  A deep inerastic scattering process \mutau is discussed to study lepton
flavor violation between muons and tau leptons. In supersymmetric models, the
Higgs boson mediated diagrams could be important for this reaction. We find
that at a muon energy ($E_{\mu}$) higher than 50 GeV, the predicted cross
section significantly increases due to the contribution from sea $b$-quarks.
The number of produced tau leptons can be $\mathcal{O}(10^4)$ at $E_{\mu}$= 300
GeV from $10^{20}$ muons, whereas $\mathcal{O}(10^2)$ events are given at
$E_{\mu}= 50$ GeV.
