Left-Right squarks mixings effects in Charged Higgs Bosons decays $H^{\pm }\to W^{\pm }(\gamma ,Z)$ in the MSSM

Abstract

We study the complete one loop contribution to $H^{\pm }\to W^{\pm }V$, $V=Z,\gamma$, in the Minimal Supersymmetric Standard Model (MSSM). We evaluate the MSSM contributions taking into account $B\to X_s\gamma$ constraint as well as experimental constraints on the MSSM parameters. In the MSSM, we found that in the intermediate range of $\tan \beta \text{la}10$ and for large $A_t$ and large $\mu$, where lightest stop becomes very light and hence squarks contribution is not decoupling, the branching ratio of $H^{\pm }\to W^{\pm }Z$ can be of the order $10^{-3}$ while the branching ratio of $H^{\pm }\to W^{\pm }\gamma$ is of the order $10^{-5}$. We also study the effects of the CP violating phases of Soft SUSY parameters and found that they can modify the branching ratio by about one order of magnitude.

Comments: 15 pages, 7 figures