Charged Higgs bosons at the Superconducting Super Collider

We study techniques for discovering at the Superconducting Super Collider (SSC) a charged Higgs boson of a two-doublet Higgs sector in the decay $t\to H^{+}b$, for a variety of top-quark and charged-Higgs-boson masses. $t\overline{t}$ events are selected by demanding a high-$p_T$ lepton and a tagged $b$ jet. One technique is to search for an excess of $\tau$ leptons from $H^{+}$ decays. For $tan\beta \equiv \frac{v_2}{v_1}\gtrsim 0.5$, this technique is usually viable, even for a fraction of the expected SSC yearly luminosity (depending upon $m_t$ and $m_{H^{+}}$). Techniques for approximately determining the $H^{+}$ mass in this mode are discussed. We also demonstrate that for $0.1\lesssim tan\beta \lesssim 1.5$ a peak in the two-jet mass distribution resulting from $H^{+}\to c\overline{s}$ can be found, and a precise $H^{+}$ mass determination is possible even in a fraction of an SSC year, provided $B(t\to H^{+}b)$ is not too small.