A new class of SUSY signatures in the processes $gg \to HH', ~VH$

TL;DR

This paper investigates electroweak predictions for specific gluon fusion processes in the MSSM and SM, focusing on helicity amplitudes and the impact of SUSY's helicity conservation at LHC energies.

Contribution

It introduces the analysis of helicity amplitudes for multiple processes in MSSM and SM, highlighting the effects of SUSY helicity conservation and deriving relations among cross sections.

Findings

Helicity conservation influences MSSM amplitudes at LHC energies.

Derived relations among MSSM process cross sections based on angles α and β.

Deviations from asymptotic relations decrease with energy, remaining relevant at LHC energies.

Abstract

Within the MSSM and SM frameworks, we analyze the 1loop electroweak (EW) predictions for the helicity amplitudes describing the 17 processes $gg\to HH'$, and the 9 processes $gg\to VH$; where $H,H'$ denote Higgs or Goldstone bosons, while $V= Z, ~W^\pm$. Concentrating on MSSM, we then investigate how the asymptotic helicity conservation (HCns) property of SUSY, affects the amplitudes at the LHC energy range; and what is the corresponding situation in SM, where no HCns theorem exists. HCns is subsequently used to construct many relations among the cross sections of the above MSSM processes, depending only on the angles $\alpha$ and $\beta$. These relations should be asymptotically exact, but with mass-depending deviations appearing, as the energy decreases towards the LHC range. Provided the SUSY scale is not too high, they may remain roughly correct, even at the LHC energy range.