All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering.

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 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.

Universality in the Classical Limit of Massless Gravitational Scattering.

We demonstrate the universality of the gravitational classical deflection angle of massless particles through O(G^{3}) by studying the high-energy limit of full two-loop four-graviton scattering amplitudes in pure Einstein gravity as well as N≥4 supergravity. As a by-product, our first-principles calculation provides a direct confirmation of the massless deflection angle in Einstein gravity proposed long ago by Amati, Ciafaloni, and Veneziano, and is inconsistent with a recently proposed alternative.