Probing the supersymmetry breaking mechanism using renormalisation group invariants

TL;DR

This paper explores how renormalisation group invariants can be used to identify the mechanism of supersymmetry breaking by analyzing patterns in soft parameters, offering a method to distinguish between different scenarios.

Contribution

It introduces sum rules based on RG invariants to test supersymmetry breaking patterns and assess their effectiveness in differentiating scenarios.

Findings

Sum rules can reliably test supersymmetry breaking properties.

Most scenarios can be unambiguously distinguished using these sum rules.

The approach assumes the MSSM accurately describes collider energies.

Abstract

If supersymmetric particles are discovered, an important problem will be to determine how supersymmetry has been broken. At collider energies, supersymmetry breaking can be parameterised by soft supersymmetry breaking parameters. Several mechanisms for supersymmetry breaking have been proposed, which are all characterised by patterns in the high scale values of these parameters. Therefore, looking for such patterns will give us important clues about the way supersymmetry has been broken in Nature. In this master thesis, we study an approach to find these patterns using Renormalisation Group invariants. We construct sum rules that test properties of the spectrum at the scale of supersymmetry breaking, provided that the Minimal Supersymmetric Standard Model is a good description of Nature at collider energies and all soft mass parameters and gauge couplings have been determined. Subsequently, we examine to what extent these sum rules can distinguish between different supersymmetry breaking scenarios. It is found that our sum rules provide unambiguous checks in almost all cases.