baryon asymmetry results inside the bubbles which are expanding and filling the Universe at the end.

In the SM, the EWPT is too weak [@andhall] unless the Higgs mass is less than $45$ GeV [@mhbound], which is in conflict with present data [LEP]{}. But a departure from thermal equilibrium without being in conflict with this severe bound on the Higgs mass, is possible when extending the SM with additional gauge singlets [@sms; @amin], new heavy fermions [@CC], an extra Higgs doublet [@2H], or in some supersymmetric extensions of the SM.

In spite of its success and popularity, the minimal supersymmetric standard model (MSSM) with R-parity still has two major problems: the $\mu $-problem [@mu] and the fast proton decay due to dimension 5 operators [pdecay]{}. A natural solution to these problems would probably require the extension of MSSM by a new mechanism or a new symmetry. The $U(1)^{\prime }$-extended MSSM ($USSM$, $UNMSSM$ or $UMSSM$) [@UMSSM] is a straightforward extension of the MSSM with a nonanomalous TeV scale Abelian gauge symmetry. This simple enlargement of the gauge sector is well motivated in string construction [@USt], in grand unified theories [UGUT]{} such as $SO(10)$ and $E_{6}$, in models of dynamical symmetry breaking 