Friday, March 29, 2013

1303.7178 (Ferruccio Feruglio et al.)

S4 and CP in a SUSY Model    [PDF]

Ferruccio Feruglio, Claudia Hagedorn, Robert Ziegler
We present a supersymmetric model with a flavour symmetry S4 x Z3 and a CP symmetry which are broken to Z3' in the charged lepton sector and Z2 x CP in the neutrino one at leading order. This model implements an approach, capable of predicting lepton mixing angles and Dirac as well as Majorana phases in terms of one free parameter. This parameter, directly related to the size of the reactor mixing angle, can be naturally of the correct order in our model. Atmospheric mixing is maximal, while the sine squared of the solar angle is larger than 1/3. All three phases are predicted: the Dirac phase is maximal, whereas the two Majorana phases are trivial. The neutrino mass matrix only contains three different real parameters at leading order and the neutrino masses effectively only depend on two of them. As a consequence, they have to be normally ordered and the model predicts the absolute neutrino mass scale and the sum of the neutrino masses. We study the main subleading corrections to the leading order results and show that they are in general small.
View original: http://arxiv.org/abs/1303.7178

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