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

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.