Flavor Mixing Democracy and Minimal CP Violation

Abstract

We point out that there is a unique parametrization of quark flavor mixing in which every angle is close to the Cabibbo angle θ_C \simeq 13^\circ with the CP-violating phase ϕ_q around 1^\circ, implying that they might all be related to the strong hierarchy among quark masses. Applying the same parametrization to lepton flavor mixing, we find that all three mixing angles are comparably large (around π/4) and the Dirac CP-violating phase ϕ_l is also minimal as compared with its values in the other eight possible parametrizations. In this spirit, we propose a simple neutrino mixing ansatz which is equivalent to the tri-bimaximal flavor mixing pattern in the ϕ_l \to 0 limit and predicts \sinθ_13 = 1/\sqrt{2} \sin (ϕ_l/2) for reactor antineutrino oscillations. Hence the Jarlskog invariant of leptonic CP violation J_l = (\sinϕ_l)/12 can reach a few percent if θ_13 lies in the range 7^\circ \leq θ_13 \leq 10^\circ.

Latex 12 pages. Minor changes, references added. Accepted for publication in Phys. Lett. B

References in corpus (10)

• Observation of electron-antineutrino disappearance at Daya Bay
• Updated Values of Running Quark and Lepton Masses
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Possible Alternatives to Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Impacts of the Higgs mass on vacuum stability, running fermion masses and two-body Higgs decays
• Right Unitarity Triangles, Stable CP-violating Phases and Approximate Quark-Lepton Complementarity
• Real and Imaginary Elements of Fermion Mass Matrices
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• Phenomenology of Discrete Flavour Symmetries

Cited by in corpus (10)

• Flavor structures of charged fermions and massive neutrinos
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Neutrino mass ordering and μ-τreflection symmetry breaking
• The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations
• Weakly-induced strong CP-violation
• Model-independent access to the structure of quark flavor mixing
• A bottom-up approach to the strong CP problem
• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?
• Generating the Cabibbo Angle in Flavored Gauge Mediation Models with Discrete Non-Abelian Symmetries
• Implications of equalities among the elements of CKM and PMNS matrices