I present universal master formulas for soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). I also briefly discuss applications to some processes where these corrections enhance the cross section and decrease the scale dependence.
Kidonakis N,. 2005,. Soft-gluon expansions through NNNLO. AIP Conf.Proc. 792(hep-ph/0506299):698,701. 4 p.