The Supersymmetric Georgi-Machacek Model

TL;DR

This paper demonstrates how the Georgi-Machacek model can be derived as a limit of a supersymmetric model, revealing new constraints and phenomenological implications for Higgs signals at the electroweak scale.

Contribution

It introduces the Supersymmetric GM model as a weakly coupled origin of the GM model and explores its phenomenological distinctions and constraints.

Findings

Supersymmetric GM model can mimic the conventional GM model in certain scenarios.

Supersymmetry imposes additional constraints on the Higgs potential.

Differences in diphoton and ZZ signals can distinguish the models.

Abstract

We show that the well known Georgi-Machacek (GM) model can be realized as a limit of the recently constructed Supersymmetric Custodial Higgs Triplet Model (SCTM) which in general contains a significantly more complex scalar spectrum. We dub this limit of the SCTM, which gives a weakly coupled origin for the GM model at the electroweak scale, the Supersymmetric GM (SGM) model. We derive a mapping between the SGM and GM models using it to show how a supersymmetric origin implies constraints on the Higgs potential in conventional GM model constructions which would generically not be present. We then perform a simplified phenomenological study of diphoton and ZZ signals for a pair of benchmark scenarios to illustrate under what circumstances the GM model can mimic the SGM model and when they should be easily distinguishable.