I discuss the recent advances in the computation of two-loop scattering
amplitudes for five-particle processes. The latter are fundamental ingredients
to obtain predictions at the next-to-next-to-leading order (NNLO) in QCD for
many interesting LHC processes. I discuss the state-of-the-art technology for
computing scattering amplitudes analytically, and present new results relevant
for the LHC phenomenology.Comment: Proceedings for Radcor 2023, 7 pages, 1 tabl