Resummation for heavy quark and jet cross-sections

We review the resummation of threshold logarithms for heavy quark, dijet, d irect photon, and W boson production cross-sections in hadronic collisions. Beyond leading logarithms the resummed cross-section is sensitive to the c olor exchange in the hard scattering. The resummation is formulated at next -to-leading logarithmic or higher accuracy in terms of anomalous dimension matrices which describe the factorization of soft gluons from the hard scat tering. We give results for the soft anomalous dimension matrices at one lo op for the full range of partonic subprocesses involved in heavy quark, dij et, direct photon, and W boson production. We discuss the general diagonali zation procedure that can be implemented for the calculation of the resumme d cross-sections, and we give numerical results for top quark production at the Fermilab Tevatron. We also present analytical results for the one- and two-loop expansions of the resummed cross-sections.