Tiziano Peraro (Max Planck Institute for Physics - Munich)
I will present a novel approach for reduction of scattering amplitudes, based on multivariate polynomial division. This technique extends the one-loop integrand reduction yielding the complete integrand decomposition for arbitrary amplitudes,regardless of the number of loops. It allows for the determination of the residue at any multi-particle cut, whose knowledge is a mandatory prerequisite for applying the integrand-reduction procedure. The method relies on the division modulo Groebner basis, and leads to a simple integrand recurrence relation generating the multi-particle pole decomposition for arbitrary multi-loop amplitudes. Applications at one and two loops will be discussed as well.