Chiral Perturbation Theory for $τ\to ρπν_τ$, $τ\to K^* πν_τ$, and $τ\to ωπν_τ$

Abstract

We use heavy vector meson $SU(2)_L \times SU(2)_R$ chiral perturbation theory to predict differential decay distributions for $τ\rightarrow ρπν_τ$ and $τ\rightarrow K^* πν_τ$ in the kinematic region where $p_V \cdot p_π/m_V$ (here $V = ρ$ or $K^*$) is much smaller than the chiral symmetry breaking scale. Using the large number of colors limit we also predict the rate for $τ\rightarrow ωπν_τ$ in this region (now $V = ω$). 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