Non-BPS Supersymmetric 3pt Amplitude for One Massless, Two Equally Massive Particles

TL;DR

This paper constructs and verifies three-point amplitudes involving two equal-mass non-BPS particles and one massless particle using on-shell methods, with applications to super-Maxwell and supergravity theories.

Contribution

It introduces a novel on-shell construction of non-BPS three-point amplitudes with two equal-mass particles and one massless particle, extending previous BPS-focused work.

Findings

Successfully constructed non-BPS three-point amplitudes

Verified results by matching BPS and $Z=0$ limits

Derived non-BPS couplings for super-Maxwell and supergravity

Abstract

In this paper, the non-BPS amplitudes ($Z < 2m$) are considered. Utilizing on-shell methods, the three point amplitudes of two equal-mass particles and one massless particle were constructed, where the two massive particles are non-BPS states. We verify the result by matching the $Z = 0$ and BPS limit with $N = 2$ supersymmetry. As an application we derive the non-BPS coupling for $N = 4$ super-Maxwell and supergravity.