Gravitational electron-positron scattering

A scattering process with gravitons as an intermediate state is investigated. To study such a scattering, the Gravitoelectromagnetism theory is considered. It is a gravitational theory built on the analogy between gravity and electromagnetism. The complete Lagrangian formulation of the gravitoelectromagnetic theory includes interactions of gravitons with fermions and photons that leads us to calculate their scattering amplitudes and cross sections. In this context, the gravitational cross section of the e(-) + e(+) -> mu(-) + mu(+) scattering process is obtained. A comparison between the electromagnetic and gravitational cross sections is made.

Automated summary

This study investigates a scattering process involving gravitons as an intermediate state using the Gravitoelectromagnetism theory. The theory, which is based on the analogy between gravity and electromagnetism, includes interactions between gravitons, fermions, and photons, enabling the calculation of their scattering amplitudes and cross sections. The gravitational cross section of the e(-) + e(+) -> mu(-) + mu(+) scattering process is obtained and compared to the electromagnetic cross section.