1994/07/02 by Koichi Funakubo, K. Funakubo, Funakubo, K. +10
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9407207
17 pages, 2 figures ( appended at the end of the text ), harvmac , SAGA-HE-64--KYUSHU-HET-18
arxiv created 1994/07/02 · arxiv updated 2009/11/30
By treating CP-violating interaction as a perturbative term, we solved in a previous paper the Dirac equation in the background of electroweak bubble wall, and obtained the transmission and reflection coefficients for a chiral fermion incident from the symmetric-phase region. We give the transmission and reflection coefficients under the other boundary condition, that is, the case of the fermion incident from the broken-phase region. There hold the respective sets of unitarity relations and also reciprocity relations among them. These relations enable us to obtain a simple form of quantum-number flux through the bubble wall, which is the first order quantity of the CP violation. A factor in the integrand of the flux, which originates from the CP violation, is very sensitive to the functional form of the CP-violating phase. The absolute value of this factor is found to decrease as m0/a increases for m0/a ~\roughly>~1, where 1/a is the wall thickness and m0 the fermion mass near the critical temperature.