Non-diagonal Charged Lepton Yukawa Matrix: Effects on Neutrino Mixing in Supersymmetry

TL;DR

This paper investigates the impact of non-diagonal charged lepton Yukawa matrices on neutrino mixing, demonstrating that common assumptions of diagonality can lead to significant inaccuracies in supersymmetric models.

Contribution

It challenges the standard assumption of diagonal charged lepton mass matrices in neutrino physics within supersymmetry, showing the importance of considering off-diagonal elements.

Findings

Significant modifications in solar and reactor mixing angles due to non-diagonal matrices

Analytical and numerical evidence from two supersymmetric models

Questioning the validity of the diagonalization approximation in neutrino studies

Abstract

Generally the diagonalization of the mass matrix of the charged leptons is a part of the neutrino UPMNS matrix. However, usually this contribution is ignored by assuming a diagonal mass matrix for charged leptons. In this letter we test this common assumption in the context of neutrino physics. Our analytical and numerical results for two supersymmetric models reveal that such a simplification is not justified. Especially for the solar and reactor mixing angles important modifications are found.