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Two simple textures of the magic neutrino mass matrix

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arxiv 1812.10268 v1 pith:KI5BZYRB submitted 2018-12-26 hep-ph

Two simple textures of the magic neutrino mass matrix

classification hep-ph
keywords matrixmagicmassmixingneutrinosymmetrytexturesvanishing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Tri-Bimaximal (TBM) mixing predicts a vanishing $\theta_{13}$. This can be attributed to the inherited $\mu-\tau$ symmetry of TBM mixing. We break its $\mu-\tau$ symmetry by adding a complex magic matrix with one variable to TBM neutrino mass matrix with one vanishing eigenvalue. We present two such textures and study their phenomenological implications.

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  1. Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

    hep-ph 2026-05 unverdicted novelty 5.0

    CP phases φ1,2 in TM1,2 mixing equal rephasing invariants φ1 = -arg[U_e2 U_e3 U_μ1 U_τ1 / U_e1 det U] and φi = δ - arg[U_μi^0 U_τi^0].