The New Minimal Supersymmetric GUT : Spectra, RG analysis and fitting formulae

Abstract

The Supersymmetric SO(10) GUT based on the ${\bf{210\oplus 10\oplus 120\oplus 126\oplus {\bar{126}}}}$ Higgs system has 40 real superpotential parameters of which 2 can be fixed by the Light Higgs doublet fine tuning and one by the determination of the unification scale by the RG flow. It provides a minimal framework for the emergence of R-parity exact Supersymmetric Standard Model at low energies and viable supersymmetric seesaw explanation for the observed neutrino masses and mixing angles. We present complete formulae for MSSM decomposition of the superpotential invariants, explicit GUT scale one step spontaneous symmetry breaking down to the MSSM, tree level light charged fermion effective yukawa couplings, Weinberg neutrino mass generation operator, and the complete set of effectve superpotential coefficients of LLLL and RRRR $d=5$ Baryon violating operators(which have contributions from novel \textbf{120}-plet Higgs channels) in terms of GUT superpotential parameters. We survey the gauge RG flow including threshold corrections due to the calculated super heavy particle spectra. The formulae given are used in following papers to determine complete realistic Susy SO(10) GUT fits of all MSSM data.