Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops

Abstract

In this talk, we review recent developments towards the calculation of multi-loop scattering amplitudes. In particular, we discuss how the colour-kinematics duality can provide new integral relations at one-loop level via the Loop-Tree duality formalism. On the other hand, in order to compute scattering amplitudes at one-and two-loop level, numerically and analytically, we describe the preliminary automation of the adaptive integrand decomposition algorithm. We show preliminary results on the analytic reduction of the µe-elastic scattering at one-and two-loop level.13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)

On the Adaptive Integrand Decomposition of Two-loop Scattering Amplitudes

“…Furthermore, we study the analytical integrand reduction of the two-loop QED correction µeelastic scattering [7,8]. For this amplitude, AIDA provides the decomposition in terms of integrals, which can be reduced by integration-by-parts identities [9 -11].…”