  So far, the use of different variants of dimensional regularization has been
investigated extensively for two-loop virtual corrections. We extend these
studies to real corrections that are also required for a complete computation
of physical cross sections at next-to-next-to-leading order. As a case study we
consider two-jet production in electron-positron annihilation and describe how
to compute the various parts separately in different schemes. In particular, we
verify that using dimensional reduction the double-real corrections are
obtained simply by integrating the four-dimensional matrix element over the
phase space. In addition, we confirm that the cross section is
regularization-scheme independent.
