Upgraded breaking of the HLS model: a full solution to the τ−e + e − and ϕ decay issues and its consequences on g−2 VMD estimates

2011/06/30 by M. Benayoun, P. David, L. DelBuono +1 · 1 citation
Mathematics · Physics and Astronomy · #Annihilation #Anomalous magnetic dipole moment #Consistency (knowledge bases) #Discrete mathematics #Hadron #High-Energy Particle Collisions Research #Mathematics #Meson #Muon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Radiative transfer #hep-ex #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-011-1848-2

97 pages, 13 figures accepted for Publication in Eur. Phys. Journ. C

arxiv created 2011/12/12 · openalex publication_date 2012/01/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The muon anomalous magnetic moment a μ and the hadronic vacuum polarization are examined using data analyzed within the framework of a suitably broken HLS model. The analysis relies on all available scan data samples and leaves provisionally aside the existing ISR data. Our HLS model based global fit approach allows for a better check of consistency between data sets and we investigate how results depend on different strategies which may be followed. Relying on global fit qualities, we find several acceptable solutions leading to ambiguities in the reconstructed value for (a μ )th. Among these, the most conservative solution is a_μ^had,LO[HLS improved]=687.72(4.63) ×10^-10 and (a μ )th=11 659 175.37(5.31)×10−10 corresponding to a 4.1σ significance for the difference Δa μ =(a μ )exp−(a μ )th. It is also shown that the various contributions accessible through the model yield uniformly a factor 2 improvement of their uncertainty. The breaking procedure implemented in the HLS model is an extension of the former procedure based on a mechanism defined by Bando, Kugo and Yamawaki (BKY). This yields a quite satisfactory simultaneous description of most e + e − annihilation channels up to and including the ϕ meson (π + π −, π 0 γ, ηγ, π + π − π 0, K + K −, K⁰ K⁰ ) and of a set of 10 (mostly radiative) decay widths of light mesons. It also allows to achieve the proof of consistency between the e + e −→π + π − annihilation and the τ ±→π ± π 0 ν decay and gives a solution to the reported problem concerning the measured partial width ratio \varGamma(φ→ K⁺K^-)/\varGamma(φ→ K⁰ K⁰) . Prospects for improving the VMD based estimates of a μ are emphasized.

Citations

• Radiative decays, nonet symmetry, and SU(3) breaking
• Review of Particle Physics
• Precise Measurement of thee+e−→π+π−(γ)Cross Section with the Initial State Radiation Method atBABAR
• Implications of ηη′ mixing for the decay η → 3π
• Models of isospin breaking in the pion form factor: Consequences for the determination ofΠρω(mρ2)and(g−2)μ/2
• Vector meson dominance and the ρ meson
• Global aspects of current algebra
• Constraints on the momentum dependence of rho-omega mixing
• SU(3) breaking and hidden local symmetry
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Final report of the E821 muon anomalous magnetic moment measurement at BNL
• Status of the Fermilab muon ( g − 2) experiment
• Review of Particle Physics
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Review of Particle Physics

Cited by

• Radiative seesaw model with degenerate Majorana dark matter