The New Minimal Supersymmetric GUT : Spectra, RG analysis and Fermion Fits

Abstract

The supersymmetric SO(10) GUT based on the $210\oplus 10\oplus 120\oplus 126\oplus \overline{126}$ 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 $d=5,\Delta B=\Delta L\ne 0$ 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 ($\{m_{\tilde{f}},m_{1/2},A_0,M_{H,\bar{H}}^2\}$) 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 Susy spectra have light pure Bino LSP, heavy exotic Higgs(inos) and large $\mu ,A_0,M_{H,\bar{H}}$ parameters $\sim 100$ TeV. Typically third generation sfermions are much \emph{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($\sim 10^{-28}y{r}^{-1}$) than the current experimental limits. Improvements which may allow acceptable B violation rates are identified.

Latex2e, 45 pages, 4 Appendices, 14 Tables. This is the final merged version of hep-ph/0612021 AND 0807.0917 and is identical with the version to be published in Nuclear Physics B. The fits have been updated in the light of LHC 1Fb^-1 data. Calculational details and plots omitted in this published version can be found in the previous arXiv versions

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Cited by in corpus (47)

• Fits to SO(10) Grand Unified Models
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• Yukawa Sector of Minimal SO(10) Unification
• Minimal SO(10) splits supersymmetry
• GUT Physics in the era of the LHC
• GUT predictions for quark-lepton Yukawa coupling ratios with messenger masses from non-singlets
• Resurrecting Minimal Yukawa Sector of SUSY SO(10)
• B-L Violating Nucleon Decay and GUT Scale Baryogenesis in SO(10)
• Baryon Stability on the Higgs Dissolution Edge : Threshold corrections and suppression of Baryon violation in the NMSGUT
• Flavour physics without flavour symmetries
• Order and Anarchy hand in hand in 5D SO(10)
• Pseudo-Goldstone Dark Matter in $SO(10)$
• Flavor Hierarchies from Clockwork in SO(10) GUT
• Confronting SUSY SO(10) with updated Lattice and Neutrino Data
• Supersymmetric Seesaw Inflation
• Flavour symmetries in a renormalizable SO(10) model
• A Grand Unified Parity Solution to Strong CP Problem
• Minimal spontaneous CP-violating GUT and predictions for leptonic CP phases
• Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)
• Proton decay in a supersymmetric SO(10) model with missing partner mechanism
• An Analysis of B-L=-2 Operators from Matter-Higgs Interactions in a Class of Supersymmetric SO(10) Models
• NMSGUT-III: Grand Unification upended
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• Grand Yukawonification : SO(10) grand unified theories with dynamical Yukawa couplings
• Compressed and Split Spectra in Minimal SUSY SO(10)
• A Renormalizable Supersymmetric SU(5) Model
• Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY $\mathsf{SO}(10)$ and HL-LHC implications
• Fixed Points in Supersymmetric Extensions of the Standard Model
• Neutrino Sector and Proton Lifetime in a Realistic SUSY SO(10) Model
• Topological pseudodefects of a supersymmetric $SO(10)$ model and cosmology
• Couplings in Renormalizable Supersymmetric SO(10) Models
• A renormalizable supersymmetric SO(10) model with natural doublet-triplet splitting
• Effects of supersymmetric threshold corrections on the Yukawa matrix unification
• Quantum corrections and the minimal Yukawa sector of $SU(5)$
• NMSGUT emergence and Trans-Unification RG flows
• Proton decay suppression in a supersymmetric SO(10) model
• A renormalizable supersymmetric SO(10) model
• A Stronger Case for Superunification Post Higgs Boson Discovery
• On the Seesaw Scale in Supersymmetric SO(10) Models
• Bajc-Melfo Vacua enable YUMGUTs
• Examining A Renormalizable Supersymmetric SO(10) Model
• Effective Sextic Superpotential and $B-L$ violation in NMSGUT
• A realistic pattern of fermion masses from a five-dimensional SO(10) model
• Susy Seesaw Inflation and NMSO(10)GUT
• Goldstone Modes in Renormalizable Supersymmetric SO(10) Model
• Primordial black holes from D-parity breaking in SO(10) grand unified theory
• Goldstone Modes and Clebsch-Gordan Coefficients