The Theory of R-parity, Unification and SUSY at the LHC

TL;DR

This paper explores gauge theories that conserve R-parity in supersymmetry, predicting spontaneous R-parity breaking at the TeV scale and discussing potential signals at the LHC, with implications for grand unified theories.

Contribution

It introduces a minimal B-L gauge symmetry-based theory predicting R-parity breaking at TeV energies and discusses its experimental signatures at the LHC.

Findings

R-parity is predicted to be spontaneously broken at the TeV scale.

Theories with local baryon and lepton number breaking at the SUSY scale are presented.

Potential signals of R-parity violation at the LHC are analyzed.

Abstract

The simplest gauge theories for the conservation of R-parity in supersymmetry are discussed. We show how the minimal theory based on the B-L gauge symmetry predicts that R-parity must be spontaneously broken at the TeV scale. The most striking signals of these theories at the Large Hadron Collider are discussed. We present a realistic theory where the local baryon and lepton numbers are spontaneously broken at the supersymmetry breaking scale. The possibility to understand the conservation of R-parity in grand unified theories defined in four dimensions is mentioned.