Neutrino oscillations: the rise of the PMNS paradigm

Abstract

Since the discovery of neutrino oscillations, the experimental progress in the last two decades has been very fast, with the precision measurements of the neutrino squared-mass differences and of the mixing angles, including the last unknown mixing angle ${\theta }_{13}$. Today a very large set of oscillation results obtained with a variety of experimental configurations and techniques can be interpreted in the framework of three active massive neutrinos, whose mass and flavour eigenstates are related by a 3 $\times$ 3 unitary mixing matrix, the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix, parameterized by three mixing angles ${\theta }_{12}$, ${\theta }_{23}$, ${\theta }_{13}$ and a CP-violating phase ${\delta }_{CP}$. The additional parameters governing neutrino oscillations are the squared-mass differences $\Delta m_{ji}^2=m_j^2-m_i^2$, where $m_i$ is the mass of the $i$th neutrino mass eigenstate. This review covers the rise of the PMNS three-neutrino mixing paradigm and the current status of the experimental determination of its parameters. The next years will continue to see a rich program of experimental endeavour coming to fruition and addressing the three missing pieces of the puzzle, namely the determination of the octant and precise value of the mixing angle ${\theta }_{23}$, the unveiling of the neutrino mass ordering (whether $m_1<m_2<m_3$ or $m_3<m_1<m_2$) and the measurement of the CP-violating phase \dcp.

82 pages, 31 figures. The revised version has a few typos corrected and one reference added

References in corpus (31)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Phenomenology with Massive Neutrinos
• Measurement of Neutrino Oscillation by the K2K Experiment
• Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period
• Neutrino oscillations refitted
• Statistical Significance of the Gallium Anomaly
• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Non-adiabatic Level Crossing in Resonant Neutrino Oscillations
• A new Generation of Standard Solar Models
• Status of non-standard neutrino interactions
• Sterile neutrino search at NEOS Experiment
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• General bounds on non-standard neutrino interactions
• Neutrino mass from Cosmology
• Improvement of low energy atmospheric neutrino flux calculation using the JAM nuclear interaction model
• Limits on sterile neutrino mixing using atmospheric neutrinos in Super-Kamiokande
• Progress and open questions in the physics of neutrino cross sections
• Charged-current neutrino-nucleus reactions within the SuSAv2-MEC approach
• Accelerator Neutrino Beams
• Neutrinophilic Non-Standard Interactions
• Neutrino Mass Hierarchy
• Limits on Active to Sterile Neutrino Oscillations from Disappearance Searches in the MINOS, Daya Bay, and Bugey-3 Experiments
• Dual baseline search for muon antineutrino disappearance at 0.1 eV^2 < Δm^2 < 100 eV^2
• Mass hierarchy, 2-3 mixing and CP-phase with Huge Atmospheric Neutrino Detectors
• Model Predictions for Neutrino Oscillation Parameters
• Improved search for ${\nu }_{\mu }\to {\nu }_e$ oscillation in a long-baseline accelerator experiment
• Interplay between Appearance and Disappearance Channels for Precision Measurements of ${\theta }_{23}$ and $\delta$
• The Physical Range of Majorana Neutrino Mixing Parameters
• Hint of non-standard dynamics in solar neutrino conversion

Cited by in corpus (29)

• Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1{)}_{L_{\mu }-L_{\tau }}$
• Combined sensitivity to the neutrino mass ordering with JUNO, the IceCube Upgrade, and PINGU
• Resonant Excitation of Quasinormal Modes of Black Holes
• Resonant Neutrino Self-Interactions
• Design and diagnostics of high-precision accelerator neutrino beams
• Tri-Partite entanglement in Neutrino Oscillations
• Neutrino oscillation in the $q$-metric
• Simulating neutrino oscillations on a superconducting qutrit
• Spin oscillations of neutrinos scattered off a rotating black hole
• Damping signatures at JUNO, a medium-baseline reactor neutrino oscillation experiment
• Projected NA62 sensitivity to heavy neutral lepton production in $K^{+}\to {\pi }^0{e}^{+}N$ decays
• Bilinear R-parity violating supersymmetry under the light of neutrino oscillation, higgs and flavor data
• Reviving keV sterile Neutrino Dark Matter
• Dark matter imprint on ${}^8$B neutrino spectrum
• JLab spectral functions of argon in NuWro and their implications for MicroBooNE
• Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings
• An on-shell approach to neutrino oscillations
• Nuclear effects in neutrino-nucleus DIS and probe for short range correlation
• Neutrino interactions in liquid scintillators including active-sterile neutrino mixing
• Probing the quantum speed limit and entanglement in flavor oscillations of neutrino-antineutrino system in curved spacetime
• Spontaneous CP Violation and Horizontal Symmetry in the MSSM: Toward Lepton Flavor Naturalness
• Markov Chain Monte Carlo analysis to probe trilinear $R$-parity violating SUSY scenarios and possible LHC signatures
• Indirect search of Heavy Neutral Leptons using the DUNE Near Detector
• Limits on active-sterile neutrino mixing parameters using heavy nuclei abundances
• Study of pion production in ${\nu }_{\mu }$ interactions on ${}^{40}$Ar in DUNE using GENIE and NuWro event generators
• νOscillation: a software package for computation and simulation of neutrino propagation and interaction
• Decays of heavy scalars in the Grimus-Neufeld model
• Embedding Generalized CP Symmetry in One Zero Texture Neutrino Mass Models
• Pion Production In ν μ Charged Current Interactions On {^{40}}ar In Deep Underground Neutrino Experiment