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 $\nu_\ell e$ and $\bar\nu_\ell e$ ($\ell=e,\mu,\tau$) 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 $\nu_\mu\rightarrow\nu_e$ 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.