BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System

Abstract

The generic Hidden Local Symmetry (HLS) model has given rise to the BHLS${}_2$ variant which introduces symmetry breaking in the vector meson sector; the central mechanism is a modification of the covariant derivative at the root of the HLS approach. However, the description of the Belle $\tau$ dipion spectra is not satisfactory whereas the dealing with its annihilation sector ($e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}/{\pi }^{+}{\pi }^{-}{\pi }^0/{\pi }^0\gamma /\eta \gamma /K^{+}{K}^{-}/K_L{K}_S$) is optimum. This issue is solved by an additional breaking term allowing to include the $[{\pi }^0,\eta ,{\eta }^{\prime }]$ system. This extension of the usual 't~Hooft determinant term only affects the BHLS${}_2$ kinetic energy term. One obtains a fair account for the $\tau$ dipion spectra as well as for the annihilation channels. The Belle dipion spectrum provides evidence for a violation of CVC in the $\tau$ lepton decay; this evidence is strengthened by imposing the conditions $<0|J_{\mu }^q|[q^{\prime }\overline{q^{\prime }}](p)>=i{p}_{\mu }{f}_q{\delta }_{q{q}^{\prime }},\{[q\overline{q}],q=u,d,s\}$ on BHLS${}_2$ axial current matrix elements. BHLS${}_2$ is found to recover the usual (completed) formulae for the [${\pi }^0,\eta ,{\eta }^{\prime }$] mixing parameters and the global fits return mixing parameter values in agreement with expectations and better uncertainties. Updating the muon HVP, one argues that the strong tension between the KLOE and BaBar pion form factors imposes to provide two solutions : $a_{\mu }^{HVP-LO}(\mathrm{KLOE})=687.31\pm 2.93$ and $a_{\mu }^{HVP-LO}(\mathrm{BaBar})=692.36\pm 2.95$, in units of $10^{-10}$, rather than some combination of these. Taking into account common systematics, their differences with the experimental BNL-FNAL average value exhibit significances $>5.4\sigma$ (KLOE) and $>4.1\sigma$ (BaBar) with fit probabilities favoring the former.

Version accepted for publication in EPJ C

References in corpus (69)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• The Muon g-2
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Complete Tenth-Order QED Contribution to the Muon g-2
• Mixing and Decay Constants of Pseudoscalar Mesons
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Remarks on higher-order hadronic corrections to the muon g-2
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Quark structure of pseudoscalar mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Large N_c in chiral perturbation theory
• Precise measurement of the e+ e- to pi+ pi- (gamma) cross section with the Initial State Radiation method at BABAR
• On the 1/N expansion in chiral perturbation theory
• Measurement of the ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to {\pi }^{+}{\pi }^{-}$ Cross Section between 600 and 900 MeV Using Initial State Radiation
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Radiative return at NLO and the measurement of the hadronic cross-section in electron-positron annihilation
• Precision measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma )$ and determination of the ${\pi }^{+}{\pi }^{-}$ contribution to the muon anomaly with the KLOE detector
• Spectroscopy at B-factories Using Hard Photon Emission
• A sum rule approach to the violation of Dashen's theorem
• Twisted mass lattice QCD
• Muon g-2 Theory: the Hadronic Part
• Study of the eta-eta' system in the two mixing angle scheme
• An Update of the HLS Estimate of the Muon g-2
• 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
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Dispersive analysis of the pion transition form factor
• Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle
• Isospin Violation and the Magnetic Moment of the Muon
• Radiative tau decay and the magnetic moment of the muon
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• Pion Pair Production with Higher Order Radiative Corrections in Low Energy e+e- Collisions
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• 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
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• The eta transition form factor from space- and time-like experimental data
• Implications of eta-etaprime mixing for the decay eta->3 pi
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Flavor-singlet meson decay constants from $N_f=2+1+1$ twisted mass lattice QCD
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• Study of the process $e^{+}{e}^{-}\to K^{+}{K}^{-}$ in the center-of-mass energy range 1010--1060~MeV with the CMD-3 detector
• Measuring the FSR--inclusive pi+pi- cross section
• Precision Measurement of the Hadronic Contribution to the Muon Anomalous Magnetic Moment
• VMD, the WZW Lagrangian and ChPT: The Third Mixing Angle
• Hidden Local Symmetry for Anomalous Processes with Isospin/SU(3) Breaking Effects
• SU(3) breaking and Hidden Local Symmetry
• The pion vector form factor from Lattice QCD at the physical point
• Simulation of electron-positron annihilation into hadrons with the event generator PHOKHARA
• Mixing of pseudoscalar mesons and isospin symmetry breaking
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• A Global Treatment Of VMD Physics Up To The phi: II. tau Decay and Hadronic Contributions To g-2
• Vector meson dominance and the rho meson
• Decay phi->pi+pi-
• 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
• Photon radiation in $e^{+}{e}^{-}\to$ hadrons at low energies with CARLOMAT 3.1
• ChPT calculations of pion formfactors

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• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
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