content_image/364954.jpg
from now on.) 

<img src='content_image/364954.jpg'>

where λ$_{0}$ = − iM 2 $_{Z}$/v . 

The corrections to the masses and couplings from ϵ$_{1}$ and ϵ$_{2}$ are also discussed in [19]. It is clear that h → AA dominates over h → b ¯ b in most of parameter space. Nonetheless, there is a chance that h → AA can be suppressed compared to h → b ¯ b since h → b ¯ b is given by bottom Yukawa coupling alone (dominantly) while h → AA is given by two or three independent contributions. It is this cancelation which we will use to explain the forward backward asymmetry of bottom quark later in this paper. 

Fig. 2 shows the ratio of partial decay width Γ( h → b ¯ b ) / (Γ( h → b ¯ b ) + Γ( h → AA )) for tan β = 1 . 04 , 1 . 6 and 2, respectively. This is basically the branching ratio of h → b ¯ b as b ¯ b and AA provide dominant decay channels. Br( h → b ¯ b ) is larger than 50% in the skyblue and ivory regions. When tan β = 1 . 04, it is possible to have a cancelation of ϵ$_{1}$ and ϵ$_{2}$ contribution to g$_{hAA}$ coupling and there appears a bulk region in between ϵ$_{1}$ = 0 and 0 . 05. The horizontal line with ϵ$_{2}$ ∼ 0 in Fig. 2 (a) shows that ϵ$_{1}$ dependence on g$_{hAA}$ almost vanishes since cos 2 β ∼ 0. In other plots, the cancelation appears as a line in ϵ$_{1}$ and ϵ$_{2}$ plane and sizable Br( h → b ¯ b ) is possible along the line. 

Assuming that the conditions is satisfied ( h → b ¯ b dominates over h → AA ), we can compare how much of b ¯ b pairs can be produced from LEP compared to the ones directly produced from Z boson decay. Br( Z → hA → b ¯ b ) depends on light CP even Higgs mass and CP odd Higgs mass because the most significant factor is the kinematic suppression at the Z pole. A decays into soft 2 τ or c ¯ c and we assume these soft jets are not tagged. 

Fig. 3 shows the ratio of bottom quark events produced from Higgs compared to those from Z. Here Z → Zh is assumed to be zero and Z → hA coupling is maximized. Also Br( h → AA ) is taken to be 1. For m$_{h}$ = 75 GeV, the ratio can be about 0.5 % and if it is lighter, m$_{h}$ = 70 GeV, it can be as large as 1%. The direct search limit from the LEP allows 

