{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:51:24Z","timestamp":1760147484009,"version":"build-2065373602"},"reference-count":71,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T00:00:00Z","timestamp":1675814400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Research Project Cultivation Foundation of Henan Normal University","award":["2021PL10"],"award-info":[{"award-number":["2021PL10"]}]},{"name":"High-Performance Computing Center of Henan Normal University","award":["2021PL10"],"award-info":[{"award-number":["2021PL10"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The Z3-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 Z3-invariant NMSSM and scan the seven-dimension parameter space composing of \u03bb,\u03ba,tan\u03b2,\u03bc,Ak,At,M1 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. The allowed parameter space is featured by a relatively small \u03bc\u2264300 GeV and about tan\u03b2\u2208(10,20). In addition, the DM is Higgsino-dominated because of |2\u03ba\u03bb|&gt;1. Moreover, the co-annihilation between \u03c7\u02dc10 and \u03c7\u02dc1\u00b1 must be taken into account to obtain the reasonable DM relic density.<\/jats:p>","DOI":"10.3390\/sym15020456","type":"journal-article","created":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T05:37:31Z","timestamp":1675834651000},"page":"456","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Phenomenological Research on Higgs and Dark Matter in the Next-to-Minimal Supersymmetric Standard Model"],"prefix":"10.3390","volume":"15","author":[{"given":"Zhaoxia","family":"Heng","sequence":"first","affiliation":[{"name":"School of Physics, Henan Normal University, Xinxiang 453007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4483-6120","authenticated-orcid":false,"given":"Shenshen","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Physics, Henan Normal University, Xinxiang 453007, China"}]},{"given":"Xingjuan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Physics, Henan Normal University, Xinxiang 453007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6046-7794","authenticated-orcid":false,"given":"Liangliang","family":"Shang","sequence":"additional","affiliation":[{"name":"School of Physics, Henan Normal University, Xinxiang 453007, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physletb.2012.08.020","article-title":"Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC","volume":"716","author":"Aad","year":"2012","journal-title":"Phys. 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