Search for Lepton Flavor Violating tau^- Decays into l^-eta, l^-eta' and l^-pi^0

Abstract

We have searched for lepton flavor violating $τ$ decays with a pseudoscalar meson ($η$, $η&#39;$ and $π^0$) using a data sample of 401 fb$^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider. No evidence for these decays is found and we set the following upper limits on the branching fractions: ${\cal{B}}(τ^-\to e^-η) < 9.2\times 10^{-8}$, ${\cal{B}}(τ^-\to μ^-η) < 6.5\times 10^{-8}$, ${\cal{B}}(τ^-\to e^-η&#39;) < 1.6\times 10^{-7}$, ${\cal{B}}(τ^-\to μ^-η&#39;) < 1.3\times 10^{-7}$ ${\cal{B}}(τ^-\to e^-π^0) < 8.0\times 10^{-8}$ and ${\cal{B}}(τ^-\to μ^-π^0) < 1.2\times 10^{-7}$ at the 90% confidence level, respectively. These results improve the previously published limits by factors from 2.3 to 6.4.