Constraints on a General Higgs Sector from $K^0-{\bar{K}}^0$, $B_d-{\bar{B}}_d$ Mixing and the $ϵ$ Parameter

Abstract

The scalar sector of the Standard Model is extended to include an arbitrary assortment of scalars. In the case where this assignment does not preserve $\rho =1$ at the tree-level, the departure from unity itself puts the most stringent constraint on the scalar sector, and where ${\rho }_{tree}=1$ is maintained, useful bounds on the parameter space of the charged Higgs mass and the doublet-nondoublet mixing angle can arise from data on $\text{bbbar}$, $\text{kkbar}$ mixing and the $\text{e}$ parameter. These constraints turn out to be comparable (and in some cases, better) to those obtained from $\text{zbb}$ data.

Comments: LaTeX file. Four figures, not appended, can be obtained from the Authors upon request