In this talk, we will discuss tree-level scattering of two massless and two massive particles with arbitrary integer spin (Compton Scattering). We discuss the three point functions, contributions of exchange diagrams and the role of contact terms. At the end, we discuss about the high energy behaviour and constraints on the coupling constants.
A long time ago, Newman and Janis showed that a complex transformation of the Schwarzschild solution leads to the Kerr solution. The Newman-Janis (NJ) algorithm on the space of classical solutions in GR and electromagnetism can be used in scattering amplitudes to map an amplitude with external scalar states to the one associated with the scattering of “infinite spin particles”. The minimal coupling of these particles to the gravitational or electromagnetic field corresponds to the classical coupling of the Kerr black hole with linearized gravity or the so-called $\sqrt{Kerr}$ charged state with the electromagnetic field.
In this talk, I will discuss the idea of the NJ algorithm on the space of scalar QED amplitudes to compute classical observables such as the angular momentum impulse and the radiative field in the electromagnetic scattering of $\sqrt{Kerr}$ objects (analog of Kerr black holes in electromagnetism) at leading order in the coupling, via the Kosower, Maybee, O’Connell (KMOC) formalism. I will also discuss the relevance of the infinite hierarchy of the soft factorization theorems for gravitational tree-level amplitudes in the context of such classical (gravitational) scattering processes in four spacetime dimensions.