Monte Carlo event generation of neutrino-electron scattering

We describe an extension of the NuWro Monte Carlo neutrino event generator with the neutrino-electron scattering processes. This new dynamical channel includes the charged current and neutral current interactions, together with their interference, for ${\nu }_{\mathrm{\ell }}e$ and ${\bar{\nu }}_{\mathrm{\ell }}e$ ($\mathrm{\ell }=e,\mu ,\tau$) scatterings, resulting in ten possible final states. We illustrate the performance of the new functionality on few physical examples, including an estimation of the background in the T2K ${\nu }_{\mu }\to {\nu }_e$ oscillation experiment. We show that the background events arising from the neutrino-electron interactions occupy mostly a distinct region of the phase space and can be easily separated.