Phenomenology of Neutrino Oscillations
S. M. Bilenky, C. Giunti, W. Grimus
TL;DR
This review delivers a comprehensive framework for neutrino mixing and oscillations, detailing Dirac and Majorana mass structures, vacuum and matter effects, and the experimental landscape from atmospheric, solar, and LSND data. It develops the formalism for general $n$-neutrino mixing via a unitary matrix $U$, addresses CP phases, and investigates three- and four-neutrino mass schemes including sterile states and see-saw scenarios. The work also discusses effective field theory perspectives through the dimension-5 Weinberg operator and outlines maximal and pseudo-Dirac mixing regimes, connecting theoretical mass-generation mechanisms to observable oscillation phenomena. Together, these results guide the interpretation of current data and the design of future oscillation experiments, with implications for lepton-number violation, CP violation in the lepton sector, and the overall neutrino mass hierarchy.
Abstract
This review is focused on neutrino mixing and neutrino oscillations in the light of the recent experimental developments. After discussing possible types of neutrino mixing for Dirac and Majorana neutrinos and considering in detail the phenomenology of neutrino oscillations in vacuum and matter, we review all existing evidence and indications in favour of neutrino oscillations that have been obtained in the atmospheric, solar and LSND experiments. We present the results of the analyses of the neutrino oscillation data in the framework of mixing of three and four massive neutrinos and investigate possibilities to test the different neutrino mass and mixing schemes obtained in this way. We also discuss briefly future neutrino oscillation experiments.