Mass and width of a composite Higgs boson

TL;DR

This paper revises the calculation of the Higgs boson mass in Technicolor models by incorporating recent developments in walking gauge theories and the normalization condition of the Bethe-Salpeter equation, also estimating the boson's width.

Contribution

It introduces a new approach to compute the composite Higgs mass considering dynamical technifermion mass variations and BSE normalization, linking observable properties to underlying gauge theories.

Findings

Mass and width of the composite Higgs depend on the gauge group and fermion content.

Revised calculations show differences from previous estimates due to dynamical effects.

Measurement of mass and width can infer properties of the underlying technicolor theory.

Abstract

The scalar Higgs boson mass in a Technicolor model was obtained by Elias and Scadron with the analysis of an homogeneous Bethe-Salpeter equation (BSE), however it was performed before the most recent developments of walking gauge theories. It was not observed in their work that dynamically generated technifermion mass may vary according to the theory dynamics that forms the scalar bound state. This will be done in this work and we also call attention that their calculation must change to take into account the normalization condition of the BSE. We compute the width of the composite boson and show how the gauge group and fermion content of a technicolor theory can be inferred from the measurement of the mass and width of the scalar boson.