The supersymmetric Georgi-Machacek model

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.2 In particular the SU (5)/SO(5) symmetry breaking pattern found in a number of composite Higgs scenarios [31,32], including certain Little Higgs [33] and the Littlest Higgs Model with T -Parity [34][35][36], contains within its coset the same SU (2) L ⊗ SU (2) R representations as the GM scalar sector.

Light (and darkness) from a light hidden Higgs

“…As shown in [44] and discussed above, the potential in eq. (3.2) can be 'derived' from the Higgs potential of the SCTM [66,78,99].…”

“…As part of our analysis we briefly explore the recently observed ∼ 3σ diphoton excess by CMS [38] at ∼ 95 GeV, also examined in recent studies [39][40][41][42][43]. Finally, we examine two explicit realizations of these light Higgs sectors in the Georgi-Machacek (GM) and Supersymmetric GM (SGM) models [44] which contain custodial Higgs bosons with small couplings to SM fermions and, in the SGM model, an invisible (neutralino) LSP.…”

“…As shown in [44], the SCTM has a low energy limit, which defines the SGM, that gives rise to the same Higgs boson sector as in the GM model, but also includes the presence of light fermionic superpartners. The SGM also inherits all of the other attractive features of the SCTM [66,78,[99][100][101][102][103][104][105].…”

“…We also briefly examine the recently observed 95 GeV CMS diphoton excess [38]. First we breifly review the GM and SGM models, but refer the reader to [44,76] for details.…”

Higgs production at future e+e− colliders in the Georgi-Machacek model

“…The GM model has been extended by embedding it in more elaborate theoretical scenarios such as little Higgs [56,57] and supersymmetric models [58,59], by generalizing it to larger SU(2) multiplets [60] or including dark matter [61,62]. The phenomenology of exotic scalars has previously been studied, including searches for exotic scalars and the application of a variety of constraints on the model parameter space ; in particular, previous works on e + e − colliders [75,80] mainly concentrated on the custodial quintuplet particles.…”