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S u m m a r y . i ) The radiative corrections to the decay T:-~-lepton+~ have been calculated to order e 2 in the coupling constant and to order m~ in the neutrino mass. ii) The possibility of setting upper limits on the neutrino mass by measuring the photon spectrum in the radiative decay of pion is investigated, iii) The effect of the neutrino mass on the branching ratio (~:-+e)/(7:-~) is found to be small enough to elude experimental detection with the present experimental accuracies.

Radiative corrections to π → π (or e) +υ with finite neutrino mass