The loop effects on the chargino decays $\tilde{\chi}_1^\pm\to \tilde{\chi}_1^0 f f^\prime$ in the MSSM

Abstract

The lighter chargino three body decays $\tilde{\chi}_1^\pm\to \tilde{\chi}_1^0 f f^\prime$ via the $W^\pm$ boson and the charged Higgs boson $H^\pm$ are studied in the R-parity conserved Minimal Supersymmetric Standard Model (MSSM). We treat $\tilde \chi_1^\pm$ decays as production and decay of $W^\pm$ and $H^\pm$: i.e., $\tilde{\chi}_1^\pm \to \tilde{\chi}_1^0 W^\pm (H^\pm) \to \tilde{\chi}_1^0 f f^\prime$. Both higgsino-like and wino-like $\tilde \chi_1^\pm$ decays are well investigated. These decays are calculated at 1-loop level and the loop corrections are found to be less than three percent.The signal of the charged Higgs $H^\pm$ production from $\tilde \chi_1^\pm$ decays are discussed. It will offer important information about the chargino and neutralino sector, as well as the charged Higgs sector in the MSSM.