Can the Higgs Boson Bootstrap itself?

TL;DR

This paper explores the self-consistency of the Higgs boson within top-condensate models, demonstrating that the Higgs bootstrap mechanism is inherent and can produce mass predictions compatible with existing models.

Contribution

It shows that Higgs bootstrap is naturally embedded in top-condensate models and derives bootstrap solutions for the Higgs mass consistent with top-color models.

Findings

Higgs bootstrap is inherent in top-condensate models.

The ladder sum of Higgs pole diagrams reproduces a Higgs pole in the crossed-channel.

Bootstrap solutions for the Higgs mass align with top-color models.

Abstract

It is pointed out that Higgs bootstrap is inherent in the top-condensate models of Nambu and Bardeen et al in that the ladder sum of Higgs pole diagrams in one channel reproduces a Higgs pole in the crossed-channel. This result is exact whenever color flows simultaneously in both channel directions e.g. for N(sub c)=1. Bootstrap solutions for the Higgs boson mass are obtained that are compatible with the condensate models such as the top-color models which imply large top-Yukawa couplings at the top mass.