Abstract

Motivated by the latest neutrino oscillation data which is consistent with maximal atmospheric mixing and maximal leptonic CP violation, we review various results in μτ symmetry, then include several new observations and clarifications, including identifying a new general form of neutrino mass matrix with μτ symmetry. We then apply the new results to the neutrino mass matrix associated with the Littlest Seesaw model, and show that it approximately satisfies the new general form with μτ symmetry, and that this is responsible for its approximate predictions of maximal atmospheric mixing and maximal CP violation in the lepton sector.

Highlights

  • Neutrino oscillation experiments have provided the first laboratory evidence for new physics beyond the Standard Model (BSM) in the form of neutrino mass and mixing [1], the nature of neutrino mass and lepton flavour mixing remains unknown [2,3]

  • We apply the new results to the neutrino mass matrix associated with the Littlest Seesaw model, and show that it approximately satisfies a general form of μτ symmetry, and that this is responsible for its approximate predictions of maximal atmospheric mixing and maximal CP violation in the lepton sector

  • Motivated by the latest data which is consistent with maximal atmospheric mixing and maximal CP violation, we have provided a timely survey of various results in μτ symmetry, including several new observations and clarifications

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Summary

Introduction

Neutrino oscillation experiments have provided the first laboratory evidence for new physics beyond the Standard Model (BSM) in the form of neutrino mass and mixing [1], the nature of neutrino mass and lepton flavour mixing remains unknown [2,3]. The latest neutrino data seems to be consistent with the hypothesis of maximal atmospheric mixing and maximal CP violation in the lepton sector. In this paper, motivated by the latest neutrino oscillation data which is consistent with maximal atmospheric mixing and CP violation, we give a timely survey of various results in μτ symmetry, making several new observations and clarifications along the way. We apply the new results to the neutrino mass matrix associated with the Littlest Seesaw model, and show that it approximately satisfies a general form of μτ symmetry, and that this is responsible for its approximate predictions of maximal atmospheric mixing and maximal CP violation in the lepton sector. Appendix B makes the connection of the general form of Mν with μτ symmetry with CP transformations

Other types of μτ symmetry: μτ -U and μτ -R
Rephasing invariants for Hν with μτ symmetry
General form of Mν with μτ symmetry
Neutrino mass matrices related by μτ conjugation
Littlest seesaw and approximate μτ symmetry
Accidental implementations of μτ symmetry
Example
Conclusion
A Proof that μτ -R symmetric Hν implies and is implied by μτ -U PMNS mixing
B CP basis

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