Remark on Koide's Z3-symmetric parametrization of quark masses

Abstract

The charged lepton masses may be parametrized in a Z3-symmetric language appropriate to the discussions of Koide's formula. The phase parameter δ_L appearing in this parametrization is experimentally indistinguishable from 2/9. We analyse Koide's parametrization for the up (U) and down (D) quarks and argue that the data are suggestive of the low-energy values δ_U=δ_L/3=2/27 and δ_D=2δ_L/3=4/27.

6 pages, 1 figure, minor improvements in wording

References in corpus (5)

• Permutation Symmetry S_3 and VEV Structure of Flavor-Triplet Higgs Scalars
• On the Koide-like Relations for the Running Masses of Charged Leptons, Neutrinos and Quarks
• Energy scale independence of Koide's relation for quark and lepton masses
• Tribimaximal Neutrino Mixing and a Relation Between Neutrino- and Charged Lepton-Mass Spectra
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Cited by in corpus (3)

• Koide's Z_3-symmetric parametrization, quark masses and mixings
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• Modified Newtonian dynamics and hadronic scales