0.2 0.5 0.9 $_{GLYPH<Minus>}$0.05 0.00 0.05 0.10 0.15 0.20 0.25 0.30 $_{GLYPH<Minus>}$0.1 0.0 0.1 0.2 0.3 $^{Ε}$1 Ε 2 (a)tan β = 1 . 04 0.2 0.5 0.9 $_{GLYPH<Minus>}$0.05 0.00 0.05 0.10 0.15 0.20 0.25 0.30 $_{GLYPH<Minus>}$0.1 0.0 0.1 0.2 0.3 $^{Ε}$1 Ε 2 (b)tan β = 1 . 6 0.2 0.5 0.9 $_{GLYPH<Minus>}$0.05 0.00 0.05 0.10 0.15 0.20 0.25 0.30 $_{GLYPH<Minus>}$0.05 0.00 0.05 0.10 0.15 0.20 0.25 0.30 $^{Ε}$1 Ε 2 (c)tan β = 2 FIG. 2: Branching ratio to b ¯ , Γ( h → b ¯ ) Γ( h → b ¯ )+Γ( h → AA ) is plotted on ( ϵ$_{1}$, ϵ$_{2}$ ) space. ϵ$_{3}$ = 0 . 01, ϵ$_{4}$ = 0 and m$_{A}$ = 7GeV are taken here. At each point on the curves, Higgs mass may vary with respect to ϵ$_{1}$$_{,}$$_{2}$ . the light CP even Higgs as light as 72 GeV[20]. In this section it is shown shown that the new parameter space of BMSSM allows light Higgs scenario. CP odd Higgs mass is about 7 or 8 GeV (lighter than 2 m$_{b}$ ) and light CP even Higgs is about 70 to 75 GeV which avoiding model independent search bound from OPAL by having small ZZh coupling. There are two consequences of this scenario. One is that on-shell hA production is possible at the Z pole and there is a possibility that we 9