Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates

Abstract

The muon anomalous magnetic moment $a_{\mu }$ 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 $(a_{\mu }{)}_{th}$. Among these, the most conservative solution is $a_{\mu }^{\mathrm{had},\mathrm{LO}}[\mathrm{HLS}\mathrm{improved}]=687.72(4.63)\times 10^{-10}$ and $(a_{\mu }{)}_{th}=11659175.37(5.31)\times 10^{-10}$ corresponding to a $4.1\sigma$ significance for the difference $\Delta a_{\mu }=(a_{\mu }{)}_{exp}-(a_{\mu }{)}_{th}$. 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 the BKY mechanism. This yields a quite satisfactory simultaneous description of most $e^{+}{e}^{-}$ annihilation channels up to and including the $\varphi$ meson (${\pi }^{+}{\pi }^{-}$, ${\pi }^0\gamma$, $\eta \gamma$, ${\pi }^{+}{\pi }^{-}{\pi }^0$, $K^{+}{K}^{-}$, $K^0{\bar{K}}^0$) and of a set of 10 (mostly radiative) decay widths of light mesons. It also allows to achieve the proof of consistency between the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ annihilation and the $τ^\pm \ra π^\pmπ^0 ν$ decay and gives a solution to the reported problem concerning the measured partial width ratio $\Gamma (\varphi \to K^{+}{K}^{-})/\Gamma (\varphi \to K^0{\bar{K}}^0)$. Prospects for improving the VMD based estimates of $a_{\mu }$ are emphasized.

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

References in corpus (68)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• The Muon g-2
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Review of lattice results concerning low energy particle physics
• Hadronic contributions to $(g-2)$ of the leptons and to the effective fine structure constant $\alpha (M_Z^2)$
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Quark structure of pseudoscalar mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Precise measurement of the e+ e- to pi+ pi- (gamma) cross section with the Initial State Radiation method at BABAR
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• On the 1/N expansion in chiral perturbation theory
• High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
• rho^0-gamma mixing in the neutral channel pion form factor |F_pi|^2 and its role in comparing e^+ e^- with tau spectral functions
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• High-Statistics Study of the tau^- -> pi^- pi^0 nu_tau Decay
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e+e- -> pi+pi- cross section data from BABAR
• The Discrepancy Between tau and e+e- Spectral Functions Revisited and the Consequences for the Muon Magnetic Anomaly
• Hadronic Structure in the Decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$
• Status of the Fermilab Muon (g-2) Experiment
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• The hadronic contribution to (g-2) of the muon
• Isospin Violation and the Magnetic Moment of the Muon
• Radiative tau decay and the magnetic moment of the muon
• Measurements of the parameters of the $\varphi (1020)$ resonance through studies of the processes $e^{+}{e}^{-}\to K^{+}{K}^{-}$, $K_S{K}_L$ and ${\pi }^{+}{\pi }^{-}{\pi }^0$
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ below 0.98 GeV
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Radiative corrections to $b\to cτ\batν_τ$
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ from 0.98 to 1.38 GeV.}
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• Constraints on the momentum dependence of rho-omega mixing
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Implications of eta-etaprime mixing for the decay eta->3 pi
• Study of the Processes e+ e- --> eta gamma, e+ e- --> pi0 gamma --> 3 gamma in the c.m. Energy Range 600--1380 MeV at CMD-2
• Experimental study of the e+e- -> pi0 gamma process in the energy region sqrt(s)=0.60-0.97 GeV
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Analysis of rho-omega interference in the pion form-factor
• Study of the Process e+ e- ---> eta gamma in c.m. Energy Range 600-1380 MeV at CMD-2
• Measurement of e+e- -> phi -> K+K- cross section with the CMD-2 detector at VEPP-2M Collider
• Electromagnetic form factor of the pion
• Effects of Symmetry Breaking on the Strong and Electroweak Interactions of the Vector Nonet
• VMD, the WZW Lagrangian and ChPT: The Third Mixing Angle
• Theoretical precision in estimates of the hadronic contributions to (g-2)_mu and alpha_QED(M_Z)
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• Effective Chiral Lagrangians with an SU(3)-Broken Vector-Meson Sector
• Reanalysis of the $e^{+}{e}^{-}\to \eta \gamma$ reaction cross section
• Hidden Local Symmetry for Anomalous Processes with Isospin/SU(3) Breaking Effects
• Models of Isospin Breaking in the Pion Form Factor: Consequences for the Determination of Pi_{ρω}(m_rho^2) and (g-2)_mu/2
• SU(3) breaking and Hidden Local Symmetry
• Tenth-Order Lepton Anomalous Magnetic Moment -- Sixth-Order Vertices Containing Vacuum-Polarization Subdiagrams
• The ratio Phi->K+K-/K0K0bar
• Study of the radiative decay $\varphi \to \eta \gamma$ with CMD-2 detector
• Study of isospin violating $\varphi$ excitation in $e^{+}{e}^{-}\to \omega {\pi }^0$
• A Global Treatment Of VMD Physics Up To The phi: II. tau Decay and Hadronic Contributions To g-2
• Decay phi->pi+pi-
• Vector meson dominance and the rho meson
• Quark masses in QCD: a progress report
• A precise new KLOE measurement of $|F_{\pi }{|}^2$ with ISR events and determination of $\pi \pi$ contribution to $a_{\mu }$ for $0.592<M_{\pi \pi }<0.975$ GeV
• Measurement of $\varphi$(1020) meson leptonic width with CMD-2 detector at VEPP-2M Collider
• Near-threshold Isospin Violation in the Pion Form Factor from Chiral Perturbation Theory

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