On extraction of oscillation parameters

TL;DR

This paper presents a method to extract neutrino oscillation parameters directly from observable muon energy and angle distributions, avoiding neutrino energy reconstruction, and evaluates its statistical accuracy using T2K data.

Contribution

It introduces a novel approach to determine oscillation parameters directly from measurable quantities, bypassing the need for neutrino energy reconstruction.

Findings

Method effectively compares muon distributions to Monte Carlo predictions.

Statistical errors are evaluated using T2K neutrino beam data.

Approach simplifies oscillation parameter extraction process.

Abstract

We discuss methods to extract neutrino oscillation parameters based on the directly observable quantities, without reconstruction of neutrino energy. The distributions of muon energies and production angles are compared to Monte Carlo predictions made for a set of different neutrino oscillation parameters. The method is applied to T2K neutrino beam and tested for a set of MC data samples in order to evaluate the statistical error.