paper

MSGUT : From Bloom to Doom

arXiv:hep-ph/0512224 · doi:10.1016/j.nuclphysb.2006.07.030

Abstract

By a systematic survey of the parameter space we confirm our surmise\cite{gmblm} that the Minimal Supersymmetric GUT(MSGUT) based on the Higgs system is incompatible with the generic Type I and Type II seesaw mechanisms. The incompatibility of the Type II seesaw mechanism with this MSGUT is due to its generic extreme sub-dominance with respect to the Type I contribution. The Type I mechanism although dominant over Type II is itself unable to provide Neutrino masses larger than eV anywhere in the parameter space. Our Renormalization Group based analysis shows the origin of these difficulties to lie in a conflict between baryon stability and neutrino oscillation. The MSGUT completed with a {\bf{120}}-plet Higgs is the natural next to minimal candidate. We propose a scenario where the {\bf{120}}-plet collaborates with the {\bf{10}}-plet to fit the charged fermion masses. The freed {\bf{126}}-plet couplings can then give sub-dominant contributions to charged fermion masses {\textit{and}} enhance the Type I seesaw masses sufficiently to provide a viable seesaw mechanism. We give formulae required to verify this scenario.

34 pages, Graphical presentation of results compressed and improved with 15 eps figures included in the body of paper. Additional references, discussion and a Note added on confirmatory work

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