Koide's Z_3-symmetric parametrization, quark masses and mixings
arXiv:1301.4143 · doi:10.1103/PhysRevD.87.077302
Abstract
The sets of charged-lepton (L) and quark (D,U) masses may be parametrized in a Z_3-symmetric language appropriate for the discussion of Koide's formula. Experiment suggests that at the low-energy scale the relevant phase parameters δ_f take on possibly exact values of δ_L=3δ_D/2=3δ_U=2/9. For k_f (the other parameter relevant for the pattern of masses), a similarly simple expression (k_L=1) is known for charged leptons only. Using the Fritzsch-Xing decomposition of quark-mixing matrices, we show that the suggested pattern of low-energy quark masses is consistent with an earlier conjecture that k_{D,U} \approx 1 in the weak basis.
arXiv comment8 pages, 2 figures, some clarifications added, results unchanged
References in corpus (8)
- Mass and Flavor Mixing Schemes of Quarks and Leptons
- Flavor Symmetries and the Description of Flavor Mixing
- On the Parametrization of Flavor Mixing in the Standard Model
- On the Koide-like Relations for the Running Masses of Charged Leptons, Neutrinos and Quarks
- Extended Empirical Fermion Mass Relation
- Tribimaximal Neutrino Mixing and a Relation Between Neutrino- and Charged Lepton-Mass Spectra
- A New Look at an Old Mass Relation
- Remark on Koide's Z3-symmetric parametrization of quark masses