Inflation and Leptogenesis in SUSY Left-Right Model and its Conjecture about b - τ Unification

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We present a leptogenesis scenario through the decay of heavy triplets following smooth hybrid inflation within a moderate extension of the left-right supersymmetric gauge group SU(2)L × SU(2)R × U(1)B-L. Baryon number conservation and the solution of the μ-problem are provided by additional symmetries. All the right handed neutrinos are heavier than inflatons. Then we have studied neutrino mass matrix generated by the triplet VEVs having the parameters constrained by leptogenesis and inflation scenario and found that the production of the required lepton asymmetry of the universe is not only right enough to be consistent with the neutrino mass and mixing angles predicted by the recent data but also can provide an estimate of b - τ unification in the context of a minimal susy SO(10) model.

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