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Radiative tau decay and the magnetic moment of the muon

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arxiv hep-ph/0207310 v2 pith:E24FFX2U submitted 2002-07-25 hep-ph

V. Cirigliano , G. Ecker , H. Neufeld This is my paper · ORCID
classification hep-ph
keywords correctionsmodeldecaymagneticmomentmuononlyphoton-inclusive
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We discuss the decay tau^- -> nu_tau pi^- pi^0 gamma in terms of a model with the correct low-energy structure and with the relevant resonance degress of freedom. The nontrivial radiative dynamics becomes visible for large photon momenta only. We use the model to calculate electromagnetic corrections for the two-pion contribution to hadronic vacuum polarization extracted from photon-inclusive two-pion decays. The corrections are insensitive to the details of the model and depend on the pion form factor only. Putting all relevant isospin violating corrections together, we obtain a shift Delta a_mu = (- 120 +/- 26 +/- 3) x 10^-11 to be applied to determinations of the anomalous magnetic moment of the muon from photon-inclusive tau data.

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Pion $\beta$ decay and $\tau\to\pi\pi\nu_\tau$ beyond leading logarithms

    hep-ph 2026-02 conditional novelty 7.0 of 10

    Pion β decay and τ→ππν short-distance radiative corrections are matched at NLL accuracy with evanescent-scheme dependence cancelled, giving Δ_RC^{πℓ}=0.03403(11) and a τ-HVP isospin-breaking shift of −0.07(4)×10^-10.

  2. Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

    hep-lat 2026-07 unverdicted novelty 6.0 of 10

    A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.

  3. Isospin-violating vacuum polarization in the muon $(g-2)$ with SU(3) flavour symmetry from lattice QCD

    hep-lat 2025-05 conditional novelty 6.0 of 10

    First lattice QCD determination of the isospin-violating (3,8) hadronic vacuum polarization contribution to muon (g-2), giving 2 aµ^{HVP,38} = 21.8(3.1) × 10^{-11} at Mπ=MK≈416 MeV.

  4. Data-based form factor corrections between the two-pion $\tau$ and $e^+e^-$ spectral functions

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A data-only extraction of the charged versus neutral rho mass and width differences gives a total isospin-breaking correction of -(12.2 +/- 3.4) x 10^-10 to the tau-based hadronic vacuum polarization contribution to t...

  5. Revisit of the electromagnetic correction to $\tau\to\pi\pi\nu_\tau$ and its implication for muon $g-2$ based on $\tau$ data

    hep-ph 2025-10 conditional novelty 5.0 of 10

    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.

  6. The anomalous magnetic moment of the muon in the Standard Model: an update

    hep-ph 2025-05 accept novelty 5.0 of 10

    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}.

  7. CP violation studies at Super Tau-Charm Facility

    hep-ex 2025-02 conditional novelty 4.0 of 10

    A future Super Tau-Charm Facility is projected to test CP violation in hyperon, tau, and charm decays at 1e-4 to 1e-3 sensitivities and improve the kaon CPT mass-difference limit tenfold.

  8. Compatibility between $e^+e^-$ and $\tau$ decay data in the di-pion channel and implications for $a_\mu^\mathrm{SM}$ and CVC tests

    hep-ph 2024-11 conditional novelty 4.0 of 10

    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.

  9. Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data

    hep-ph 2024-11 conditional novelty 3.0 of 10

    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.

  10. Lepton anomalous magnetic moments: Theory

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.

  11. Radiative corrections to one- and two-meson tau decays for precise new physics tests

    hep-ph 2024-11 conditional novelty 2.0 of 10

    Improved radiative corrections bring the pion tau-decay ratio into one-sigma agreement with lepton universality and sharpen CKM-unitarity and non-standard-interaction constraints.

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