BAU Production in the SN-Breaking Standard Model

The violation of charge-parity symmetry and the baryon asymmetry of the universe are two of the most significant unresolved problems in physics. This article presents further research on the CP violation problem in the Standard Model with 32 candidate sets of the 10 natural parameters that exhibit the same Cabibbo-Kobayashi-Maskawa performance. These parameters are considered natural because they consist solely of the Yukawa couplings and the vacuum expectation value of the unique Higgs doublet in the Standard Model. Then, the problems of CP violation and the baryon asymmetry of the universe are investigated by using the Jarlskog measure of CP violation, Delta(CP)=J(m(t)(2)-mc2)(m(t)(2)-mu2)(m(c)(2)-m(u)(2))(m(b)(2)-m(s)(2))(m(b)(2)-m(d)(2))(m(s)(2)-m(d)(2))/T-12, given that CP symmetry is violated following the breakdown of S-N symmetries. Subsequently, numerical tests are performed in a simplified scenario where eight of the ten parameters are assumed to be fixed by two assumptions, and the remaining two parameters are allowed to vary from the S-2-symmetric point (x,y)=(-1,1) to their current values in all 32 parameter sets. To estimate the enhancement of CP violation in such processes, a ratio R-Delta equivalent to Delta(CP)/Delta((0))(CP) is proposed between the running Delta(CP) and its current value, denoted by Delta((0))(CP), which is approximately 10(-20). In all 32 cases, the three-dimensional plots of R-Delta exhibit many regions that stick out of the R-Delta=10(10) plane, especially in regions very close to (x,y)=(-1,1). These results demonstrate that the SN-breaking Standard Model is already sufficient to violate CP symmetry explicitly and generate a significant amount of baryon asymmetry of the universe. Furthermore, it solves existing problems without creating new ones, at least in the scenario presented in this article.

Automated summary

This article investigates the violation of CP symmetry and the baryon asymmetry of the universe in the Standard Model. Numerical tests are conducted on 32 sets of candidate parameters using the Jarlskog measure of CP violation, and the results demonstrate that the Standard Model is already sufficient to explicitly violate CP symmetry and generate a significant amount of baryon asymmetry in the universe.