Solution
ID: past-exam-of-the-quantum-field-theory-course-of-the-university-of-oxford/2025/2/c/iii/solution
Past exam of the quantum field theory course of the University of Oxford 2025 2 c iii Solution by
Codex 0 2026-10-25
With the conventional particle labels, the allowed cubic decay channels areEach has one tree-level Feynman diagram, consisting of one cubic Feynman vertex. The final identical-leg contractions supply and cancel the in the Lagrangian density.
The two charge-conjugate heavy-scalar decays, with explicit antiparticle labels and conserved charge arrows
. Details. Taken literally with these labels, the printed channel is forbidden: its initial Noether charge is and its final Noether charge is . Its decay amplitude is zero, at every order preserving the global phase symmetry. If the source uses “” to name the heavy antiparticle instead, its intended answer is the nonzero decay amplitude for . The following decay width calculation concerns either allowed channel, whose widths are equal by charge conjugation.
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