Neutrino Sector and Proton Lifetime in a Realistic SUSY SO(10) Model

Abstract

In this work I present a full analysis of proton decay in an $SO(10)$ model previously proposed by Dutta, Mimura, and Mohapatra. The $10$, $\overline{126}$, and $120$ Yukawa couplings contributing to fermion masses in this model have well-motivated restrictions on their textures intended to give favorable results for proton lifetime as well as a realistic fermion sector without the need for fine-tuning and for either type-I or type-II dominance in the neutrino mass matrix. I obtain a valid fit for the entire fermion sector for both types of seesaw dominance, including ${\theta }_{13}$ in good agreement with the most recent data. For the case with type-II seesaw, I find that using the Yukawa couplings fixed by the successful fermion sector fit, proton partial lifetime limits are satisfied for nearly every pertinent decay mode, even for nearly arbitrary values of the triplet Higgs mixing parameters, with only the $K^{+}\bar{\nu }$ mode requiring a minor $\mathcal{O}(10^{-1})$ cancellation in order to satisfy the experimental limit. I also find a maximum lifetime for that mode of $\tau (K^{+}\bar{\nu })\sim 10^{36}$ years, which should be tested by eventual experiments. For the type-I seesaw case, I find that all six pertinent decay modes of interest are satisfied for values of the triplet mixing parameters giving no major enhancement, with modes other than $K^{+}\bar{\nu }$ easily satisfied for arbitrary mixing values, and with a maximum lifetime for $K^{+}\bar{\nu }$ of nearly $10^{38}$ years.

51 pages, 9 figures, 7 tables, 1 appendix; v2 - added references in Section I, updated eqs. (18), (20), and (30) for clarity and consistency; v3 - addressed minor concerns from referee, reconsidered timeline for model testing, updated notation in eqs. (39) and (40) for consistency, addressed some formatting difficulties present in previous versions

References in corpus (5)

• Observation of electron-antineutrino disappearance at Daya Bay
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• Different SO(10) Paths to Fermion Masses and Mixings
• Search for dinucleon decay into pions at Super-Kamiokande
• Proton decay and $\mu \to e+\gamma$ Connection in a Renormalizable SO(10) GUT for Neutrinos

Cited by in corpus (6)

• Revisiting fermion mass and mixing fits in the minimal SUSY $SO(10)$ GUT
• Testing Realistic $SO(10)$ SUSY GUTs with Proton Decay and Gravitational Waves
• Flipped SU(5): unification, proton decay, fermion masses and gravitational waves
• Relation between proton decay and PMNS phase in the minimal SUSY $SO(10)$ GUT
• Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)
• Examining A Renormalizable Supersymmetric SO(10) Model