Symmetry Breaking Patterns for the Little Higgs from Strong Dynamics

TL;DR

This paper demonstrates how specific symmetry breaking patterns in little Higgs models can be achieved through strong fermion dynamics, predicting new scalar particles and maintaining consistency with electroweak precision tests.

Contribution

It provides a novel realization of symmetry breaking in little Higgs models via strong fermion condensation, including predictions of new scalar states.

Findings

Realization of symmetry breaking patterns through strong dynamics.

No new light states in the simplest little Higgs model.

Prediction of a TeV-scale scalar with Higgs-like quantum numbers.

Abstract

We show how the symmetry breaking pattern of the simplest little Higgs model, and that of the smallest moose model that incorporates an approximate custodial SU(2), can be realized through the condensation of strongly coupled fermions. In each case a custodial SU(2) symmetry of the new strong dynamics limits the sizes of corrections to precision electroweak observables. In the case of the simplest little Higgs, there are no new light states beyond those present in the original model. However, our realization of the symmetry breaking pattern of the moose model predicts an additional scalar field with mass of order a TeV or higher that has exactly the same quantum numbers as the Standard Model Higgs and which decays primarily to third generation quarks.