mu - tau reflection symmetry in lepton mixing and neutrino oscillations

By P. Harrison, W. G. Scott. 2002

265 citations recorded by the source corpus.

We examine the possibility that the lepton mixing matrix may exhibit a strong form of μ–τ universality, in which corresponding elements of the μ- and τ-neutrino flavour eigenstates have equal moduli, and find that it is consistent with present data on neutrino oscillations. We point out that in the Dirac case, this is equivalent to symmetry under μ–τ reflection, i.e., the combined operation of μ–τ flavour exchange in the MNS matrix with a CP transformation on the whole leptonic sector. We give the most general form for such a mixing matrix, examine the lepton mass matrices under such a symmetry, and explore the observable manifestations of the symmetry in neutrino oscillations.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/038dfc38c8e5fdf8088ce11b254da202e5e29c13

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In Nuclear and High Energy Physics

1. S. King
2. Z. Xing
3. C. Luhn
4. W. Grimus
5. Gui-Jun Ding
6. Alexander J. Stuart
7. L. Lavoura
8. F. Feruglio

Citations in the corpus

• A non-standard CP transformation leading to maximal atmospheric neutrino mixing (2003, background): “In Ref. [ 7 ], Harrison and Scott (HS) suggested that the lepton mixing matrix may satisfy |Uµj| = |U�j| for j = 1,2,3 , (4)”
• Improved measurement of neutrino oscillation parameters by the NOvA experiment (2021, unknown): “In the case of maximal mixing, θ23 = π/4, νμ and ντ couple equally to ν3 [19], which suggests a μ − τ symmetry.”
• CP and discrete flavour symmetries (2012, unknown): “[19–28].”
• Flavor structures of charged fermions and massive neutrinos (2019, background): “The 3 × 3 Majorana neutrino mass matrix Mν with an exact μ-τ reflection symmetry is of the following form [439, 468, 516, 743, 854, 855]:”
• Spontaneous CP violation from vacuum alignment in S4 models of leptons (2013, background): “Despite these fundamental studies, there has been only little work on constructing explicit models which realise the idea of combining family and generalised CP symmetries [18–27].”