Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2015/iii/paper-47/3/a/ii/solution

There are two diagrams: the -channel Z boson exchange from the weak neutral current, and a crossed -channel W boson exchange from the weak charged current. The charged-current vertices pair the incoming neutrino with the outgoing Electron and the incoming Electron with the outgoing neutrino . The exchanged momentum has square . With charge flow from the first vertex to the second, the exchanged boson is . The corresponding panels show both topologies; no photon or Higgs diagram survives the stated neutrino assumptions.

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