Detecting very massive top quarks at the Fermilab Tevatron

We consider the dilepton-dijet signal from very heavy $t\overline{t}$ pair production with semileptonic $t\to b\ell \nu$ decays via real $W$ bosons in the standard model. We evaluate the principal backgrounds, arising from the direct production of $W^{+}{W}^{-}$ plus two jets or $Z$ plus two jets (with $Z\to \tau \overline{\tau }\to \ell \overline{\ell }+4\mathrm{}\nu$), and show that they can be cleanly separated by suitable cuts. We demonstrate how the top-quark mass $m_t$ can be estimated via dynamical distributions or event reconstructions or event rate and calculate the statistical correlations between different mass estimators.