skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review D

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.

Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-87ER40344
OSTI ID:
1422865
Alternate ID(s):
OSTI ID: 1498950
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 3; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (32)

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
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:mo stretchy="false">)</mml:mo></mml:math> from threshold to 0.85 GeV2 using initial state radiation with the KLOE detector journal June 2011
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
Precision 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:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and determination of the <mml:math altimg="si2.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:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> contribution to the muon anomaly with the KLOE detector journal March 2013
Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium journal February 2013
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:math> and extraction of <mml:math altimg="si2.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:mo stretchy="false">)</mml:mo></mml:math> below 1 GeV with the KLOE detector journal January 2005
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
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
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

Cited By (1)

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

Similar Records

B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider
Journal Article · Tue May 22 00:00:00 EDT 2012 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1422865

Resonant and non-resonant hadron production in the upsilon region
Thesis/Dissertation · Sat Jan 01 00:00:00 EST 1983 · OSTI ID:1422865

Total cross section for electron-positron annihilation into hadron final states in the upsilon energy region
Journal Article · Sun Apr 01 00:00:00 EST 1984 · Phys. Rev. D; (United States) · OSTI ID:1422865