Tracing CP-violation in Lepton Flavor Violating muon decays

Although the Lepton Flavor Violating (LFV) decay μ+→e+γ is forbidden in the Standard Model (SM), it can take place within various theories beyond the SM. If the branching ratio of this decay saturates its present bound [i.e., Br(μ+→e+γ) ∼ 10-11], the forthcoming experiments can measure the branching ratio with high precision and consequently yield information on the sources of LFV. In this paper, we show that for polarized μ+, by studying the angular distribution of the transversely polarized positron and linearly polarized photon we can derive information on the CP-violating sources beyond those in the SM. We also study the angular distribution of the final particles in the decay μ+→e+1e-e+2 where e+1 is defined to be the more energetic positron. We show that transversely polarized e1+ can provide information on a certain combination of the CP-violating phases of the underlying theory which would be lost by averaging over the spin of e+1