I read something here http://cosmology.princeton.edu/~mcdonald/examples/EP/lee_pr_9_143_74.pdf
The observed CP violation is assumed to be due to the spontaneous symmetry-breaking mechanism; the Lagrangian is CP invariant but its particular solution is not.
I think that Higgs Potential is only a particular way which physicists took advantage of to explain this difference to export a mass function (exist also negative mass, not only 'positive' mass) not to explain real difference between CP violation and spontaneous symmetry breaking deeper.
Higgs Potential is a set of matrix/equations solutions that physicists borrowed for using spontaneous symmetry breaking to explain a mechanism that can be 'exported' (or valued like in Computer Science) to enhance a particular extension of Vector Field: a mass (a scalar), in fact: (I don't know if negative mass -2kg can be explained using Higgs Potential)
** I read from wiki
The Higgs field, through the interactions specified (summarized, represented, or even simulated) by its potential, induces spontaneous breaking of three out of the four generators ("directions") of the gauge group U(2). This is often written as SU(2) × U(1), (which is strictly speaking only the same on the level of infinitesimal symmetries) because the diagonal phase factor also acts on other fields in particular quarks
Higgs Potential $\rightarrow$ induce a SBS but to have a CP violation we need to change SOMETHING about Higgs Potential to have a new, extended Higgs Potential: CP-Violating Higgs Potentials
So, if also Higgs Potential can be CP violated :
- What role plays spontaneous symmetry breaking if SBS is explained by Higgs Potential ?
- Is CP violation a Homomorphism of Higgs Potential ?