Real and Imaginary Elements of Fermion Mass Matrices

Details Real and Imaginary Elements of Fermion Mass Matrices Real and Imaginary Elements of Fermion Mass Matrices

2006-03-14

arxiv.org/abs/hep-ph/0603101v3

Nucl.Phys.B755:1-20,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 8 figures; v2=published version: enlarged discussion in Sec. 5 and 6, text improved, references added; v3: footnote

Scientific paper

10.1016/j.nuclphysb.2006.07.021

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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