CP-violation in neutrino oscillations

TL;DR

This paper quantitatively analyzes CP-violating effects in neutrino oscillations, considering three and four neutrino scenarios, and discusses their implications for current and future long-baseline experiments.

Contribution

It provides a detailed analysis of CP violation effects in neutrino oscillations, including matter effects and potential impacts on experimental measurements, especially in long-baseline experiments.

Findings

CP-violating effects can be larger than expected in long-baseline $ u_ o u_e$ experiments.

Measuring CP violation could provide insights into the solar oscillation frequency.

Large CP-violation effects are possible in four-neutrino scenarios in certain channels.

Abstract

We study in a quantitative way CP-violating effects in neutrino oscillation experiments in the light of current and future data. Different scenarios with three and four neutrinos are worked out in detail including matter effects in long baseline experiments and it is shown that in some cases CP-violating effects could affect the analysis of a possible measurement. In particular in the three neutrino case we find that the effects can be larger than expected, at least in long-baseline $\nu_\mu\to\nu_e$. Moreover, measuring these effects could give useful information on the solar oscillation frequency. In four neutrino scenarios large effects are possible both in the $\nu_\mu\to\nu_\tau$ and $\nu_\mu\to\nu_e$ channels of long-baseline experiments, whereas short-baseline experiments are affected only marginally.