Radiative corrections to the Ke3± dalitz plot

The radiative corrections to the Dalitz plot in Ke3± decays are calculated assuming a phenomenological weak K-π vertex and using perturbation theory. The answer depends logarithmically on a cutoff, as is the case for nucleon β decay. An interesting feature of these decays is that they offer a means of measuring the q2 dependence of the form factors f±(q2). The radiative corrections contribute an additional energy dependence to the measurements which cannot be separated experimentally. It is found that the radiative corrections are considerable, i.e., greater than 3% in absolute magnitude, over a large portion of the Dalitz plot, and are not particularly sensitive to a reasonable choice of cutoff.