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Hadronic Structure in the Decay $\tau^{-}\to \pi^{-}\pi^{0}\nu_{\tau}$
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We report on a study of the invariant mass spectrum of the hadronic system in the decay tau- -> pi- pi0 nu_tau. This study was performed with data obtained with the CLEO II detector operating at the CESR e+ e- collider. We present fits to phenomenological models in which resonance parameters associated with the rho(770) and rho(1450) mesons are determined. The pi- pi0 spectral function inferred from the invariant mass spectrum is compared with data on e+ e- -> pi+ pi- as a test of the Conserved Vector Current theorem. We also discuss the implications of our data with regard to estimates of the hadronic contribution to the muon anomalous magnetic moment.
Forward citations
Cited by 8 Pith papers
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Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints
The isovector D/D*/B/B* electromagnetic form factors are reconstructed dispersively with ππ rescattering, yielding ρ(770) coupling constants from pole residues.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.
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Revisit of the electromagnetic correction to $\tau\to\pi\pi\nu_\tau$ and its implication for muon $g-2$ based on $\tau$ data
Including scalar contributions to the omega->pi0 pi0 gamma fit revises G_EM(t); with the new correction, tau data give a_mu^HVP,LO(pi pi) = 516.0e-10 and a 2.7 sigma muon g-2 discrepancy.
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The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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Compatibility between $e^+e^-$ and $\tau$ decay data in the di-pion channel and implications for $a_\mu^\mathrm{SM}$ and CVC tests
Updated isospin-breaking corrections bring tau decay data into agreement with the new CMD-3 e+e- result, supporting a tau-based hadronic vacuum polarization estimate that reduces the muon g-2 tension to 2.7 sigma.
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Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data
Tau data give an independent, lattice-compatible value for the intermediate-window hadronic vacuum polarization, disagreeing with the e+e- data-driven value that drives the muon g-2 tension.
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
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The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
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