Charged Higgs Boson Search at the Tevatron Upgrade Using Tau(4)

We explore the prospect of charged Higgs boson search in top quark decay at the Tevatron collider upgrade, taking advantage of the opposite states of $\tau$ polarization resulting from the $H^\pm$ and $W^\pm$ decays. Methods of distinguishing the two contr

Γt→bW=

g2

2 1,m2b m2t

m2W(m2t+m2b)+(m2t?m2b)2?2m4W (9)

Γt→bH=

g2

2 1,m2b m2t

(m2t cot2β+m2b tan2β)(m2t+m2b?m2H)?4m2t m2b (10)

ΓH→τν=

g2m H

32πm2W m2c cot2β+m2s tan2β .(12) From these one can construct the relevant branching fractions

B t→bH=Γt→bH/(Γt→bH+Γt→bW)(13)

B H→τν=ΓH→τν/(ΓH→τν+ΓH→c¯s).(14) It is the product of these two branching fractions that controls the size of the observable charged Higgs signal.The t→bH branching fraction has a pronounced dip at

tanβ=(m t/m b)1

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