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arxiv: hep-ph/0510289 · v1 · submitted 2005-10-21 · ✦ hep-ph · hep-ex

A New Look at an Old Mass Relation

classification ✦ hep-ph hep-ex
keywords massrelationmixingneutrinoaroundatmosphericchargeddata
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New data from neutrino oscillation experiments motivate us to extend a successful mass relation for the charged leptons to the other fundamental fermions. This new universal relation requires a Dirac mass around 3 10^-2 eV for the lightest neutrino and rules out a maximal atmospheric mixing. It also suggests a specific decomposition of the CKM mixing matrix.

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Cited by 2 Pith papers

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    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 ...

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    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.