Article ID Journal Published Year Pages File Type
10720680 Nuclear Physics B 2012 14 Pages PDF
Abstract
Following the recent T2K indication of a sizeable reactor angle, we present a class of models which fix θ13 while preserving trimaximal solar mixing. The models are based on a new type of constrained sequential dominance involving new vacuum alignments, along the (1,2,0)T or (1,0,2)T directions in flavour space. We show that such alignments are easily achieved using orthogonality, and may replace the role of the subdominant flavon alignment (1,1,1)T in constrained sequential dominance. In such models, with a normal hierarchical spectrum, the reactor angle is related to a ratio of neutrino masses by θ13=23m2νm3ν, leading to θ13∼5°-6°, while the atmospheric angle is given by the sum rule θ23≈45°+2θ13cosδ. We find that leptogenesis is unsuppressed due to the violation of form dominance and that the CP violating phase responsible for leptogenesis is precisely equal to the Dirac CP phase δ, providing a direct link between leptogenesis and neutrino mixing in this class of models.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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