Relation between CPT Violation in Neutrino masses and mixings

TL;DR

This paper explores the possibility of CPT violation in neutrino physics by proposing a mass matrix that accounts for observed differences between neutrino and anti-neutrino parameters, and analyzes experimental constraints.

Contribution

It introduces a CPT violating mass matrix model that explains differences in neutrino and anti-neutrino parameters and examines experimental data constraints.

Findings

Proposes a CPT violating mass matrix consistent with observed parameter differences.

Analyzes constraints from current neutrino and anti-neutrino data.

Suggests future experiments could clarify CPT violation signals.

Abstract

The neutrino parameters determined from the solar neutrino data and the anti-neutrino parameters determined from KamLAND reactor experiment are in good agreement with each other. However, the best fit points of the two sets differ from each other by about $10^{-5}$ eV$^2$ in mass-square differenc and by about $2^\circ$ in the mixing angle. Future solar neutrino and reactor anti-neutrino experiments are likely to reduce the uncertainties in these measurements. This, in turn, can lead to a signal for CPT violation in terms a non-zero difference between neutrino and anti-neutrino parameters. In this paper, we propose a CPT violating mass matrix which can give rise to the above differences in both mass-squared difference and mixing angle and study the constraints imposed by the data on the parameters of the mass matrix.