Real and Imaginary Elements of Fermion Mass Matrices

Abstract

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.

25 pages, 8 figures; v2=published version: enlarged discussion in Sec. 5 and 6, text improved, references added; v3: footnote 11 added

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Cited by in corpus (16)

• Flavour physics of leptons and dipole moments
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Phenomenology of flavon fields at the LHC
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• The Matrix of Unitarity Triangle Angles for Quarks
• Flavor Mixing Democracy and Minimal CP Violation
• Radiative Corrections to the CKM Unitarity Triangles
• SO(10) unified models and soft leptogenesis
• Distinguishing between the twin $b$-flavored unitarity triangles on a circular arc
• Exotic particles below the TeV from low scale flavour theories
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• The flavor-blind principle: A symmetrical approach to the Gatto-Sartori-Tonin relation
• Fermion masses as mixing parameters in the SM