Using the top quark for testing standard-model polarization andCPpredictions

Once top quarks are found, because they are heavy they will allow many new tests of the standard model (SM) and new probes of physics at the 100-GeV scale. In this paper we show how to test the standard-model QCD predictions for the transverse polarization of a top quark produced at the Fermilab Tevatron, Superconducting Super Collider, CERN Large Hadron Collider, and the Next Linear Collider. We also examine the most general form of the $W-t-b$ vertex, and show how to detect effects of non-SM operators. Ways of detecting non-SM $\mathrm{CP}$-violation effects in either the production or the decay of the top quarks and top antiquarks are examined.