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

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 $ge\to Ze$ and $ge\to W{\nu }_e$. 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.

9 pages, figures are included , RevTex