Search for CP Violation with a Neutrino Factory

TL;DR

This paper explores the potential to detect genuine CP violation in neutrino oscillations using a neutrino factory, analyzing oscillation probabilities and asymmetries with consideration of current neutrino data and matter effects.

Contribution

It proposes a method to extract genuine CP violation effects from neutrino oscillation data in a three-family scheme, accounting for matter effects and current neutrino data.

Findings

The magnitude of $ abla P( _e o _)$ could reach 1% with large mixing angles.

Matter effects are negligible if $s_{13}$ is below 0.05 with maximal CP phase.

A method to isolate genuine CP violation effects from oscillation data is proposed.

Abstract

We have discussed the search of the genuine CP violation in a neutrino factory, in which well known neutrino beams are provided by a high intensity muon storage ring. Both $\Delta P(\n_\a \Ar \n_\b)$ and CP odd asymmetry $A_{CP}$ in neutrino oscillations are investigated by taking account of the atmospheric neutrino data and the solar neutrino data. If the large mixing angle MSW solution is taken, the magnitude of $\Delta P(\n_e \Ar \n_\m)$ could be 1%. If $s_{13}$ is lower than 0.05 with the maximal CP violating phase, the matter effect is negligible in $\Delta P(\n_e \Ar \n_\m)$ and $A_{CP}$. We have proposed how to extract the genuine CP violation effect in the three family scheme from the neutrino oscillation data $\Delta P(\n_e \Ar \n_\m)$, $\Delta P(\n_\m \Ar \n_e)$ and $\Delta P(\n_e \Ar \n_\tau)$.