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In the scenario of cold electroweak baryogenesis, oscillations of the Higgsfield lead to metastable domains of unbroken phase where the Higgs field nearlyvanishes. Those domains have also been identified with the $W-t-\bar{t}$ bags,a non-topological soliton made of large number ($\sim 1000$) of gauge quantaand heavy (top and anti-top) quarks. As real-time numerical studies had shown,sphalerons (topological transition events violating the baryon number) occuronly inside those bags. In this work we estimate the amount of CP violation inthis scenario coming from the Standard Model, via the Cabibbo-Kobayashi-Maskawa(CKM) quark mixing matrix, resulting in top-minus-antitop difference of thepopulation in the bags. Since these tops/anti-tops are "recycled" bysphalerons, this population difference leads directly to the baryonic asymmetryof the Universe. We look at the effect appearing in the 4th order in weak $W$diagrams describing interference of different quark flavor contributions. Wefound that there are multiple cancellations of diagrams and clearlysign-definite effect appears only in the 6th order expansion overflavor-dependent phases. We then estimate contributions to these diagrams inwhich weak interaction occurs (i) inside, (ii) near and (iii) far from the$W-t-\bar{t}$ b-bags, optimizing the contributions in each of them. We concludethat the second ("near") scenario is the dominant one, producing CP violationof the order of $10^{-10}$, in our crude estimates. Together with the baryonviolation rate of about $10^{-2}$, previously demonstrated for this scenario,it puts the resulting asymmetry close to what is needed to explain the observedbaryonic asymmetry in the Universe. Our answer also has a definite sign, whichapparently seems to be the correct one.

Can the Standard Model CP violation near the W-bags explain the cosmological baryonic asymmetry?