  The lowest order radiative corrections (RC) to width and spectra of radiative
$\pi e2$ decay are calculated. We take into account virtual photon emission
contribution as well as soft and hard real photon emission one. The result
turns out to be consistent with the standard Drell-Yan picture for the width
and spectra in the leading logarithmical approximation which permits us to
generalize it to all orders of perturbation theory. Explicit expressions of
nonleading contributions are obtained. The contribution of short distance is
found to be in agreement with Standard Model predictions. It is presented as a
general normalization factor. We check the validity of the
Kinoshita-Lee-Nauenberg theorem about cancellation in the total width of the
mass singularities at zero limit of electron mass. We discuss the results of
the previous papers devoted to this problem. The Dalitz plot distribution is
illustrated numerically.
