New Jarlskog determinant from Physics above the GUT Scal

TL;DR

This paper investigates how quantum gravitational effects at the Planck scale influence the Jarlskog determinant, which measures CP violation in the neutrino sector, by introducing additional neutrino mass matrix terms.

Contribution

It introduces a model for Planck scale effects on neutrino CP violation, assuming flavor-blind gravitational interactions, and computes the resulting Jarlskog determinant.

Findings

Planck scale effects induce additional neutrino mass matrix terms.

These effects lead to a non-zero Jarlskog determinant at high energies.

The approach links quantum gravity to observable CP violation in neutrinos.

Abstract

We study the Planck scale effects on Jarlskog determinant. Quantum gravitational (Planck scale) effects lead to an effective SU(2)_{L}\times U(1) invariant dimension-5 Lagrangian involving neutrino and Higgs fields, which gives rise to additional terms in neutrino mass matrix on electroweak symmetry breaking. We assume that gravitational interaction is flavor blind and compute the Jarlskog determinant due to the Planck scale effects. In the case of neutrino sector, the strength of CP violation is measured by Jarlskog determinant. In this paper, we assume CP violation arise from Planck scale effects. We applied our approach to study Jarlskog determinant due to the Planck scale effects.