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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Teilchen und ihr Wechselwirkungen

MP 11.2: Vortrag

Donnerstag, 21. März 2019, 14:20–14:40, HS 23

Developments in scattering amplitudes for three-jet production at NNLO — •Simone Zoia — Max-Planck Institute for Physics, Munich

The increasing experimental precision at hadron colliders challenges theoretical physicists to keep up with the accuracy of the corresponding theoretical predictions. Many of the perturbative calculations appearing in the latest Les Houches “wish list" involve yet unknown 2 → 3 scattering amplitudes.

We review the recent developments in the calculation of the virtual two-loop corrections for five-particle processes. In particular, we present the analytic calculation of all master integrals of the last missing non-planar integral family for five-particle massless scattering at two loops in any 4D gauge theory. We employ the cutting-edge mathematical techniques for calculating multi-loop Feynman integrals: the method of differential equations, the study of leading singularities to put them in the canonical form, and the symbol alphabet that identifies the space of functions.

With the results here presented, together with the ones already given in the literature, we now know the analytic expressions of all master integrals needed e.g. for the virtual two-loop corrections to three-jet production at NNLO.