Supersymmetric Higgs mediated lepton flavor violation at a photon collider

We study a new signature of lepton flavor violation (LFV) at the photon collider within supersymmetric theories. We consider the minimal supersymmetric standard model within a large tan beta scenario with all superpartner masses in the O(TeV) while the heavy Higgs bosons masses lie below the TeV and develop sizable loop induced LFV couplings to the leptons. We consider a photon collider based on an e(+)e(-) linear collider with root s = 800 GeV with the parameters of the TESLA proposal and show that, with the expected integrated gamma gamma luminosity L-gamma gamma = 200-500 fb(-1), the "mu tau fusion'' mechanism is the dominant channel for the process gamma gamma -> mu tau b (b) over bar providing detailed analytical and numerical studies of the signal and backgrounds. We impose on the parameter space present direct and indirect constraints from B physics and rare LFV tau decays and find that the LFV signal can be probed for masses of the heavy neutral Higgs bosons A, H from 300 GeV up to the kinematical limit similar or equal to 600 GeV for 30 <= tan beta <= 60.