Extracting the CP-violating phases of trilinear R-parity violating couplings from $\mu \to eee$

Abstract

It has recently been shown that by measuring the transverse polarizations of the final particles in ${\mu }^{-}\to e^{-}{e}^{+}{e}^{-}$, it is possible to extract information on the phases of the effective couplings leading to this decay. We examine this possibility within the context of R-parity violating Minimal Supersymmetric Standard Model (MSSM) in which the ${\mu }^{-}\to e^{-}{e}^{+}{e}^{-}$ process can take place at a tree level. We demonstrate how a combined analysis of the angular distribution of the emitted positrons and their transverse polarization can determine the CP-violating phases of the trilinear R-parity violating Yukawa couplings.

Comments: 21 pages, 2 figures; v2: A discussion on the feasibility of measuring the transverse polarization added