Radiative two-pion decay of the tau lepton

Abstract

We consider the bremsstrahlung and model-dependent contributions to the radiative decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ in the context of a meson dominance model. We focus on several observables related to this decay, including the branching ratio and the photon and di-pion spectra. Particular attention is paid to the sensitivity of different observables upon the effects of model-dependent contributions and of the magnetic dipole moment of the ${\rho }^{-}(770)$ vector meson. Important numerical differences are found with respect to results obtained in the framework of chiral perturbation theory.

14 pages, 8 figures, submitted for publication

References in corpus (24)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Effective Field Theory Description of the Pion Form Factor
• Stable Calculations for Unstable Particles: Restoring Gauge Invariance
• Isospin Violation and the Magnetic Moment of the Muon
• Radiative tau decay and the magnetic moment of the muon
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• The hadronic off-shell width of meson resonances
• Finite Width Effects and Gauge Invariance in Radiative $W$ Production and Decay
• The fermion-loop scheme for finite-width effects in e^+ e^- annihilation into four fermions
• Electromagnetic form factors of light vector mesons
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• Exclusive diffractive processes and the quark substructure of mesons
• Determination of the Delta++ magnetic dipole moment
• Elastic and radiative pi^+p scattering and properties of the Delta^{++} resonance
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Behaviour of the Absorptive Part of the W Electromagnetic Vertex
• Magnetic moment of the rho-meson in QCD sum rules: perturbative corrections
• Dipole Moments of the Rho Meson
• Gauge invariance and finite width effects in radiative two-pion tau lepton decay
• Magnetic moment of the (rho) meson in light cone QCD
• Effects of the magnetic dipole moment of charged vector mesons in their radiative decay distribution
• Vector-meson magnetic dipole moment effects in radiative tau decays
• Beyond the soft photon approximation in radiative production and decay of charged vector mesons

Cited by in corpus (19)

• 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
• Long-distance radiative corrections to the di-pion tau lepton decay
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Bounding resonant Majorana neutrinos from four-body B and D decays
• The weak radiative pion vertex in τ^- ->π^-ν_τl^+ l^- decays
• Model-dependent radiative corrections to tau- -> pi- pi0 nu revisited
• Remarks on the Standard Model predictions for $R(D)$ and $R(D^{\ast })$
• Lepton-number-violating decays of heavy flavors induced by doubly-charged Higgs boson
• Triple-product asymmetry in the radiative two-pion tau decay
• Lepton-pair production in di-pion $\tau$ lepton decays
• Evaluation of CKM matrix elements from exclusive $P_{\ell 4}$ decays
• Role of the $\rho (1450)$ in low-energy observables from an analysis in the meson dominance approach
• 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
• Radiative corrections of $O(\alpha )$ to $B^{-}\to V^0{\ell }^{-}{\bar{\nu }}_{\ell }$ decays
• Recent progress on isospin breaking corrections and their impact on the muon g-2 value
• Hadronic and radiative decays of the tau lepton
• ${\tau }^{-}\to {\pi }^{-}\eta {\nu }_{\tau }$ decay induced by QED one-loop effects
• Electromagnetic corrections in hadronic tau decays
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays