Properties of Heavy Higgs Bosons and Dark Matter Under Current Experimental Limits in the μNMSSM

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 μ-term extended Next-to-Minimal Supersymmetric Standard Model (μNMSSM). We scan the parameter space of the μNMSSM 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 the 2σ level. We find that the LZ2022 experiment has a strict constraint on the parameter space of the μNMSSM, 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 bosons. We find that for doublet-dominated Higgs h3 and A2, the main exotic decay channels are h3→ZA1, h3→h1h2, A2→A1h1, and A2→Zh2, and the branching ratio can reach to about 23%, 10%, 35%, and 10% respectively.