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Real and Imaginary Elements of Fermion Mass Matrices

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arxiv hep-ph/0603101 v3 pith:ZEXWR345 submitted 2006-03-14 hep-ph

Real and Imaginary Elements of Fermion Mass Matrices

classification hep-ph
keywords masstexturesfermionquarkelementsimaginarylinkedreal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Prompted by the recent better determination of the angles of the unitarity triangle, we re-appraise the problem of finding simple fermion mass textures, possibly linked to some symmetry principle and compatible with grand unification. In particular, the indication that the angle alpha is close to rectangle turns out to be the crucial ingredient leading us to single out fermion mass textures whose elements are either real or purely imaginary. In terms of the five parameters ascribed to the quark sector, these textures reproduce the eight experimental data on quark mass ratios and mixings within 1 sigma. When embedded in an SU(5) framework, these textures suggest a common origin for quark and lepton CP violations, also linked to the spontaneous breaking of the gauge group.

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Cited by 1 Pith paper

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  1. The Very Nearly Right Theory of Flavor

    hep-ph 2026-07 conditional novelty 6.0

    A systematic scan of all nine-link Yukawa textures shows the quark CP phase clusters at pi/8, pi/4, pi/2, 3pi/8, and yields precise, falsifiable predictions for the CKM unitarity triangle angles.