Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-305/4/b/solution

CP conjugates the charged-current coupling and replaces by . CP is conserved only if quark-field rephasings can make the entire matrix real. For three generations an irreducible phase prevents this. Equivalently, the rephasing-invariant Jarlskog invariant
is nonzero for distinct rows and columns. Since changes sign under complex conjugation, proves CP violation in electroweak interactions.

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