Electroweak phase transition in the economical 3-3-1 model

We consider the EWPT in the economical 3-3-1 (E331) model. Our analysis shows that the EWPT in the model is a sequence of two first-order phase transitions, $SU(3)\to SU(2)$ at the TeV scale and $SU(2)\to U(1)$ at the $100$ GeV scale. The EWPT $SU(3)\to SU(2)$ is triggered by the new bosons and the exotic quarks; its strength is about $1-13$ if the mass ranges of these new particles are ${10}^2\mathrm{G}\mathrm{e}\mathrm{V}-{10}^3\mathrm{G}\mathrm{e}\mathrm{V}$. The EWPT $SU(2)\to U(1)$ is strengthened by only the new bosons; its strength is about $1-1.15$ if the mass parts of $H_1^0$, $H_2^{\pm }$ and $Y^{\pm }$ are in the ranges $10\mathrm{G}\mathrm{e}\mathrm{V}-{10}^2\mathrm{G}\mathrm{e}\mathrm{V}$. The contributions of $H_1^0$ and $H_2^{\pm }$ to the strengths of both EWPTs may make them sufficiently strong to provide large deviations from thermal equilibrium and B violation necessary for baryogenesis.