I discuss soft-gluon corrections in hard-scattering processes and their resummation. I present master formulas for the expansion of the resummed cross section through NNNLO and discuss the significance of these corrections in a number of processes.
Kidonakis N. 2006. Soft-gluon corrections in hard-scattering processes through NNNLO. Deep Inelastic Scattering (DIS 2006).