Gauging MSSM global symmetries and SUSY breaking in de Sitter vacuum

TL;DR

This paper explores a supersymmetry breaking model with a tunable positive cosmological constant, linking a gauged shift symmetry of a string modulus to Standard Model global symmetries, with implications for phenomenology and matter parity.

Contribution

It identifies a gauged shift symmetry with a Standard Model global symmetry, analyzing its role in SUSY breaking and cosmological constant tuning, and discusses phenomenological consequences.

Findings

The model achieves SUSY breaking with a positive cosmological constant.

A specific symmetry combination ensures matter parity and suppresses dangerous operators.

Phenomenological implications for Baryon and Lepton number conservation.

Abstract

We elaborate on a recent study of a model of supersymmetry breaking we proposed recently, in the presence of a tunable positive cosmological constant, based on a gauged shift symmetry of a string modulus, external to the Standard Model (SM) sector. Here, we identify this symmetry with a global symmetry of the SM and work out the corresponding phenomenology. A particularly attracting possibility is to use a combination of Baryon and Lepton number that contains the known matter parity and guarantees absence of dimension-four and five operators that violate B and L.