## Grants and Contracts Details

### Description

Elastic neutrino-electron scattering is an important process at accelerator based neutrino experiments. The
process has negligible hadronic uncertainty making it an incisive tool for normalizing neutrino flux, a critical
issue for oscillation experiments. However the process is subject to large radiative corrections that differ
according to the precise experimental conditions and detector resolutions. This paper collects existing
results and new calculations for radiative corrections to total and differential cross sections in elastic
neutrino-electron scattering accompanied by a single photon, ƒËe ¨ ƒËe(ƒÁ), where ƒË denotes any flavor of
neutrino or antineutrino. Calculations are performed within the Fermi effective theory, neglecting corrections
of order EƒË 2/m2 W (where mW~ 80GeV), and neglecting second order electroweak corrections of order ƒ¿2.
Analytic results for the electron]energy spectrum and for the total electromagnetic energy spectrum are presented.
Double-differential cross sections are presented w.r.t. electron energy and electron scattering angle,
and w.r.t. electromagnetic (electron plus photon) energy and electron scattering angle. The triple-differential
cross section is presented w.r.t. electron angle, electron energy and photon energy. Illustrative applications
to accelerator based neutrino experiments are discussed.

Status | Finished |
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Effective start/end date | 9/1/19 → 12/31/19 |

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