Invariants, Alignment and the Pattern of Fermion Masses and Mixing

G. C. Branco; J. I. Silva-Marcos

Invariants, Alignment and the Pattern of Fermion Masses and Mixing

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arxiv 1112.1631 v1 pith:LM5CTKRJ submitted 2011-12-07 hep-ph

G. C. Branco , J. I. Silva-Marcos This is my paper · ORCID

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keywords invariantsfermionmixingweak-basisalignmentflavourleptonmass

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We show that the main features of the pattern of fermion masses and mixing can be expressed in terms of simple relations among weak-basis invariants. In the quark sector, we identify the weak-basis invariants which signal the observed alignment of the up and down quark mass matrices in flavour space. In the lepton sector, we indicate how a set of conditions on weak-basis invariants can lead to an approximate tribimaximal lepton mixing matrix. We also show the usefulness of these invariants in the study of specific ans\"atze for the flavour structure of fermion mass matrices.

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Vector-like quark doublets allow CP violation in weak-basis invariants of mass dimension six; the resulting framework organizes the model's parameters, gives the complete CP-odd invariant set for one doublet, and link...

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