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

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A remark on the Koide relation for quarks

A. Kartavtsev
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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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  1. 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.