An Analysis of B-L=-2 Operators from Matter-Higgs Interactions in a Class of Supersymmetric SO(10) Models

Abstract

Recently interest in GUT baryogenesis has been resurrected due to the observation that B-violating dimension seven operators that arise in grand unified theories that also violate B-L produce baryon asymmetry that cannot be wiped out by sphaleron processes. While a general analysis of such higher dimensional operators from a bottom up approach exists in the literature, a full analysis of them derived from grand unification does not exist. In this work we present a complete analysis of B-L=-2 operators within a realistic SO(10) grand unification where the doublet-triplet splitting is automatic via a missing partner mechanism. Specifically we compute all allowed dimension five, dimension seven and dimension nine operators arising from matter-Higgs interactions. The relative strength of all the allowed B-L=-2 operators is given. Such interactions are useful in the study of neutrino masses, baryogenesis, proton decay and $n-\bar{n}$ oscillations within a common realistic grand unification framework.

30 pages. Accepted for publication in PRD

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Cited by in corpus (8)

• Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY $\mathsf{SO}(10)$ and HL-LHC implications
• Couplings in Renormalizable Supersymmetric SO(10) Models
• High Energy Physics and Cosmology at the Unification Frontier: Opportunities and Challenges in the coming years
• A Stronger Case for Superunification Post Higgs Boson Discovery
• Effective Sextic Superpotential and $B-L$ violation in NMSGUT
• Using C++ to Calculate $\mathsf{SO}(10)$ Tensor Couplings
• Goldstone Modes in Renormalizable Supersymmetric SO(10) Model
• Goldstone Modes and Clebsch-Gordan Coefficients