1202.4012 (P. S. Bhupal Dev et al.)

θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor    [PDF]

P. S. Bhupal Dev, Bhaskar Dutta, R. N. Mohapatra, Matthew Severson

In a recent paper, a minimal supersymmetric (SUSY) SO(10) x S_4 based unified
model of flavor for quarks and leptons was proposed with two 10 and one 126
contributing to fermion masses. An important aspect of this model is that
Yukawa couplings emerged dynamically from minimization of the flavon potential,
thereby reducing the number of parameters considerably. We make a detailed
numerical analysis of this model for fermion mixings including SUSY threshold
effects at the TeV scale and type-I corrections to a type-II dominant seesaw
for neutrino masses. This is a single-step breaking model with SUSY SO(10)
broken at the Grand Unified Theory (GUT)-scale of 2x10^{16} GeV to the Minimal
Supersymmetric Standard Model (MSSM). The model has only 11 parameters, and
therefore, the charged fermion fits predict the masses (up to an overall scale)
and mixings in the neutrino sector. We present correlations for the different
predictions in the neutrino mixing parameters. Typically, we find \theta_{13} ~
5 degrees, \theta_{23} > 47 degrees, and \theta_{12} ~ 32 degrees. We also find
that proton decay mode p -> K {\nu}_{\mu} has a partial lifetime of ~ 10^{34}
yrs, which is within reach of the next round of planned proton decay searches.
The successful fit for fermion masses requires the Higgs mass to be between 116
- 128 GeV in this model.

View original: http://arxiv.org/abs/1202.4012