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arXiv · 2606.10060

New sum rules of the Koide type

Alejandro Rivero
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Abstract

We report a mass rule of Koide type with inverse shape, \[m_i=M^{(d)} (w_0+w_i)^{-2}.\] It applies to the down-quark sector with numerical precision comparable to that of the direct charged-lepton sum rule $m_i=M^{(l)} (z_0+z_i)^{2}$. For central mass values, Koide ratio reaches exactly $2/3$ near 280 TeV under Standard Model renormalisation-group running. We also review other rules of the direct kind involving quarks.

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Alejandro Rivero. 2026-06-08. New sum rules of the Koide type. https://doi.org/10.1016/j.physletb.2026.140510

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