Chiral Perturbation Theory for $\tau \to \rho \pi {\nu }_{\tau }$, $\tau \to K^{\ast }\pi {\nu }_{\tau }$, and $\tau \to \omega \pi {\nu }_{\tau }$

Abstract

We use heavy vector meson $SU(2{)}_L\times SU(2{)}_R$ chiral perturbation theory to predict differential decay distributions for $\tau \to \rho \pi {\nu }_{\tau }$ and $\tau \to K^{\ast }\pi {\nu }_{\tau }$ in the kinematic region where $p_V\cdot p_{\pi }/m_V$ (here $V=\rho$ or $K^{\ast }$) is much smaller than the chiral symmetry breaking scale. Using the large number of colors limit we also predict the rate for $\tau \to \omega \pi {\nu }_{\tau }$ in this region (now $V=\omega$). Comparing our prediction with experimental data, we determine one of the coupling constants in the heavy vector meson chiral Lagrangian.

14 pages, latex 2e. We include the decay of the tau into the omega, pi minus and the tau neutrino, and extract a value for the coupling constant g2, using experimental data

References in corpus (4)

• Chiral Perturbation Theory for Vector Mesons
• Heavy Hadron Chiral Perturbation Theory
• Measurement of Cabibbo Suppressed Decays of the $\tau$ Lepton
• Pseudoscalar Mass Effects in Decays of Taus with Three Pseudoscalar Mesons

Cited by in corpus (13)

• Tau Decays and Chiral Perturbation Theory
• Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays
• Vector Meson Masses in Chiral Perturbation Theory
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Comment on $V_{ub}$ from Exclusive Semileptonic B and D Decays
• Some implications of meson dominance in weak interactions
• VMD description of $\tau \to (\omega ,\varphi ){\pi }^{-}{\nu }_{\tau }$ decays and the $\omega -\varphi$ mixing angle
• Chiral Corrections to Vector Meson Decay Constants
• CP Violation in Hadronic tau Decays
• HQET and Exclusive B Decays
• Second-class current effects from isospin breaking in tau-->omega pi nu_tau
• Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory
• The Decay $D^0\to {\bar{K}}^{\ast 0}{\pi }^{-}{e}^{+}{\nu }_e$ in the Context of Chiral Perturbation Theory