Nearly Invariance of Jarlskog Determinant due to Planck Scale Effects

TL;DR

This paper investigates how Planck scale effects influence neutrino mixing and finds that the Jarlskog determinant remains nearly unchanged, indicating robustness of CP violation measures at fundamental levels.

Contribution

It derives neutrino mixing angles considering Planck scale effects and demonstrates the near invariance of the Jarlskog determinant under these effects.

Findings

Jarlskog determinant remains nearly invariant despite Planck scale effects

Planck scale effects induce changes in neutrino mixing angles

CP violation measures are robust against Planck scale modifications

Abstract

An asymmetry between the probabilities P(\nu_{\mu}\to\nu_{e}) and P(\bar{\nu_{\mu}}\to\bar{\nu_{e}}) would be direct indication of CP violation at the fundamental level. Planck scale effects on neutrino mixing, we have derived the mixing angles of neutrino flavour due to Planck scale effects. It has been shown that Jarlskog determinant remains nearly invariant due to Planck scale effects.