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We initiate a study of cosmological implications of sphaleron-mediatedCP-violation arising from the electroweak vacuum angle under the reasonableassumption that the semiclassical suppression is lifted at finite temperature.In this article, we explore the implications for existing scenarios ofbaryogenesis. Many compelling models of baryogenesis rely on electroweaksphalerons to relax a $(B+L)$ charge asymmetry. Depending on the sign of theCP-violating parameter, it is shown that the erasure of positive $(B+L)$ willproceed more or less quickly than the relaxation of negative $(B+L)$. This is ahigher order effect in the kinetic equation for baryon number, which we derivehere through order $n_{B+L}^2$. Its impact on known baryogenesis modelstherefore seems minor, since phenomenologically $n_{B+L}$ is much smaller thanthe entropy density. However, there remains an intriguing unexploredpossibility that baryogenesis could be achieved with the vacuum angle aloneproviding the required CP-violation.

The Electroweak Vacuum Angle at Finite Temperature and Implications for Baryogenesis