An SO(10) model with adjoint fermions for double seesaw neutrino masses

Details An SO(10) model with adjoint fermions for double seesaw neutrino masses An SO(10) model with adjoint fermions for double seesaw neutrino masses

2010-12-13

arxiv.org/abs/1012.2715v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 figure

Scientific paper

An $SO(10)$ model where the $10_H$ and $120_H$ representations are used for generating fermion masses is quite predictive, though due to the absence of $SU(2)_{L,R}$ triplet/singlet fields it cannot give rise to neutrino masses through the usual type-I or type-II seesaw mechanisms. In this paper for neutrino masses we propose an extension of such an $SO(10)$ model by adding fermions in the adjoint representation (${45}_F$) and a symmetry breaking scalar $\bar{16}_H$. The $\bar{16}_H$ couples the adjoint fermions to the standard fermions in ${16}_F$ and induces neutrino masses through the `double seesaw' mechanism. In order to enhance the predictivity of the model we impose $\mu-\tau$ flavour symmetry on the Yukawa matrices for $10_H$ and $\bar{16}_H$ whereas for the $120_H$ it is assumed to be antisymmetric. We discuss the conditions that the mass matrices must obey so that the model can reproduce the tri-bimaximal mixing pattern.

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