Speaker
Description
We consider the $f f \rightarrow f f$ scattering amplitudes for the a massless four-fermion interaction model in four dimensions. At first we take the simplest version with the scalar current-current interaction. The loop corrections up to the three-loop level are calculated within the spinor-helicity formalism using the Weyl spinors. We find out that there are two independent spinor structures that appear in all orders of perturbation theory that can be separated when calculating the diagrams. Our aim is to calculate the leading divergences within the dimensional regularization. To check the validity of our calculations, we use the recurrence relations that connect the leading divergences in the subsequent orders of perturbation theory. Then we can provide the resummation procedure of the leading divergencies in all loop orders, to study the high energy behavior of the theory. At the end we will consider the physically more interesting case of V-A interaction.
