Numerical approaches for two-loop amplitudes

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This proposal is asking for one position of a postdoctoral researcher. The 3-year project concerns developing a fully numerical approach for two-loop amplitudes. The method is expected to enable precision calculations which are currently unfeasible with conventional analytic solutions, but urgently required for LHC phenomenology. The main idea relies on introducing local subtraction terms at the loop integrand level and a direct contour deformation of the numerically evaluated loop momentum. This idea has been pioneered by Weinzierl et al. for one-loop corrections and it is the goal of this project to explore its application to two-loop amplitudes. The method will be developed with an immediate focus on important collider processes in Higgs boson and top quark physics.