Lepton-flavor-violating decays $\overrightarrow{L}l\gamma \gamma$ as a new probe of supersymmetry with broken R parity

Lepton-flavor-violating decays of the type $\overrightarrow{L}l\gamma \gamma$ $(\overrightarrow{\mu }e\gamma \gamma ,$ $\overrightarrow{\tau }e\gamma \gamma ,$ and $\overrightarrow{\tau }\mu \gamma \gamma )$ are proposed as new probes of R-parity-violating supersymmetry. Non-penguin diagrams with a sneutrino that decays into two photons via a triangle graph might trigger such decays even in the absence of the corresponding radiative decays into one photon only, e.g. $\overrightarrow{\mu }e\gamma .$ Thus, processes of the type $\overrightarrow{L}l\gamma \gamma$ may provide an independent probe of new flavor physics.