Allowed. There are two tree-level Feynman diagrams: -channel Z boson exchange through the weak neutral current, and -channel formation through the weak charged current.
Past exam of the mathematics course of the University of Cambridge 2019 iii Paper 305 3 b Solution 2026-10-03
The first four-fermion operator is the low-energy Fermi interaction obtained by replacing the crossed propagator in the charged-current diagram by . The second operator is obtained analogously from the -exchange weak neutral current; and are its electron vector and axial-vector couplings. Thus the two terms represent respectively the charged-current and neutral-current diagrams in part (v), with their interference retained when the amplitude is squared.