Variety of SO(10) GUTs with Natural Doublet-Triplet Splitting via the Missing Partner Mechanism

Abstract

We present a new class of unified SO(10) models where the GUT symmetry breaking down to the standard model gauge group involves just one scale, in contrast to the conventional SO(10) models which require two scales. Further, the models we discuss possess a natural doublet-triplet splitting via the missing partner mechanism without fine tuning. Such models involve $560+\ov{560}$ pair of heavy Higgs fields along with a set of light fields. The $560+\ov{560}$ are the simplest representations of SO(10) besides the $126+\ov{126}$ which contain an excess of color triplets over $SU(2{)}_L$ doublets. We discuss several possibilities for realizing the missing partner mechanism within these schemes. With the $126+\ov{126}$ multiplets, three viable models are found with additional fields belonging to $210+2\times 10+120$, $45+10+120$, or ${210 + 16 + \ov{16} + 10 + 120}$. With the $560+\ov{560}$, a unique possibility arises for the missing partner mechanism, with additional $2\times 10+320$ fields. These models are developed in some detail. It is shown that fully realistic fermion masses can arise in some cases, while others can be made realistic by addition of vector--like representations. Naturally large neutrino mixing angles, including sizable ${\theta }_{13}$, can emerge in these models. The couplings of the $H_u(H_d)$ Higgs doublets of the MSSM which give masses to the up quarks (down quarks and leptons) are not necessarily equal at the grand unification scale and would lead to a new phenomenology at the low energy scales.

25 pages, 4 tables

References in corpus (6)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• Missing Partner Mechanism in SO(10) Grand Unification
• A bound on the effective gravitational coupling from semiclassical black holes
• Suppression of Higgsino mediated proton decay by cancellations in GUTs and strings

Cited by in corpus (27)

• Post-LHC7 fine-tuning in the mSUGRA/CMSSM model with a 125 GeV Higgs boson
• Higgs Boson Mass, Proton Decay, Naturalness and Constraints of LHC and Planck Data
• Asymptotically Safe Grand Unification
• Higgs Physics and Supersymmetry
• Electron EDM as a Sensitive Probe of PeV Scale Physics
• Radiative Decays of Cosmic Background Neutrinos in Extensions of MSSM with a Vector Like Lepton Generation
• Large Neutrino Magnetic Dipole Moments in MSSM Extensions
• $\tau \to \mu \gamma$ Decay in Extensions with a Vector Like Generation
• Chromoelectric Dipole Moments of Quarks in MSSM Extensions
• Sparticle Spectroscopy from SO(10) GUT with a Unified Higgs Sector
• Yukawa Unification with Four Higgs Doublets in Supersymmetric GUT
• Towards the minimal renormalizable supersymmetric $E_6$ model
• 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
• Probe of New Physics using Precision Measurement of the Electron Magnetic Moment
• Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY $\mathsf{SO}(10)$ and HL-LHC implications
• The Neutron Electric Dipole Moment and Probe of PeV Scale Physics
• Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models
• A renormalizable supersymmetric SO(10) model with natural doublet-triplet splitting
• Flavor violating leptonic decays of the Higgs boson
• High Energy Physics and Cosmology at the Unification Frontier: Opportunities and Challenges in the coming years
• Tests of gluino-driven radiative breaking of the electroweak symmetry at the LHC
• The Higgs boson mass constraint and the CP even-CP odd Higgs boson mixing in an MSSM extension
• A Stronger Case for Superunification Post Higgs Boson Discovery
• Flavor violating top decays and flavor violating quark decays of the Higgs boson
• A realistic pattern of fermion masses from a five-dimensional SO(10) model
• Using C++ to Calculate $\mathsf{SO}(10)$ Tensor Couplings