# Investigating multiple solutions to boundary value problems in constrained minimal and non-minimal SUSY models

## TL;DR

This paper explores the mathematical conditions leading to multiple solutions in boundary value problems within constrained SUSY models, analyzing their implications for model exclusion and physical validity.

## Contribution

It derives criteria for the emergence of multiple solutions in MSSM and NMSSM boundary value problems and assesses their impact on the exclusion of the CMSSM.

## Key findings

- Multiple solutions can occur under specific mathematical conditions.
- The validity of CMSSM exclusion is affected by the presence of multiple solutions.
- Criteria for solution multiplicity are established for SUSY models.

## Abstract

We investigate the physical origins of multiple solutions to boundary value problems in the fully constrained MSSM and NMSSM. We derive mathematical criteria that formulate circumstances under which multiple solutions can appear. Finally, we study the validity of the exclusion of the CMSSM in the presence of multiple solutions.