Baryon and Lepton Numbers: Life in the Desert

TL;DR

This paper explores theories explaining baryon and lepton number violations, discusses the desert hypothesis, and presents models predicting observable lepton number violation at the LHC.

Contribution

It introduces the BLMSSM model where both baryon and lepton numbers are spontaneously broken at the TeV scale, offering testable predictions.

Findings

Minimal supersymmetric B-L theory predicts lepton number violation at LHC.

The BLMSSM allows simultaneous breaking of B and L at TeV scale.

Scenarios without the desert hypothesis are also considered.

Abstract

The simplest theories where we can understand the origin of the baryon and lepton number violating interactions are discussed. We discuss the desert hypothesis in particle physics and the different scenarios where there is no need to assume it. It is shown that the minimal supersymmetric B-L theory predicts lepton number violation at the Large Hadron Collider if supersymmetry is realized at the low scale. We present the BLMSSM where both symmetries, B and L, can be spontaneously broken at the TeV scale.