Radiative corrections in neutrino-deuterium scattering

Abstract

The radiative corrections for neutrino-deuterium scattering are computed for the charged-current (CC) reaction, ${\nu }_e+\overrightarrow{d}{p+p+e}^{-},$ and for the neutral-current (NC) reaction, ${\nu }_x+\overrightarrow{d}p+n+{\nu }_x.$ Nonrelativistic kinematics are used for the hadrons, which considerably simplifies the calculations. The impact radiative corrections have on the observables to be detected in the Sudbury Neutrino Observatory (SNO) are discussed and for most observables is found to be negligible. Only in the case where the internal bremsstrahlung photons emitted in the reaction ${\nu }_e+\overrightarrow{d}{p+p+e}^{-}+\gamma$ are detected, is the expectation for the ratio of the number of CC to the number of NC events seen in SNO shifted by about one standard deviation.