# Yangian and SUSY symmetry of High Spin Parton Splitting Amplitudes in Generalised Yang-Mills Theory

## TL;DR

This paper derives high spin parton splitting amplitudes using Yangian and SUSY symmetries, unifying previous results and suggesting a supersymmetric formulation of the underlying gauge theory.

## Contribution

It introduces a novel approach to calculating splitting amplitudes based on Yangian and SUSY symmetry, unifying various known results in gauge theories.

## Key findings

- Splitting amplitudes match previous calculations based on BCFW recursion.
- The formula applies to particles with integer and half-integer spins.
- Splitting probabilities satisfy generalized supersymmetry relations.

## Abstract

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensorgluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil generalised Kounnas-Ross N=1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.