Analytical On-shell Calculation of Higher Order Scattering: Massive Particles

TL;DR

This paper introduces an on-shell method for calculating higher-order electromagnetic and gravitational scattering of massive particles, simplifying complex loop calculations through factorization and discontinuity analysis.

Contribution

It presents a novel on-shell approach that streamlines the computation of loop contributions in scattering processes involving massive particles.

Findings

Simplified calculation of gravitational scattering using on-shell methods

Demonstrated algebraic approach reduces computational complexity

Validated results align with previous Feynman diagram calculations

Abstract

We demonstrate that the use of on-shell methods, involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles, can be used to evaluate loop contributions to both the electromagnetic and gravitational scattering of massive systems. In the gravitational case, the use of factorization permits a straightforward and algebraic calculation of higher order scattering results, which were obtained previously by much more arduous Feynman diagram techniques.