Lepton flavor violation in supersymmetric SO(10) grand unified models

The study for lepton flavor violation combined with neutrino oscillations may provide more information about the lepton flavor structure of the grand unified theory. In this paper, we study two lepton flavor violation processes $\overrightarrow{\tau }\mu \gamma$ and $\overrightarrow{Z}\tau \mu$ in the context of supersymmetric SO(10) grand unified models. We find the first process is detectable in a quite large supersymmetric parameter space if the experimental sensitivity for this process can reach up to $1\times {10}^{-9}.$ The latter process may be important in some supersymmetric parameter space where the former is suppressed. It is especially important in the region with small $\tan \beta$ and large scalar lepton masses. However, it is detectable at Giga-$Z$ option of the Tesla project only when the value of $\tan \beta$ is close to the limit set by the present Higgs boson search experiments.