Physicists Report New Mass Sum Rules for Quarks Following Koide Pattern
Researchers have discovered a new mass rule for down quarks that follows the Koide pattern with inverse geometry, achieving numerical precision comparable to established charged-lepton mass rules. The Koide ratio—a mathematical relationship among particle masses—reaches exactly 2/3 at approximately 280 TeV under Standard Model renormalization-group running. This finding extends the mysterious Koide pattern, which has long intrigued physicists as a potential clue to deeper principles governing particle mass hierarchies.
A new preprint submitted to arXiv reports the discovery of a Koide-type mass rule for the down-quark sector with an inverse mathematical form: m_i = M^(d)(w_0 + w_i)^(-2). This rule achieves numerical precision comparable to the direct charged-lepton sum rule m_i = M^(l)(z_0 + z_i)^2, suggesting a deeper symmetry in how particle masses are organized. The authors demonstrate that for central mass values, the Koide ratio reaches exactly 2/3 near 280 TeV when accounting for Standard Model renormalization-group running. The paper also reviews other direct-type mass rules involving quarks. The work has been accepted for publication in Physics Letters B, a peer-reviewed journal, indicating it has passed editorial scrutiny.
What's missing
The study does not discuss potential theoretical mechanisms explaining why the Koide pattern emerges, nor does it address whether this pattern suggests physics beyond the Standard Model. The paper also does not compare this result to alternative mass-generation frameworks or discuss experimental implications for testing these relationships.
What different sources said
- arXiv physicsCenter
New sum rules of the Koide type
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