R-Parity violation in F-Theory

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 $LL{e}^c$, $LQ{d}^c$ and $u^c{d}^c{d}^c$ 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.

40 pages, 13 figures, minor corrections

References in corpus (8)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Lectures on F-theory compactifications and model building
• T-Branes and Monodromy
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Unification and Fermion Mass Structure
• Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
• Yukawa couplings and fermion mass structure in F-theory GUTs
• Discrete Family Symmetry from F-Theory GUTs

Cited by in corpus (3)

• Neutron-antineutron oscillations beyond the quasi-free limit
• Phenomenology with F-theory SU(5)
• Vectorlike Particles, $Z^{\prime }$ and Yukawa Unification in F-theory inspired $E_6$