Fermion Scattering off a CP-violating Bubble Wall in the Background of a Uniform Magnetic Field

In the scenario of the electroweak baryogenesis we consider the dynamics of fermions with a spatially varying mass in presence of a CP-violating bubble wall and a uniform magnetic field perpendicular to the wall. The relevant quantity for baryogenesis, $R_{R \to L} - R_{L \to R}$, is studied ($R_{R \to L}$ and $R_{L \to R}$ being the reflection coefficients for right-handed and left-handed chiral fermions, respectively).