Tau Radiative Decays in the Light Front Quark Model

We study the decays of ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}\gamma (P={\pi }^{-},K^{-})$ in the light front quark model. We calculate the form factors and use them to evaluate the decay widths. We find that, in the standard model, the decay widths are $1.62\times 10^{-2} (3.86\times10^{-3}) \Gamma_{\tau^- \to \nu_{\tau} \pi^-}$and$1.91\times 10^{-3} (5.38\times 10^{-4}) \Gamma_{\tau^- \to \nu_{\tau} K^-}$withthecutsof$E_{\gamma}=50 (400)$MeVand$t_{0}=800 (1200)$MeVfor$\tau^- \to \nu_{\tau} \pi^- \gamma$and$\tau^- \to \nu_{\tau} K^- \gamma$, respectively. We also show that with including the radiative decay widths, the experimental rate for ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ can be explained.