Abstract
We study the consequences of combining SUSY with a pseudo Nambu-Goldstone boson Higgs coming from an SO(5)/SO(4) coset and partial compositeness. In particular, we focus on how electroweak symmetry breaking and the Higgs mass are reproduced in models where the symmetry SO(5) is linearly realized. The global symmetry forbids tree-level contributions to the Higgs potential coming from D-terms, differently from what happens in most of the SUSY little-Higgs constructions. While the stops are generally heavy, light fermion top partners below 1 TeV are predicted. In contrast to what happens in non-SUSY composite Higgs models, they are necessary to reproduce the correct top, rather than Higgs, mass. En passant, we point out that, independently of SUSY, models where tR is fully composite and embedded in the 5 of SO(5) generally predict a too light Higgs.
Highlights
Speaking, the model building with a pNGB Higgs in the last years can be grouped in two different classes
We focus on how electroweak symmetry breaking and the Higgs mass are reproduced in models where the symmetry SO(5) is linearly realized
In the latter models, denoted in what follows as Composite Higgs Models (CHM), the Higgs potential is typically assumed to be entirely generated at the loop level
Summary
Our models consist of an elementary sector, containing SM fermions, gauge bosons and their supersymmetric partners, coupled to a composite sector where both the global symmetry G and SUSY are spontaneously broken On top of this structure, in order to have sizable SM soft mass terms, we need to assume the existence of a further sector which is responsible for an additional source of SUSY breaking and its mediation to the other two sectors. We do not consider SM fermions but the top in this paper, since they are not expected to play an important role in the EWSB mechanism They can get a mass via partial compositeness through the portal (2.1), like the top quark, or by irrelevant deformations, for instance by adding quartic superpotential terms. In light of these two different perspectives, we will consider two benchmark models, with and without vector resonances
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