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We examine two semi-analytical methods for estimating the baryon asymmetry ofthe universe (BAU) generated in scenarios of ``local'' electroweak baryogenesis(in which the requisite baryon number violation and CP violation occur togetherin space and time). We work with the standard electroweak theory augmented bythe addition of a CP violating dimension six operator. We work in the contextof a first order phase transition, but the processes we describe can also occurduring the evolution of a network of topological defects. Both the approacheswe explore deal with circumstances where the bubble walls which convert thehigh temperature phase to the low temperature phase are thin and rapidlymoving. We first consider the dynamics of localized configurations with windingnumber one which remain in the broken phase immediately after the bubble wallhas passed. Their subsequent decay can anomalously produce fermions. In aprelude to our analysis of this effect, we demonstrate how to define the C andCP symmetries in the bosonic sector of the electroweak theory whenconfigurations with nonzero winding are taken into account. Second, we considerthe effect of the passage of the wall itself on configurations which happen tobe near the crest of the ridge between vacua as the wall arrives. We find thatneither of the simple approaches followed here can be pushed far enough toobtain a convincing estimate of the BAU which is produced. A large scalenumerical treatment seems necessary.Comment: 31 pages, revtex, one figure, epsf. This is the version to appear in  Phys Rev D; only changes are small clarification

Semianalytical approaches to local electroweak baryogenesis