Top condensation model: a step towards the correct prediction of the Higgs mass

Abstract

We study a realization of the composite Higgs scenario in the context of the effective model with the $SU(2)_L\\times U(1)_R$ symmetric four-fermion interactions proposed by Miransky, Tanabashi and Yamawaki. The model implements Nambu s mechanism of dynamical electroweak symmetry breaking leading to the formation of $\\bar tt$ and $\\bar bb$ quark condensates. We explore the general vacuum structure and spectrum of the theory by using the one loop effective potential. As a direct consequence of this mechanism, the Higgs acquires a mass close to the value $m_H\\simeq \\sqrt{2}m_t$. The present prediction differs from the previous estimate $m_H= 2m_t$ and is phenomenologically preferable. The other consequence of our consideration is the existence of a critical point $g_1=g_c, g_2=g_3=0$ where the original $SU(2)_L\\times U(1)_R$ theory possessing a heavy sequential Higgs state turns into the $U(2)_L\\times U(2)_R$ symmetric theory where the heavy Higgs is transformed into a Goldstone mode.