Processes with precisely known cross sections, like neutrino-electron elastic scattering ($\nu e^{-}\to \nu e^{-}$) and inverse muon decay (${\nu }_{\mu }{e}^{-}\to {\mu }^{-}{\nu }_e$) have been used by $\mathrm{M}\mathrm{I}\mathrm{N}\mathrm{E}\mathrm{R}\nu \mathrm{A}$ to constrain the uncertainty on the neutrinos at the main injector (NuMI) neutrino beam flux. This work presents a new measurement of neutrino elastic scattering with electrons using the medium energy ${\overline{\nu }}_{\mu }$-enhanced NuMI beam. A sample of 578 events after background subtraction is used in combination with the previous measurement on the ${\nu }_{\mu }$ beam and the inverse muon decay measurement to reduce the uncertainty on the ${\nu }_{\mu }$ flux in the ${\nu }_{\mu }$-enhanced beam from 7.6% to 3.3% and the ${\overline{\nu }}_{\mu }$ flux in the ${\overline{\nu }}_{\mu }$-enhanced beam from 7.8% to 4.7%.

• Received 19 September 2022
• Accepted 1 December 2022

DOI:https://doi.org/10.1103/PhysRevD.107.012001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society