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 δL 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 δU=δL/3=2/27 and δD=2δL/3=4/27.

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