PROBING LEPTON FLAVOR VIOLATION AT FUTURE COLLIDERS

Supersymmetric theories with significant lepton flavor violation have (e) over tilde and <(mu) over tilde> nearly degenerate. In this case, pair production of (e) over tilde(+)(e) over tilde(-) and <(mu)over ti lde>(+)<(mu)over tilde>(-) at LEP n and at the Next Linear Collider (N LC) leads to the phenomenon of slepton oscillations, which is analogou s to neutrino oscillations. The reach in Delta m(2) and sin(2) 2 theta gives a probe of lepton flavor violation which is significantly more powerful than the current bounds from rare processes, such as mu --> e gamma. Polarizable e(-) beams and the e(-)e(-) mode at the NLC are fo und to be promising options.