  We re-investigate the radiative charged kaon decay K+- --> pi0 e+- nu_e gamma
in chiral perturbation theory, merging the chiral expansion with Low's theorem.
We thoroughly analyze the precision of the predicted branching ratio relative
to the non-radiative decay channel. Structure dependent terms and their impact
on differential decay distributions are investigated in detail, and the
possibility to see effects of the chiral anomaly in this decay channel is
emphasized.
