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arxiv: 1111.0480 · v1 · pith:TWMWP6ZTnew · submitted 2011-11-02 · ✦ hep-ph

A remark on the Koide relation for quarks

classification ✦ hep-ph
keywords koidequarksrelationchargedclosedowngeneralizationgenerations
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The charged lepton masses obey to high precision the so-called Koide relation. We propose a generalization of this relation to quarks. It includes up and down quarks of the three generations and is numerically reasonably close to the Koide limit.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A minimization theorem for the Koide ratio and its Standard Model calibration

    hep-ph 2026-05 conditional novelty 7.0

    A theorem establishes that the one-particle extension of any Koide-ratio mass set reaches a unique minimum Qmin = Q0/(1+Q0) at m* = [(sum mi)/(sum sqrt(mi))]^2, with the lepton-plus-charm case landing 6 ppm above the ...

  2. A minimization theorem for the Koide ratio and its Standard Model calibration

    hep-ph 2026-05 unverdicted novelty 6.0

    Extending any positive-mass set by one particle minimizes the Koide ratio to Q0/(1+Q0) at m* = [(sum mi)/(sum sqrt(mi))]^2; adding the charm mass to leptons yields a value only 6 ppm above the ideal 2/5.