 Mass window in a cubic electroweak transition model

If $\lambda /a=x=m_H^2/m_0^2$ and $c/a=A+x$, then $\gamma =[72{\pi }^{2}x(A+x){]}^{-1}$ and ${\varphi }^{\ast }/T^{\ast }=(6\pi x{)}^{-1}$. Requiring both $\gamma <1$ and ${\varphi }^{\ast }>T^{\ast }$ gives $x_{-}<x<1/(6\pi )$, where $x_{-}=[-A+\sqrt{A^2+1/(18{\pi }^2)}]/2$. This is an open interval for the specified model. Failing the strength condition does not alone eliminate its first-order jump.