IV. LEP ELECTROWEAK PRECISION DATA : A b FB AND R$_{b}$ 11 R$_{b}$ = 0 . 21629 ± 0 . 00066 , (9) R SM b = 0 . 2158 . (10) R$_{b}$ = Γ( Z → b ¯ b ) Γ( Z → hadrons) = (( g b $_{L}$) 2 + ( g b $_{R}$) $^{2}$) $^{∑}$$_{q}$(( g q $_{L}$) 2 + ( g q $_{R}$) $^{2}$) , (8) A b FB = 0 . 0992 ± 0 . 0016 , (6) A b FB SM = 0 . 1037 ± 0 . 0008 . (7) A b $_{FB}$( M$_{Z}$ ) = σ$_{F}$ − σ$_{B}$ σ$_{F}$ + σ$_{B}$ = 3 4 A$_{e}$A$_{b}$ (4) = 3 4 (( g e $_{L}$) 2 − ( g e $_{R}$) $^{2}$) (( g e $_{L}$) 2 + ( g e $_{R}$) $^{2}$) (( g b $_{L}$) 2 − ( g b $_{R}$) $^{2}$) (( g b $_{L}$) 2 + ( g b $_{R}$) $^{2}$) . (5) LEP experiment is known as one of the most successful ones which confirm the Standard Model (SM) at a very high precision, one per mil. This acts as the main source of the frustration for any physics beyond the SM. In this paper we take a viewpoint that 3 sigma deviation of A b FB between the prediction and the measurement existing in LEP data might be a hint for a new physics. We discuss whether light Higgs scenario might be relevant to reduce the tension. Forward-backward asymmetry of bottom quark produced from electron-positron pair, has been measured at LEP I and LEP II and it is the electroweak observable which shows the largest discrepancy compared to the standard model prediction: The difference 0 . 0045 corresponds to 2 . 8 σ deviation with the experimental error or 2 . 5 σ deviation with the combined error. The strong constraints on the bottom quark pair pro- duction at the Z pole from R$_{b}$ measurements makes hard to resolve this deviation. where q represents five quarks excluding top quark. The observed value and the standard model prediction agrees well: