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 × 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 tt and 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 mH √ 2mt. The present prediction differs from the previous estimate mH = 2mt and is phenomenologically preferable. The other consequence of our consideration is the existence of a critical point g1 = gc, g2 = g3 = 0 where the original SU (2)L × U (1)R theory possessing a heavy sequential Higgs state turns into the U (2)L × U (2)R symmetric theory where the heavy Higgs is transformed into a Goldstone mode.

The Next Higgs Boson(s) and a Higgs-Yukawa Universality

“…(1) where the effective top mass m top = g t (µ)v (where v = 175 GeV is the electroweak scale) is plotted vs. renormalization scale µ (GeV); the physical top mass corresponds log(µ) ∼ 2. Assuming the initial mass scale of the Landau pole (LP) is of order 10 15 − 10 19 GeV, the quasi-fixed point translates into values of the top quark mass that are heavy, as seen in Table I. One obtains m top ∼ 220 GeV starting with the LP at the Planck mass.…”

“…Ultimately, the top quark was discovered in 1995 at Fermilab by CDF and D-Zero [9] [10], with a mass of m t = 174 GeV. The top mass is shy of the naive SM infrared quasi-fixed point with M X = 10 19 GeV by about 20%. I consider this to be a success of the infrared quasi-fixed point, given that the prediction assumed only SM physics extending all the way up to Planck scale.…”