Particle Physics Insights

We study the production of the lightest neutral Higgs boson via the e⁺e⁻ → ṽ_τṽ̄ _τh⁰ process in the framework of the minimal supersymmetric standard model (MSSM). The aim of the study is first to calculate the full virtual one-loop electroweak (EW) corrections to the production of the e⁺e⁻ → ṽ_τṽ̄ _τh⁰ channel, and second to study the dependence of the lowest order, σ_0, and the full virtual one-loop radiative-corrected cross-section, σ, on the center of mass energy, √s, and the other model parameters. The study is done at the a typical minimal SUperGRAvity (mSUGRA) points (SPS 1b scenario) with relatively high Higgs vacuum expectation value (VEV), tan β, and with large value of tan β (SPS 4 scenario), which are defined in the supersymmetry parameter analysis (SPA) project. Our numerical results show that the radiative corrections are always positive in our chosen parameter spaces. The relative correction, Δ σ / σ0, varies in the ranges of [33%, 123%] and [63%, 71%] for SPS 1b and SPS 4 scenarios, respectively. The numerical results show that the best cross-section value and the EW relative corrections for the e⁺e⁻ → ṽ_τṽ̄ _τh⁰ channel are in favor of the SPS 1b scenario, and these corrections are so remarkable and they must be taken into account in precision measurements at future e⁺e⁻ linear colliders.

PACS No.: 12.15.-y, 13.66.-a, 13.85.Hd, 13.85.Lg