Search for lepton-flavor-violating tau decays to $\ell\gamma$ modes at Belle

Lepton-flavor violation (LFV) is forbidden in the standard model but possible in several new physics scenarios. In many of these models, the radiative decays $\tau^{\pm}\rightarrow\ell^{\pm}\gamma$ ($\ell=e,\mu$) are predicted to have the largest probability, making them apt channels to be probed by the Belle experiment. The result of a search for LFV via $\tau^{\pm}\rightarrow\ell^{\pm}\gamma$ using full data of the Belle experiment corresponding to an integrated luminosity of 988 fb$^{-1}$ is reported. No significant excess over standard model background predictions is observed and the upper limits on the branching fraction, $\mathcal{B}(\tau^{\pm}\rightarrow \mu^{\pm}\gamma)$ $\leq$ $4.2\times10^{-8}$ and $\mathcal{B}(\tau^{\pm}\rightarrow e^{\pm}\gamma)$ $\leq$ $5.6\times10^{-8}$, are set at 90% confidence level.