:00:00 EST 2018},

  month        = {Tue Feb 27 00:00:00 EST 2018}

}

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We present a detailed analysis of e⁺e^- → π⁺π^- data up to $ \sqrt{s}=1 $ GeV in the framework of dispersion relations. Starting from a family of ππ P-wave phase shifts, as derived from a previous Roy-equation analysis of ππ scattering, we write down an extended Omnès representation of the pion vector form factor in terms of a few free parameters and study to which extent the modern high-statistics data sets can be described by the resulting fit function that follows from general principles of QCD. We find that statistically acceptable fits do become possible as soon as potential uncertainties in the energy calibration are taken into account, providing a strong cross check on the internal consistency of the data sets, but preferring a mass of the ω meson significantly lower than the current PDG average. In addition to a complete treatment of statistical and systematic errors propagated from the data, we perform a comprehensive analysis of the systematic errors in the dispersive representation and derive the consequences for the two-pion contribution to hadronic vacuum polarization. In a global fit to both time- and space-like data sets we find a^ππ_μ|_{≤ 1 GeV} = 495.0(1.5)(2.1) × 10^-10 and a^ππ_μ|_{≤ 0.63 GeV} = 132.8(0.4)(1.0) × 10^-10. While the constraints are thus most stringent for low energies, we obtain uncertainty estimates throughout the whole energy range that should prove valuable in corroborating the corresponding contribution to the anomalous magnetic moment of the muon. As side products, we obtain improved constraints on the ππ P-wave, valuable input for future global analyses of low-energy ππ scattering, as well as a determination of the pion charge radius,more »« less
Cited by 268
https://doi.org/10.1007/jhep02(2019)006

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Measurement of absolute hadronic branching fractions of D mesons and e{sup +}e{sup -}{yields}DD cross sections at the {psi}(3770)

Journal Article Dobbs, S ; Metreveli, Z ; Seth, K K ; ... - Physical Review. D, Particles Fields

Using 281 pb{sup -1} of e{sup +}e{sup -} collisions recorded at the {psi}(3770) resonance with the CLEO-c detector at CESR (Cornell Electron Storage Ring), we determine absolute hadronic branching fractions of charged and neutral D mesons using a double tag technique. Among measurements for three D{sup 0} and six D{sup +} modes, we obtain reference branching fractions B(D{sup 0}{yields}K{sup -}{pi}{sup +})=(3.891{+-}0.035{+-}0.059{+-}0.035)% and B(D{sup +}{yields}K{sup -}{pi}{sup +}{pi}{sup +})=(9.14{+-}0.10{+-}0.16{+-}0.07)%, where the first uncertainty is statistical, the second is all systematic errors other than final-state radiation (FSR), and the third is the systematic uncertainty due to FSR. We include FSR in these branchingmore »« less
https://doi.org/10.1103/PHYSREVD.76.112001

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Title: Precision measurement of the hadronic contribution to the muon anomalous magnetic moment

Abstract

Citation Formats

THE FULL ELECTROWEAK STANDARD MODEL PREDICTION FOR (g - 2) OF THE MUON AND IMPROVEMENTS ON THE MSSM PREDICTION journal, January 2014

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

Finite-Width Corrections to the Vector-Meson-Dominance Prediction for ρ → e + e − journal, July 1968

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

Review of Particle Physics journal, October 2016

Generalized Renormalizable Gauge Formulation of Spontaneously Broken Gauge Theories journal, November 1972

Study of the process e + e − → π+π− in the energy region $$400 < \sqrt s < 1000 MeV^\P $$ journal, December 2005

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

The EvtGen particle decay simulation package journal, April 2001

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

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

Event generator for J / ψ and ψ ( 2 S ) decay journal, June 2000

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

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops journal, February 2015

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

Spin asymmetries and correlations in Λ -pair production through the radiative return method journal, April 2007

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

Measurement of absolute hadronic branching fractions of D mesons and e + e − → D D ¯ cross sections at the ψ ( 3770 ) journal, December 2007

Electroweak Hadronic Contributions to the muon g −2 journal, November 2002

The muon g−2 journal, June 2009

Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e + e −→π + π − cross section data from BABAR journal, February 2010

Update of the e + e − → π+π− cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV journal, September 2006

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

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

Electroweak Corrections to the Muon Anomalous Magnetic Moment journal, April 1996

Erratum: Refinements in electroweak contributions to the muon anomalous magnetic moment [Phys. Rev. D 67 , 073006 (2003)] journal, June 2006

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

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

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

THE FULL ELECTROWEAK STANDARD MODEL PREDICTION FOR (g - 2) OF THE MUON AND IMPROVEMENTS ON THE MSSM PREDICTION
journal, January 2014

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

Finite-Width Corrections to the Vector-Meson-Dominance Prediction for $ρ \to e^{+} e^{-}$
journal, July 1968

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

Review of Particle Physics
journal, October 2016

Generalized Renormalizable Gauge Formulation of Spontaneously Broken Gauge Theories
journal, November 1972

Study of the process e + e − → π+π− in the energy region $$400 < \sqrt s < 1000 MeV^\P $$
journal, December 2005

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

The EvtGen particle decay simulation package
journal, April 2001

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

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

Event generator for $J / ψ$ and $ψ (2 S)$ decay
journal, June 2000

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

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops
journal, February 2015

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

Spin asymmetries and correlations in $Λ$ -pair production through the radiative return method
journal, April 2007

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

Measurement of absolute hadronic branching fractions of $D$ mesons and $e^{+} e^{-} \to D \bar{D}$ cross sections at the $ψ (3770)$
journal, December 2007

Electroweak Hadronic Contributions to the muon g −2
journal, November 2002

The muon g−2
journal, June 2009

Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e + e −→π + π − cross section data from BABAR
journal, February 2010

Update of the e + e − → π+π− cross section measured by the spherical neutral detector in the energy region 400 < √s < 1000 MeV
journal, September 2006

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

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

Electroweak Corrections to the Muon Anomalous Magnetic Moment
journal, April 1996

Erratum: Refinements in electroweak contributions to the muon anomalous magnetic moment [Phys. Rev. D 67 , 073006 (2003)]
journal, June 2006

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

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

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