Solving the Hierarchy Problem with a Light Singlet and Supersymmetric Mass Terms

TL;DR

This paper explores an extended NMSSM model with explicit nd small supersymmetric mass terms, demonstrating it can naturally produce a Higgs mass up to 145 GeV with light superpartners and satisfy collider constraints.

Contribution

It introduces a generalized NMSSM with explicit nd singlet mass terms, enabling higher Higgs masses without fine-tuning and consistent collider phenomenology.

Findings

Higgs mass up to 145 GeV achieved at tree level

Light singlet scalars and pseudoscalars compatible with collider constraints

Top squarks below 1.1 TeV sufficient for the model

Abstract

A generalization of the Next-to-Minimal Supersymmetric Model (NMSSM) is studied in which an explicit \mu-term as well as a small supersymmetric mass term for the singlet superfield are incorporated. We study the possibility of raising the Standard Model-like Higgs mass at tree level through its mixing with a light, mostly-singlet, CP-even scalar. We are able to generate Higgs boson masses up to 145 GeV with top squarks below 1.1 TeV and without the need to fine tune parameters in the scalar potential. This model yields light singlet-like scalars and pseudoscalars passing all collider constraints.