Remark on Koide's Z 3 -symmetric parametrization of quark masses

@article{enczykowski2012RemarkOK,
  title={Remark on Koide's Z 3 -symmetric parametrization of quark masses},
  author={Piotr Żenczykowski},
  journal={Physical Review D},
  year={2012},
  volume={86},
  pages={117303}
}
The charged lepton masses may be parametrized in a Z3-symmetric language appropriate to the discussions of Koide's formula. The phase parameter \delta_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 \delta_U=\delta_L/3=2/27 and \delta_D=2\delta_L/3=4/27. 
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