Electroweak Symmetry Breaking via a Technicolor Nambu--Jona-Lasinio Model

Abstract

We consider a theory of gauge fields and fermions which we argue gives rise to dynamics similar to that of the Nambu--Jona-Lasinio (NJL) model when a gauge coupling constant is appropriately fine-tuned. We discuss the application of this model to dynamical electroweak symmetry breaking by a top-quark condensate. In this model, custodial symmetry is violated solely by perturbatively weak interactions, and the top--bottom mass splitting is due to the enhanced sensitivity to custodial symmetry violation near the critical point. We also consider models in which electroweak symmetry is broken by new strongly- interacting fermions with NJL-like dynamics. We argue that these models require additional fine-tuning in order to keep corrections to the electroweak $\rho$-parameter acceptably small.