# Perturbed invariant under a cyclic permutation with trace of neutrino mass matrix remain constant - High Energy Physics - Phenomenology

Abstract: We construct a neutrino mass matrix $M { u}$ via a seesaw mechanism whithperturbed invariant under a cyclic permutation by introducing one parameter$\delta$ into the diagonal elements of $M { u}$ with assumption that trace ofthe perturbed $M { u}$ is equal to trace of the unperturbed $M { u}$. Wefound that the perturbed neutrino mass matrices $M { u}$ can predicts themass-squared difference $\Delta m {ij}^{2} eq 0$ with the possible hierarchyof neutrino mass is normal or inverted hierarchy. By using the advantages ofthe mass-squared differences and mixing parameters data from neutrinooscillaton experiments, we obtained neutrino masses in inverted hierarchy withmasses: $|m {1}|=0.101023$ eV, $|m {2}|=0.101428$ eV, and $|m {3}|=0.084413$eV.

Author: Asan Damanik

Source: https://arxiv.org/