Electroweak phase transition with the confinement scale of the strong sector or dilaton in the minimal composite Higgs model

TL;DR

This paper investigates the electroweak phase transition in the minimal composite Higgs model, highlighting the role of the confinement scale and dilaton, and demonstrating conditions for a strong first-order transition relevant for baryogenesis.

Contribution

It introduces a dilaton potential within the MCHM framework, showing how the confinement scale influences the electroweak phase transition and providing parameter ranges for a strong first-order transition.

Findings

Dilaton mass ranges from 300 GeV to 700 GeV.

Electroweak phase transition strength exceeds 1 and is below 3.

Inclusion of the dilaton supports a first-order phase transition.

Abstract

The minimal Composite Higgs model (MCHM) provides an effective trigger for the Baryogenesis scenario through the confinement scale of the strong sector ($f$) or dilaton ($\chi$). $f$ is a parameter with mass dimension, which stores the resonances of particles at high energies and has a suitable value of about $800$ GeV. But when $300$ GeV $\le f \le 400$ GeV, the effective Higgs potential has a first-order electroweak phase transition. Therefore, although $f$ cannot be a perfect trigger, it does suggest an effective approach that accommodates the resonances of particles. Thus the investigation of the electroweak phase transition according to $f$ has confirmed that the inclusion of the dilaton in the effective potential is reasonable. Accordingly, we derive a dilaton potential with appropriate parameter domains and $f=800$ GeV; the mass of the dilaton ranges from $300$ GeV to $700$ GeV, which will give an electroweak phase transition strength greater than $1$ and less than $3$, enough for a first-order phase transition. This is a direct and clear evidence of the triggers for the first-order EWPT in the MCHM.