Radiative Corrections to the Decayπ0→γe+e−

We calculate the radiative corrections to the ${\pi }^0\to \gamma e^{+}{e}^{-}$ decay over the whole range of the Dalitz plot, with no restrictions on the radiative photon energy. The corrections are found to be negative and large in magnitude in the region of large invariant mass of the Dalitz pair, and small but positive for small values of the same quantity. The total correction to the decay rate, defined by ${\Gamma }^{\mathrm{rad}}\frac{({\pi }^0\to \gamma e^{+}{e}^{-})}{\Gamma ({\pi }^0\to \gamma \gamma )}$ is positive and agrees with the results of previous calculations.