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Single photon production $ν_l N\rightarrow ν_l N γ$ in neutrino-nucleon scattering

The quasielastic charged current (CCQE) $ν_e n \rightarrow e^- p$ scattering is the dominant mechanism to detect appearance of a $ν_e$ in an almost $ν_μ$ flux at the 1 GeV scale. Actual experiments show a precision below 1% and between less known background contributions, but necessary to constraint the event excess, we have the radiative corrections. A consistent model recently developed for the simultaneous description of elastic and radiative $πN$ scattering, pion-photoproduction and single pion production processes, both for charged and neutral current neutrino-nucleon scattering, is extended for the evaluation of the radiative $ν_l N\rightarrow ν_l N γ$ cross section. Our results are similar to a previous (but inconsistent) theoretical evaluation in the low energy region, and show an increment in the upper region where the $Δ$ resonance becomes relevant.