Solution

ID: past-exam-of-the-nuclear-and-particle-physics-course-of-the-university-of-oxford/2022/1/a/solution

With the valence quark assignments and , neutral kaon mixing changes strangeness by two units. A representative leading Standard Model contribution is a box Feynman diagram with two W bosons and two internal up-type quarks:
The two lines exchange the two W bosons. There are four weak charged current interaction vertices, so the scattering amplitude is fourth order in the weak gauge coupling, or second order in the Fermi constant. The full result sums the internal quark flavors with their Cabibbo-Kobayashi-Maskawa matrix factors; one box alone illustrates the mechanism.
Figure 1.
Representative charged-current box and two- and three-pion kaon decay diagrams
. Details.

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