The New Minimal Supersymmetric GUT: Spectra, RG analysis and fermion fits

The supersymmetric SO(10) GUT based on the 21 circle plus 10 circle plus 120 circle plus 126 circle plus (126) over bar Higgs system provides a minimal framework for the emergence of the R-parity exact MSSM at low energies and a viable supersymmetric seesaw explanation for the observed neutrino masses and mixing angles. We present formulae for MSSM decomposition of the superpotential invariants, tree level light charged fermion effective Yukawa couplings. Weinberg neutrino mass generation operator, and the d = 5, Delta B = Delta L not equal 0 effective superpotential in terms of GUT parameters. We use them to determine its of the 18 available fermion mass-mixing data in terms of the superpotential parameters of the NMSGUT and SUGRY (NUHM) type soft super-symmetry breaking parameters ({m ((f) over bar).m(1/2), A(0). M-H.(H) over bar(2)) specified at the MSSM one-loop unification scale M-x(0) = 10(16.33) GeV. Our fits are compatible with electroweak symmetry breaking and Unification constraints and yield right-handed neutrino masses in the leptogenesis relevant range: 10(8)-10(13) GeV. Matching the SM data requires lowering the strange and down quark Yukawas in the MSSM via large tan beta driven threshold corrections and characteristic soft Susy breaking spectra. The standard model Higgs mass emerges less than 130 GeV. The Susy spectra have light pure Bino LSP. heavy exotic Higgs(inos) and large mu. A(0). M-H.(H) over bar similar to 100 TeV. Typically third generation sfermions are much heavier than the first two generations. The smuon is often the lightest charged sfermion thus offering a Bino CDM co-annihilation channel. The parameter sets obtained are used to calculate B violation rates which are found to be generically much faster (similar to 10(-28) yr(-1)) than the current experimental limits. Improvements which may allow acceptable B violation rates are identified. (C) 2011 Elsevier B.V. All rights reserved.