On the Charged Higgs Bosons Effects in the Top Quark Decays

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The collider experiments at the Tevatron and the LHC provide us the possibility of probing the existence of a light charged Higgs boson. In this paper we study semi-leptonic decay of a polarized top quark via the charged Higgs boson ($t(\uparrow)\to H^{+}b \to l^{+}ν_{l}b$). It is shown that the asymmetry or spin correlation coefficient of the charged lepton depends on the $\tanβ$ and $M_{H^{\pm}}$ and is quite different from the Standard Model. This sensitivity of asymmetry to $\tanβ$ and $M_{H^{\pm}}$ could be utilized in the experimental searches for the light charged Higgs for separation of the signal from backgrounds in the $t\bar{t}\to H^{+}W^{-}b\bar{b}\toτ^{+}ν_τł^{-}\bar{ν_ł}b\bar{b}$ (and vice versa). It might be useful for obtaining better bounds in the ($\tanβ,M_{H^{\pm}}$) plane too.
7 pages, 4 pictures

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