Energy scale independence of Koide's relation for quark and lepton masses

Details Energy scale independence of Koide's relation for quark and lepton masses Energy scale independence of Koide's relation for quark and lepton masses

2006-01-05

arxiv.org/abs/hep-ph/0601031v2

Phys.Rev. D73 (2006) 013009

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 Latex pages, 2 figures, final version to appear in PRD

Scientific paper

10.1103/PhysRevD.73.013009

Koide's mass relation of charged leptons has been extended to quarks and neutrinos, and we prove here that this relation is independent of energy scale in a huge energy range from $1 {GeV}$ to $2\times10^{16} {GeV}$. By using the parameters $k_u$, $k_d$ and $k_{\nu}$ to describe the deviations of quarks and neutrinos from the exact Koide's relation, we also check the quark-lepton complementarity of masses such as $k_{l}+k_{d} \approx k_{\nu}+k_{u} \approx 2$, and show that it is also independent (or insensitive) of energy scale.

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