Dilations and Light--Heavy Neutrino Mixings

K Bielas,W Flieger

doi:10.5506/aphyspolb.48.2213

Abstract

Dilations and Light--Heavy Neutrino Mixings

Highlights

Neutrino physics is a fascinating area of present experimental and theoretical research
We focus on the last issue and show how the procedure of a unitary dilation of contractions from Vosc to the higher-dimensional unitary beyond the Standard Model (BSM) mixing matrix can be used
Present PMNS-based global mixing data can be confronted with additional limits on mixings between Standard Model (SM) and BSM neutrino fields

Summary

Introduction

Neutrino physics is a fascinating area of present experimental and theoretical research. Many important physical phenomena can be explained as long as new additional massive neutrino states exist [6,7,8] Hints of such new physics in the neutrino sector can be hidden, e.g. in the neutrino mixing matrix as a deviation from unitarity of the PMNS mixing matrix. We focus on the last issue and show how the procedure of a unitary dilation of contractions from Vosc to the higher-dimensional unitary BSM mixing matrix can be used. In this way, present PMNS-based global mixing data can be confronted with additional limits on mixings between SM and BSM neutrino fields

Unitary dilation

Constraints for the light–heavy mixing

Analysis

Summary