FERMION SCATTERING OFF A CP-VIOLATING ELECTROWEAK BUBBLE WALL

A general prescription to solve the Dirac equation in the presence of a CP-violating electroweak bubble wall is presented. The profile of the bubble wall is not specified except that the wall height is m0 and zero deep in the broken- and the symmetric-phase regions, respectively, where m0 is a fermion mass given by the Higgs vacuum, expectation value and the Yukawa coupling. The CP-violating effects are evaluated by regarding the CP-violating part of the bubble wall as a perturbation to CP-conserving solutions. The basic quantity R(R --> L) - R(R --> L)BAR, which would contribute to the cosmological baryon asymmetry, is estimated for some profiles of the wall, where R(R --> L) (R(R --> L)BAR) is the reflection coefficient of the right-handed chiral fermion (antifermion).