Higgs and Top Masses from Dynamical Symmetry Breaking - Revisited

TL;DR

This paper revisits predictions of the top and Higgs boson masses derived from a dynamical symmetry breaking model, emphasizing their relation to the W boson mass and updating previous estimates with refined calculations.

Contribution

It provides updated predictions for top and Higgs masses from a 4-fermion dynamical symmetry breaking model, incorporating self-consistent mass evaluations and coupling variations.

Findings

Predicted top mass around 175 GeV.

Predicted Higgs mass around 125 GeV.

Mass predictions are sensitive to strong and electroweak coupling variations.

Abstract

We re-examine our former predictions \cite{kahanath1,kahanath2} of the top and Higgs masses via dynamical symmetry breaking in a 4-fermion theory which produces the Higgs as a bound state, and relates the top and Higgs masses to $m_W$. The use of dynamical symmetry breaking was stongly motivated by the apparent equality, within a factor of two, of the known and expected masses of the $W$, $Z$, top and Higgs. In later work \cite{kahanath2} we evaluated the masses self-consistently at the mass-poles, which resulted in predictions of $m_t \sim 175$ GeV, and $m_H \sim 125$ GeV as central values within ranges produced by varying the measured strong coupling. Figures (1) and (2) result from evolution down to $m_W$ while the number quoted for the top quark mass, i.e. 175 GeV includes an evolution back up to the top and use of the determination of $\alpha_s$ at LEP at that time. $m_H$ is less dependent on the value of the strong coupling. The variation of the predicted masses for a range of the strong and electro-weak couplings $\alpha_s$, $\alpha_W$ at $m_W$ are exhibited in Figure (3) and Figure (4) reproduced from the last work \cite{kahanath2}, which was submitted to PRD well before the first FNAL publications \cite{CDF1,D0top} suggesting evidence for the top.