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.

arXiv comment40 pages, 13 figures, minor corrections

References in corpus (35)

• R-parity violating supersymmetry
• GUTs and Exceptional Branes in F-theory - I
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Bounds on R-parity Violating Couplings at the Weak Scale and at the GUT Scale
• Neutrinoless Double Beta Decay and Physics Beyond the Standard Model
• Lectures on F-theory compactifications and model building
• T-Branes and Monodromy
• ATLAS Run 1 searches for direct pair production of third-generation squarks at the Large Hadron Collider
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• The R-Parity Violating Minimal Supergravity Model
• Particle Physics Implications of F-theory
• Flavor Hierarchy From F-theory
• Unification and Fermion Mass Structure
• Models of Particle Physics from Type IIB String Theory and F-theory: A Review
• Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
• On hypercharge flux and exotics in F-theory GUTs
• Froggatt-Nielsen models from E8 in F-theory GUTs
• Flavor Structure in F-theory Compactifications
• The Point of E_8 in F-theory GUTs
• Minimal Supersymmetric $SU(4)\times SU(2{)}_L\times SU(2{)}_R$
• Family symmetries in F-theory GUTs
• Matter wave functions and Yukawa couplings in F-theory Grand Unification
• Aspects of Flavour and Supersymmetry in F-theory GUTs
• Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses
• The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
• Up-type quark masses in SU(5) F-theory models
• Yukawa couplings and fermion mass structure in F-theory GUTs
• Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
• Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification
• Wavefunctions and the Point of E8 in F-theory
• Yukawa hierarchies at the point of $E_8$ in F-theory
• Discrete Family Symmetry from F-Theory GUTs
• Fitting fermion masses and mixings in F-theory GUTs
• Precision Unification and Proton Decay in F-Theory GUTs with High Scale Supersymmetry

Cited by in corpus (7)

• Unified Models of Neutrinos, Flavour and CP Violation
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• Neutron-antineutron oscillations beyond the quasi-free limit
• Phenomenology with F-theory SU(5)
• $n$-$\bar{n}$ oscillations and the neutron lifetime
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
• Vectorlike Particles, $Z^{\prime }$ and Yukawa Unification in F-theory inspired $E_6$