Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core

Abstract

The recent failure of the scenario which uses only $\mathbf{10,\oot}$ Higgs multiplets to yield large enough neutrino masses in the $\mathbf{SO}(10)$ \textbf{MSGUT} motivates an alternative scenario\cite{blmdoom} where the $120$ -plet collaborates with the $10$ -plet to fit the dominant charged fermion masses. The small $\mathbf{\oot} $ -plet couplings give appreciable contributions only to light charged fermion masses {\textit{and}} enhance the Type I seesaw masses to viable values. We analyze the 2-3 generation core of the complete hierarchical fermion mass system in the CP conserving approximation. \emph{Ansatz} consistency \emph{requires} ${\mathbf{m}}_{\mathbf{b}}-{\mathbf{m}}_{\mathbf{s}}={\mathbf{m}}_{\tau }-{\mathbf{m}}_{\mu }$ at the GUT scale $M_X$ and predicts near maximal (PMNS) mixing in the leptonic sector for central values of charged fermion parameters and for wide ranges of the other relevant parameters : righthanded neutrino masses and relative strength of contributions of the two doublet pairs from the $120$-plet to the effective MSSM Higgs pair. These features are preserved in the CP preserving 3 generation system whose results are previewed : an additional consistency requirement ${\theta }_{13}^{\mathbf{c}}={\theta }_{12}^{\mathbf{c}}{\theta }_{23}^{\mathbf{c}}$ on the CKM angles at $M_X$ arises for 3 generations. Right handed neutrino masses in such scenarios are all less than about $10^{12}GeV$.

27 pages, 7 postscript figures

References in corpus (3)

• MSGUT : From Bloom to Doom
• Fermion mass relations in a supersymmetric SO(10) theory
• MSGUTs from Germ to Bloom : towards Falsifiability and Beyond

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