  To explain the small neutrino masses, heavy Majorana neutrinos are introduced
in the left-right twin Higgs model. The heavy neutrinos, together with the
charged scalars and the heavy gauge bosons, may contribute large mixings
between the neutrinos and the charged leptons, which may induce some distinct
lepton flavor violating processes. We will check the \bar \ell_i \ell_j (i,j=
e,\mu,\tau,i\neq j) productions in the \gamma\gamma collision in the left-right
twin Higgs model, and find that the production rates may be large in some
specific parameter space, in the optimal cases even possible to be detected
with reasonable kinematical cuts. we have also shown that these collisions can
constrain effectively the model parameters such as the Higgs vacuum expectation
value and the right-handed neutrino mass, etc., and may serve as a sensitive
probe of this new physics model.
