Particle currents on a CP violating Higgs background and the spontaneous baryogenesis mechanism

We compute the particle currents induced on a bubble wall background at finite temperature in a model with CP violation in the Higgs sector. Using a field theory approach we show that fermionic currents arise at one loop, so that a suppression factor {\cal O}(h_t \phi/\pi T)^2 with respect to previous computations is found. The contributions to the Higgs currents are also derived and their relevancy for the spontaneous baryogenesis mechanism is discussed