Lepton Flavor Violating Decays as Probes of Neutrino Mass Spectra and Heavy Majorana Neutrino Masses

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We investigate the lepton flavor violating (LFV) rare decays in the supersymmetric minimal seesaw model in which the Frampton-Glashow-Yanagida ansatz is incorporated. The branching ratio of $μ\to e γ$ is calculated in terms of the Snowmass Points and Slopes (SPS). We find that the inverted mass hierarchy is disfavored by all SPS points. In addition, once the ratio of BR$(τ\to μγ)$ to BR$(μ\to e γ)$ is measured, one may distinguish the normal and inverted neutrino mass hierarchies, and confirm the masses of heavy right-handed Majorana neutrinos by means of the LFV processes and the thermal leptogenesis mechanism. It is worthwhile to stress that this conclusion is independent of the supersymmetric parameters.
12 pages, 5 figures, 1 table. Comments and references added, accepted for publication in Phys. Rev. D

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