Methods and Tools for Loop Calculations

The high precision of experimental measurements demands high-precision theoretical predictions of scattering amplitudes; in the framework of perturbation theory this means we must calculate higher-order amplitudes which contain loops.

The complexity of multi-loop calculations is such that performing them "by hand" not feasible. The course will mainly consist of "hands-on" tutorials, in which we will look at some tools we can use to implement such calculations on a computer. In particular we will investigate the generation of Feynman diagrams and amplitudes and the integration-by-parts reduction of loop integrals.

The course will assume basic knowledge of the computation of scattering amplitudes using Feynman rules, loop integrals, and Mathematica.