Tracing CP-violation in Lepton Flavor Violating muon decays

Although the Lepton Flavor Violating (LFV) decay mu(+) -> e(+) gamma is forbidden in the Standard Modle (SM), it can take place within various theories beyond the SM. If the brancing ratio of this decay saturates its present bound [i.e., Br (mu(+)-> e(+) gamma) similar to 10(-11)], the forthocoming experiments can measure the branching ratio with high precision and consequently yield informaton on the sources of LFV. In this paper, we show that for polarized mu(+), by studying the angular distribution of the transversely polarized positron and linearly polarized photon we can derive informaton on the CP-violating sources beyond those in the SM. We also study the angular distribution of the final particles in the decay mu(+)-> e(1)(+) e(-) e(2)(+) where e(+) is defined to be the more energetic positron. We show that transversely polarized e(1)(+) can provide informaton on a certain combination of the CP-violating phases of the underlying theory which would be lost by averaging over the spain of e(1)(+).