Discovering $CP$ violation in neutrino oscillation experiment using neutrino beam from electron capture

TL;DR

This study explores the potential of using mono-energetic neutrino beams from electron capture processes to detect $CP$ violation in neutrino oscillations, showing promising results especially with $^{110}_{50}$Sn nuclei at certain baselines.

Contribution

It introduces a novel approach of utilizing electron capture neutrino beams for $CP$ violation studies, analyzing different nuclei and baselines for optimal discovery potential.

Findings

$^{110}_{50}$Sn can detect $CP$ violation for 80% of $ heta$ phase values at 130 km baseline.

Mono-energetic neutrino beams are feasible for $CP$ violation studies with current technology.

$^{152}$Yb is less effective despite technical advantages for producing mono-energetic beams.

Abstract

Considering the recently obtained value of $\theta_{13}$ from Daya Bay and other reactor experiments we have studied the prospects of considering mono-energetic neutrino beam in studying $CP$ violation in the leptonic sector. Using a neutrino beam from electron capture process for nuclei $^{110}_{50}$Sn and $^{152}$Yb and considering two baselines - 130 Km and 250 Km with Water Cherenkov detector, we have shown the discovery reach of $CP$ violation in neutrino oscillation experiment. Particularly for $^{110}_{50}$Sn nuclei $CP$ violation could be found for about 80% of the possible $\delta$ values for a baseline of 130 km with boost factor $\gamma = 500$. This result is obtained with conservative choice of neutrino energy resolution using the possible vertex resolution at the detector and taking into account beam spreading. The nuclei $^{152}$Yb is although more suitable technically for the production of mono-energetic beam, but is found to be not so suitable for good discovery reach of $CP$ violation.