Charged Higgs Boson Search at the Tevatron Upgrade Using Tau(10)

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

decay amplitudes (43-45)neglecting the a 1and ρwidths.The resulting decay distributions for longitudinal and transverse a 1are given by

1

d cos θa d cos θρdφρ

= m 2a +m 2ρ8πm a m ρ 2+8 (46)

1

d cos θa d cos θρdφρ

= m 2a +m 2ρ16πm a m ρ

2+8 .(47)In the a ±1→ρ±π0decay θa is the angle of ρin the a 1rest frame measured relative to the a 1line of ?ight in the laboratory (z -axis),while the plane con-taining these two vectors de?nes the x ?z plane.Similarly in the ρ±→π0decay θρand φρare the polar and azimuthal angles of the charged pion in the ρrest frame,measured relative to the above ρline of ?ight (z ′-axis)and the above plane respectively.In terms of these angles,the fraction of a 1laboratory energy-momentum carried by the charged pion is given by

x ′=E π±

m a m ρ

2m a m ρ

+m ρ2m a m ρcos θa +q m 2a ?m 2ρ2m a m ρcos θρcos θa ?q sin θρcos φρsin θa ,

(48)q =1m 2ρ?4m 2π?1

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