Lepton-flavor violation in the left-handed slepton production at future lepton colliders

The Super-Kamiokande atmospheric neutrino data suggest the existence of a large lepton-flavor violating (LFV) interaction in the higher energy scale. If the minimal supersymmetric standard model is extended to have right-handed neutrinos, the left-handed sleptons in the second and third generations are expected to have LFV masses in the minimal supergravity scenario. In this article we study the LFV signals in the left-handed slepton production at (Formula presented) colliders and (Formula presented) linear colliders (LC’s), (Formula presented) and (Formula presented). The main background comes from decay of a tau lepton into a muon in the lepton-flavor conserving slepton pair production. They are significantly reduced by the energy and the impact parameter cuts for the muon. At (Formula presented) colliders (LC’s) it may be possible to reach the mixing angle (Formula presented) and the mass difference (Formula presented) GeV for sneutrinos in the second and third generations at the statistical significance of (Formula presented). Such a small mass difference and a mixing angle may be induced radiatively even if the Yukawa coupling constant for the tau neutrino is of the order of 0.1.