Associated production of light gravitinos in e^+e^- and e^-\gamma collisions

TL;DR

This paper analyzes the production of light gravitinos in e^+e^- and e^- ext{gamma} collisions, providing detailed calculations of cross sections and exploring how distributions can reveal particle masses at future colliders.

Contribution

It explicitly derives helicity amplitudes using the goldstino interaction Lagrangian and studies collider signatures for light gravitino production.

Findings

Cross sections depend on collision energy and mass spectra.

Photon and electron distributions can determine exchange and decaying particle masses.

Selection cuts and polarization enhance signal detection.

Abstract

Light gravitino productions in association with a neutralino (selectron) in e^+e^- (e^-\gamma) collisions are restudied in a scenario that the lightest supersymmetric particle is a gravitino and the produced neutralino (selectron) promptly decays into a photon (electron) and a gravitino. We explicitly give the helicity amplitudes for the production processes by using the effective goldstino interaction Lagrangian, and present the cross sections with different collision energies and mass spectra. We also examine selection efficiencies by kinematical cuts and beam polarizations for the signal and background processes, and show that the energy and angular distributions of the photon (electron) can explore the mass of the t-channel exchange particle as well as the mass of the decaying particle at a future e^+e^- (e^-\gamma) collider.