Charged Higgs Boson Search at the Tevatron Upgrade Using Tau Polarization

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 contributions in the inclusive 1-prong hadronic decay channel of $\tau$ are suggested. The resulting signature and discovery limit of $H^{\pm }$ are presented for the Tevatron upgrade as well as the Tevatron${}^{\star }$ and the Ditevatron options.