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The problem of second-order radiative corrections to general semileptonic weak decays is considered. Previous results on ultraviolet divergences in the calculations for zero-momentum-transfer decays can be proven for the general process, provided that the models of the strong interactions are restricted to renormalizable theories of elementary fermion fields coupled to neutral massive vector bosons through a conserved vector current. A possible method for calculating finite radiative corrections to actual processes is also discussed.
Preparata et al. (Mon,) studied this question.