Minimal dynamical symmetry breaking of the standard model

Abstract

We formulate the dynamical symmetry breaking of the standard model by a top-quark condensate in analogy with BCS theory. The low-energy effective Lagrangian is the usual standard model with supplemental relationships connecting masses of the top quark, $W$ boson, and Higgs boson which now appears as a $\overline{t}t$ bound state. Precise predictions for ${m}_{t}$ and ${m}_{H}$ are obtained by abstracting the compositeness condition for the Higgs boson to boundary conditions on the renormalization-group equations for the full standard model at high energy.