  We compute the complete set of two-loop master integrals for the scattering
of four massless particles and a massive one. Our results are ready for
phenomenological applications, removing a major obstacle to the computation of
complete next-to-next-to-leading order (NNLO) QCD corrections to processes such
as the production of a $H/Z/W$ boson in association with two jets at the LHC.
Furthermore, they open the door to new investigations into the structure of
quantum-field theories and provide precious analytic data for studying the
mathematical properties of Feynman integrals.
