An inverse Koide sum rule is reported for down quarks with comparable numerical precision to the lepton rule, reaching Koide ratio 2/3 at 280 TeV under SM RG running.
A new Koide tuple: strange-charm-bottom
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abstract
With the negative sign for $\sqrt m_s$, the quarks strange, charm and bottom make a Koide tuple. It continues the c-b-t tuple previously found by Rodejohann and Zhang and, more peculiar, it is quasi-orthogonal to the original lepton triplet.
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New sum rules of the Koide type
An inverse Koide sum rule is reported for down quarks with comparable numerical precision to the lepton rule, reaching Koide ratio 2/3 at 280 TeV under SM RG running.