QED radiative corrections for accelerator neutrinos.

Area of Science:

• Particle Physics
• Neutrino Physics
• Quantum Field Theory

Background:

• Neutrino oscillation experiments seek to establish charge-parity violation.
• Accurate measurement of electron and muon neutrino cross sections is crucial.
• Existing theoretical models for electron neutrino cross sections are poorly constrained.

Purpose of the Study:

• To develop a theoretical framework for precise calculation of neutrino cross sections.
• To address the challenge of differing quantum electrodynamics radiative corrections for electrons and muons.
• To improve the accuracy of predictions for neutrino oscillation experiments.

Main Methods:

• Establishment of a factorization theorem for exclusive charged-current (anti)neutrino scattering.
• Separation of cross sections into flavor-universal and non-universal factors.
• Exact calculation of non-universal factors in perturbation theory.

Main Results:

• Demonstrated cancellation of uncertainties in the ratio of electron and muon neutrino cross sections for elastic scattering.
• Identified the impact of non-collinear energetic photons and lepton spectra distortion.
• Provided precise predictions for inclusive observables.

Conclusions:

• The developed factorization theorem enables precise predictions for neutrino cross sections.
• This work significantly enhances the accuracy of theoretical inputs for neutrino oscillation experiments.
• The findings will aid in the search for charge-parity violation in the neutrino sector.