Reevaluation of the hadronic contributions to the muon g−2 and to α (M²_Z)

2010/10/31 by M. Davier, Michel Davier, Andreas Hoecker +5 · 27 citations
Physics and Astronomy · #Anomalous magnetic dipole moment #Coupling (piping) #Electroweak interaction #Hadron #Higgs boson #High-Energy Particle Collisions Research #Muon #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sigma #Standard Model (mathematical formulation) #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-010-1515-z

published as Eur.Phys.J.C71:1515,2011 · 13 pages, 10 figures, v2 corrected missing KKpi contribution in Delta alpha_had(MZ) evaluation

openalex publication_date 2011/01/01 · arxiv created 2011/10/25 · arxiv updated 2011/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We reevaluate the hadronic contributions to the muon magnetic anomaly, and to the running of the electromagnetic coupling constant at the Z-boson mass. We include new π + π − cross-section data from KLOE, all available multi-hadron data from BABAR, a reestimation of missing low-energy contributions using results on cross sections and process dynamics from BABAR, a reevaluation of all experimental contributions using the software package HVPTools together with a reanalysis of inter-experiment and inter-channel correlations, and a reevaluation of the continuum contributions from perturbative QCD at four loops. These improvements lead to a decrease in the hadronic contributions with respect to earlier evaluations. For the muon g−2 we find lowest-order hadronic contributions of (692.3±4.2)⋅10−10 and (701.5±4.7)⋅10−10 for the e + e −-based and τ-based analyses, respectively, and full Standard Model predictions that differ by 3.6σ and 2.4σ from the experimental value. For the e + e −-based five-quark hadronic contribution to α(M_Z²) we find \varDelta α_had⁽⁵⁾(M_Z²) =(274.9±1.0)⋅10^-4 . The reduced electromagnetic coupling strength at M Z leads to an increase by 12 GeV in the central value of the Higgs boson mass obtained by the standard Gfitter fit to electroweak precision data.

Citations

• Measurement of σ(e+e−→π+π−γ) and extraction of σ(e+e−→π+π−) below 1 GeV with the KLOE detector
• Precise Measurement of thee+e−→π+π−(γ)Cross Section with the Initial State Radiation Method atBABAR
• Improved predictions for g−2 of the muon and αQED(MZ2)
• Four pion final states with tagged photons at electron positron colliders
• Study of thee+e−→π+π−π0process using initial state radiation withBABAR
• Final report of the E821 muon anomalous magnetic moment measurement at BNL
• Revisiting the global electroweak fit of the Standard Model and beyond with Gfitter
• Weak-Interaction Corrections to the Muon Magnetic Moment and to Muonic-Atom Energy Levels
• Review of Particle Physics
• Measurements of the cross sections for e+e−→hadrons at 3.650, 3.6648, 3.773 GeV and the branching fraction for ψ(3770)→non-DD¯

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