R-Parity violation in F-Theory

TL;DR

This paper analyzes R-parity violating operators in F-theory GUT models, classifying allowed operators, computing their couplings, and comparing with experimental bounds to identify potential observable effects.

Contribution

It provides a comprehensive classification of RPV operators in F-theory models and explicit calculations of their couplings considering flux effects.

Findings

Certain RPV operators are compatible with current experimental bounds.

Operators like $LLe^c$, $LQd^c$, and $u^cd^cd^c$ could be on the edge of observability.

Lepton number violation and neutron-antineutron oscillations could constrain these models.

Abstract

We discuss R-parity violation (RPV) in semi-local and local F-theory constructions. We first present a detailed analysis of all possible combinations of RPV operators arising from semi-local F-theory spectral cover constructions, assuming an $SU(5)$ GUT. We provide a classification of all possible allowed combinations of RPV operators originating from operators of the form $10\cdot \bar 5\cdot \bar 5$, including the effect of $U(1)$ fluxes with global restrictions. We then relax the global constraints and perform explicit computations of the bottom/tau and RPV Yukawa couplings, at an $SO(12)$ local point of enhancement in the presence of general fluxes subject only to local flux restrictions. We compare our results to the experimental limits on each allowed RPV operator, and show that operators such as $LLe^c$, $LQd^c$ and $u^cd^cd^c$ may be present separately within current bounds, possibly on the edge of observability, suggesting lepton number violation or neutron-antineutron oscillations could constrain F-theory models.