The Phenomenological Research on Higgs and dark matter in the Next-to-Minimal Supersymmetric Standard Model

TL;DR

This paper investigates the parameter space of the $Z_3$-invariant NMSSM, exploring how it can simultaneously explain the Higgs signal at 125 GeV and provide a viable dark matter candidate, constrained by recent experimental data.

Contribution

It presents a phenomenological analysis of the NMSSM with two degenerate Higgs bosons near 125 GeV, incorporating experimental constraints to identify viable parameter regions.

Findings

Allowed parameter space features small $b0 b9 b0 b3$ GeV and $ aneta$ between 10 and 20.

Dark matter is Higgsino-dominated due to $|rac{2\u03ba}{}|>1$.

Co-annihilation between $ ilde{}_1^0$ and $ ilde{}_1^\u00b0$ is essential for relic density.

Abstract

The $Z_3$-invariant next-to-minimal supersymmetric standard model (NMSSM) can provide a candidate for dark matter (DM). It can also be used to explain the hypothesis that the Higgs signal observed on the Large Hadron Collider (LHC) comes from the contribution of the two lightest CP-even Higgs bosons, whose masses are near 125 GeV. At present, XENON1T, LUX, and PandaX experiments have imposed very strict restrictions on direct collision cross sections of {dark matter}. In this paper, we consider a scenario that the observed Higgs signal is the superposition of two mass-degenerate Higgs in the $Z_3$-invariant NMSSM and scan the seven-dimension parameter space composing of $\lambda, \kappa, \tan\beta, \mu, A_k, A_t, M_1$ via the Markov chain Monte Carlo (MCMC) method. We find that the DM relic density, as well as the LHC searches for sparticles, especially the DM direct detections, has provided a strong limit on the parameter space. %Please check intended meaning has been retained. The allowed parameter space is featured by a relatively small $\mu \le 300$ GeV and about $\tan\beta\in(10,20)$. In addition, the DM is Higgsino-dominated because of $|\frac{2\kappa}{\lambda}|>1$. Moreover, the co-annihilation between $\tilde{\chi}_1^0$ and $\tilde{\chi}_1^\pm$ must be taken into account to obtain the reasonable DM relic density.