Msgut Reborn ?
Abstract
Description
We present examples of fits of fermion mass data using the $\mathbf{10-120-\oot}$ FM Higgs system in Susy SO(10) GUTs that follow the scenario\cite{blmdoom,nmsgutI} in which the $\mathbf{120}$ -plet collaborates with the $ \mathbf{10}$-plet to fit the charged fermion masses while small $\mathbf{\oot} $-plet couplings enhance the Type I seesaw neutrino masses to viable values and make the fit to light fermions accurate. Restricting ourselves to the CP conserving case we use a linear perturbative technique to obtain accurate charged fermion fits ($χ^2_{tot} < .2 $) to all the charged fermion masses and angles. The resulting fits imply Type I neutrino masses that are generically $10^2- 10^3$ times larger than those obtained in the $\mathbf{10-\oot}$ scenario precisely because of the small $\mathbf{\oot} $ coupling. Thus the difficulty of obtaining sufficiently large neutrino masses in the context of these Next to Minimal Susy GUTs is essentially removed. The remaining free parameters allow one to obtain the correct ratio of neutrino mass squared splitting and a large($θ_{23}^{PMNS}$) and small($θ_{13}^{PMNS}$) mixing angle. The $θ_{12}^{PMNS}$ is however small and this indicates that -as in the Type I $\mathbf{10-\oot}$ case - a fully realistic fit to the lepton mixing data also \emph{requires} CP violation.
Typos corrected, coefficient notation simplified slightly
Typos corrected, coefficient notation simplified slightly