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Open AccessArticle

The Phenomenological Research on Higgs and Dark Matter in the Next-to-Minimal Supersymmetric Standard Model

by Zhaoxia Heng, Shenshen Yang, Xingjuan Li and Liangliang Shang

Symmetry 2023, 15(2), 456; https://doi.org/10.3390/sym15020456 - 8 Feb 2023

Cited by 2 | Viewed by 2258

The

Z_{3}

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

λ, κ, tan β, μ, 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. The allowed parameter space is featured by a relatively small

μ \leq 300

GeV and about

tan β \in (10, 20)

. In addition, the DM is Higgsino-dominated because of

| \frac{2 κ}{λ} | > 1

. Moreover, the co-annihilation between

{\tilde{χ}}_{1}^{0}

and

{\tilde{χ}}_{1}^{\pm}

must be taken into account to obtain the reasonable DM relic density. Full article

(This article belongs to the Special Issue Symmetry in Dark Matter and Cosmology)

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25 pages, 796 KB

Open AccessReview

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

by C. R. Das, L. V. Laperashvili, H. B. Nielsen and B. G. Sidharth

Universe 2019, 5(3), 78; https://doi.org/10.3390/universe5030078 - 12 Mar 2019

Cited by 1 | Viewed by 4266

Abstract

Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: (a) the first Electroweak (EW) vacuum at

v_{1} \approx 246

GeV—“true vacuum”, and (b) the second Planck scale [...] Read more.

Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: (a) the first Electroweak (EW) vacuum at

v_{1} \approx 246

GeV—“true vacuum”, and (b) the second Planck scale “false vacuum” at

v_{2} \sim 10^{18}

GeV. In these vacua, we investigated different topological defects. The main aim of the paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the

f (R)

gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog”—global monopole, that has been “swallowed” by the black-hole with mass core

M_{B H} \sim 10^{18}

GeV and radius

δ \sim 10^{- 21}

GeV

^{- 1}

. Considering the results of the hedgehog lattice theory in the framework of the

S U (2)

Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase (

T_{c} \sim 10^{18}

GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the

S U (2)

-triplet Higgs bosons) at the scale ∼10 TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP. Full article

(This article belongs to the Collection Open Questions in Black Hole Physics)

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