Factorization in processes of graviton scattering off electron for Z and W productions

TL;DR

This paper investigates how graviton scattering processes involving electrons produce Z and W bosons, demonstrating that amplitudes factorize due to gauge and Lorentz invariance, with explicit polarization values derived.

Contribution

It extends the concept of factorization in linearized gravity to graviton-electron scattering producing massive vector bosons, providing explicit polarization calculations.

Findings

Amplitudes fully factorize due to gauge and Lorentz invariance.

Explicit polarization values for Z and W bosons are obtained.

Factorization holds for graviton scattering processes involving electrons.

Abstract

The study of factorization in linearized gravity is extended to the graviton scattering processes with an electron for the massive vector boson productions such as $g e \rightarrow Z e$ and $g e \rightarrow W \nu_e$. It is shown that every transition amplitude is completely factorized due to gravitational gauge invariance and Lorentz invariance. Also the explicit values of vector boson polarizations are obtained.