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New sum rules of the Koide type

arXiv Physics Wednesday 10 June 2026, 03:49 UTC By Alejandro Rivero 1 min read
Key Points

arXiv:2606.10060v1 Announce Type: new 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.

arXiv:2606.10060v1 Announce Type: new 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.
Koide (PERSON) TeV (ORG) Standard Model (ORG)
Originally published by arXiv Physics Read original →

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