This thesis investigates dark matter candidates through the lens of U(1)X extensions of the Standard Model. It begins by contextualizing dark matter's history, detection methods, and candidate particles. The analysis emphasizes theoretical and experimental constraints affecting the U(1)X model parameters. Key considerations include ensuring vacuum stability and evaluating perturbative unitarity, while also exploring the Higgs boson's invisible decay channels. The implications guide future research directions and potential detection strategies essential for advancing the understanding of dark matter phenomena.
To ensure that the scalar potential is bounded from below, it is essential to analyze the positive-definiteness of the corresponding symmetric matrix derived from the potential's quadratic terms.
The invisible decay width of the SM Higgs boson ℎ1 provides critical information on the model constraints, particularly regarding dark matter interactions and particle mixing parameters.
By examining vacuum stability along with perturbative unitarity and collider searches, we can delineate the feasible parameter space for the U(1)X extension and its implications on dark matter.
Understanding the mixing parameters between mass eigenstates is vital for determining the interaction strengths and potential detection avenues for dark matter candidates within this model.
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