Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-305/4/ii/solution

Two complex quark Yukawa matrices contain real parameters. Flavour-basis transformations remove , because the common baryon-number phase remains unbroken. Thus there are
physical parameters: quark masses, mixing angles, and complex phases. A physical phase exists only for and produces CP violation, equivalently time-reversal violation when CPT is conserved.

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