CP violation is present in the weak interactions if
- There are no degeneracies in the up-quark/down-quark matrices
- The Jarlskog invariant J=Im(VusVcbV∗ubV∗cs) is nonvanishing
Furthermore, all CP violating effects are proportional to J.
I am getting stuck on showing how all CP violating effects are proportional to J. Also, is the Jarlskog invariant a well-known mathematical property of a unitary matrix? What is it quantifying? I'd like to know this to the extent I can generalize this to larger CKM matrices.
Edit: I did a bad job writing my question. I rewrite it here:
Question:
- How do I constructively derive J=Im(VusVcbV∗ubV∗cs), and how do I generalize this to arbitrary n×n unitary matrices ?
- The Jarlskog invariant is invariant under a change of basis. What is the elegant way of showing this?
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