Properties of Heavy Higgs Bosons and Dark Matter under Current Experimental Limits in the $\mu$NMSSM

TL;DR

This paper analyzes the properties of heavy Higgs bosons and dark matter constraints within the $5$NMSSM, highlighting the impact of recent experimental limits on parameter space and decay modes at the LHC.

Contribution

It provides a comprehensive scan of the $5$NMSSM parameter space considering multiple experimental constraints, and explores exotic decay channels of heavy Higgs bosons with their potential observability.

Findings

LZ2022 imposes strict constraints on the model's parameter space.

Exotic decay modes of heavy Higgs bosons can have branching ratios up to 35%.

Production cross-sections for certain decay channels are extremely small, around 10^{-10} pb.

Abstract

Searches for new particles beyond the Standard Model (SM) are an important task for the Large Hadron Collider (LHC). In this paper, we investigate the properties of the heavy non-SM Higgs bosons in the $\mu$-term extended Next-to-Minimal Supersymmetric Standard Model ($\mu$NMSSM). We scan the parameter space of the $\mu$NMSSM considering the basic constraints from Higgs data, dark matter (DM) relic density, and LHC searches for sparticles. And we also consider the constraints from the LZ2022 experiment and the muon anomaly constraint at 2$\sigma$ level. We find that the LZ2022 experiment has a strict constraint on the parameter space of the $\mu$NMSSM, and the limits from the DM-nucleon spin-independent (SI) and spin-dependent (SD) cross-sections are complementary. Then we discuss the exotic decay modes of heavy Higgs bosons decaying into SM-like Higgs boson. We find that for doublet-dominated Higgs $h_3$ and $A_2$, the main exotic decay channels are $h_3\rightarrow Z A_1$, $h_3\rightarrow h_1 h_2$, $A_2\rightarrow A_1 h_1$ and $A_2\rightarrow Z h_2$, and the branching ratio can reach to about 23$\%$, 10$\%$, 35$\%$ and 10$\%$ respectively. At the 13 TeV LHC, the production cross-section of $ggF\rightarrow h_3\rightarrow h_1 h_2$ and $ggF\rightarrow A_2\rightarrow A_1 h_1$ can reach to about $10^{-11}$pb and $10^{-10}$pb, respectively.