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Simplified Unitarity Triangles for the Lepton Sector

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arxiv hep-ph/0511201 v2 pith:YXC2JUP6 submitted 2005-11-16 hep-ph

Simplified Unitarity Triangles for the Lepton Sector

classification hep-ph
keywords mixingleptonmatrixtrianglesunitarityanglesapproximationcomparison
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the nu_2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter U_e3 of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will faciltate comparison with experiment.

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Cited by 1 Pith paper

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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].