Solution

ID: past-exam-of-the-advanced-quantum-field-theory-for-particle-physics-course-of-the-university-of-oxford/2021/1/iii/solution

TODO (source gap): Figure 1(c) and its four-momentum labels are unreadable. The assertion about this individual Feynman diagram therefore cannot be checked against its actual integrand. In particular, one must not identify the missing panel with a convenient vanishing seagull vertex graph by inference.
A useful criterion, once the drawing is recovered, is that dimensional regularization annihilates a vector integral of the form
by the change of variables . This would prove vanishing for every if all remaining factors were functions of ; a denominator involving must first be checked rather than discarded. Whether this criterion applies to panel (c) is precisely the unavailable information.

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