$\mu \to e\gamma$ from Supersymmetry without R parity

Abstract

Starting from the new sources of $LL$- and $LR$- scalar (slepton) mixings due to R-parity violation, we discuss the structure of lepton-flavor violation focusing on the radiative decay of muon into electron. Using an optimal parametrization, we give the general formulae for the one-loop contributions. from which we discuss all combinations of R-parity violating parameters having possibly a substantial contribution to the $\mu \to e\gamma$ decay width. An exact numerical study is performed to obtain explicit bounds on the parameters under the present experimental limit. The most interesting one involves a combination of bilinear and trilinear couplings.

Comments: 36 pages Revtex with 10 eps- figure files incoporated; minor modifications with more results included in Table III and a compressed conclusion section. Proof-read version to be published in Phys.Rev.D