Constraints on Two Higgs Doublet Model Parameters in the light of rare $B$-Decays

Abstract

We established the allowed parameters of two-Higgs doublet model(2HDM) from flavor physics observables, precisely from rare $B$ meson decays. In our analysis most formidable constraints on the 2HDM parameters arise from the branching ratio of rare radiative $B$ meson decay i.e., $B\to X_s{\hat{I}}^3$. However, the constraints arising from the branching ratio of $B_s\to \hat{I}{¼}^{+}\hat{I}{¼}^{-}$ decay in $m_{H^{\pm }}-\tan {\hat{I}}^2$ plane give $m_{H^{\pm }}>$ 80 GeV for the value of $\tan {\hat{I}}^2\sim 2$, that is in agreement with large electron-positron collider (LEP) data. Furthermore, we also investigate the bounds on the $CP$-even $m_H$ and $CP$-odd $m_{A^0}$ Higgs boson not only from above mentioned physical observables, but also from the zero crossing of the forward-backward asymmetry of $B\to K^{\ast }\hat{I}{¼}^{+}\hat{I}{¼}^{-}$ decay. Therefore, these bounds on parameters of the 2HDM will provides a fertile ground to test the 2HDM at current and future $B$-physics experiments.

19 pages, 10 figures, added some references