A comment on lepton mixing

TL;DR

This paper analyzes how kinetic mixing of right-handed neutrinos affects lepton mixing, mass eigenstates, and observable phenomena like neutrino oscillations and magnetic moments, providing insights into potential deviations from standard predictions.

Contribution

It introduces a detailed examination of kinetic mixing effects on lepton mixing and explores implications for weak interactions and neutrino phenomenology.

Findings

Kinetic mixing can alter lepton mixing matrices.

Mass eigenstates may not be well-defined due to mixing.

Observable effects include modifications to magnetic moments and decay processes.

Abstract

Since right-handed neutrinos, if added to the Standard Model, have no gauge interactions, their kinetic terms can be mixed. I examine the related rotations of the gauge eigenstates in order to derive the propagators for the kinetic and mass terms, and I comment on the resulting lepton mixing, on the possibility of not having well-defined mass eigenstates, and on the modifications to weak contributions and observables (anomalous magnetic moment, muon decay, neutrino oscillations).