Amplitudes for $gg \to VV'$ and their high energy SUSY constraints

TL;DR

This paper investigates how asymptotic helicity conservation (HCns) manifests in certain gluon-induced processes within the MSSM at high energies, contrasting it with the Standard Model where HCns is violated, highlighting its potential collider implications.

Contribution

It demonstrates that HCns is a unique feature of the MSSM at high energies, reducing possible amplitudes and providing distinctive signatures for SUSY at colliders.

Findings

HCns is realized in $gg o ext{VV'}$ processes at 1-loop in MSSM.

HCns is violated in the Standard Model for the same processes.

Implications for LHC and future colliders are discussed.

Abstract

We study how the property of asymptotic helicity conservation (HCns), expected for any 2-to-2 process in the minimal supersymmetric model (MSSM), is realized in the processes $gg \to \gamma\gamma,\gamma Z,ZZ,W^+W^-$, at the 1loop electroweak order and very high energies. The violation of this property for the same process in the standard model (SM), is also shown. This strengthens the claim that HCns is specific to the renormalizable SUSY model, and not generally valid in SM. HCns strongly reduces the number of non-vanishing 2-to-2 amplitudes at asymptotic energies in MSSM. Consequences at LHC and higher energy colliders are identified.