HELAS and MadGraph with spin-3/2 particles
K. Hagiwara, K. Mawatari, Y. Takaesu

TL;DR
This paper introduces Fortran subroutines for calculating helicity amplitudes involving massive spin-3/2 particles, integrating with HELAS and MadGraph to facilitate simulations of particles like gravitinos in high-energy physics.
Contribution
It provides new computational tools for simulating spin-3/2 particles, enabling automatic amplitude generation with MadGraph and ensuring gauge invariance.
Findings
Codes successfully tested for gauge invariance
Integration with MadGraph allows automatic amplitude generation
Facilitates studies of gravitinos and similar particles
Abstract
Fortran subroutines to calculate helicity amplitudes with massive spin-3/2 particles, such as massive gravitinos, which couple to the standard model and supersymmetric particles via the supercurrent, are added to the HELAS (HELicity Amplitude Subroutines) library. They are coded in such a way that arbitrary amplitudes with external gravitinos can be generated automatically by MadGraph, after slight modifications. All the codes have been tested carefully by making use of the gauge invariance of the helicity amplitudes.
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