Perturbative Unitarity Constraints on a Supersymmetric Higgs Portal

TL;DR

This paper derives upper bounds on particle masses in the NMSSM Higgs sector using perturbative unitarity constraints, linking theoretical limits to dark matter relic abundance and providing a more rigorous approach than naturalness arguments.

Contribution

It introduces a method applying perturbative unitarity constraints to the NMSSM, establishing mass bounds and replacing naturalness with more rigorous theoretical limits.

Findings

Upper bound of 12 TeV for charginos and neutralinos.

Upper bound of 20 TeV for heavy Higgses.

Method links unitarity constraints with dark matter relic abundance.

Abstract

We place perturbative unitarity constraints on both the dimensionful and dimensionless couplings in the Next-to-Minimal Supersymmetric Standard Model Higgs Sector. These constraints, plus the requirement that the singlino and/or Higgsino constitutes at least part of the observed dark matter relic abundance, generate upper bounds on the Higgs and neutralino/chargino mass spectrum. We obtain an upper bound of 12 TeV for the charginos and neutralinos and 20 TeV for the heavy Higgses outside defined fine-tuned regions. By using the NMSSM as a template, we describe a method which replaces naturalness arguments with more rigorous perturbative unitarity arguments to get a better understanding of when new physics will appear.