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

The supersymmetric SO(10) GUT based on the 210⊕10⊕120⊕126⊕126¯ 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, ΔB=ΔL≠0 effective superpotential in terms of GUT parameters. We use them to determine fits of the 18 available fermion mass-mixing data in terms of the superpotential parameters of the NMSGUT and SUGRY (NUHM) type soft supersymmetry breaking parameters ({mf˜,m1/2,A0,MH,H¯2}) specified at the MSSM one-loop unification scale MX0=1016.33GeV. Our fits are compatible with electroweak symmetry breaking and Unification constraints and yield right-handed neutrino masses in the leptogenesis relevant range: 108-1013GeV. Matching the SM data requires lowering the strange and down quark Yukawas in the MSSM via large tanβ 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 μ, A0, MH,H¯ parameters ∼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 (∼10−28yr−1) than the current experimental limits. Improvements which may allow acceptable B violation rates are identified.