CKM substructure from the weak to the Planck scale

Yuval Grossman, Ameen Ismail, Joshua T. Ruderman, Tien Hsueh Tsai

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We look for relations among CKM matrix elements that are not consequences of the Wolfenstein parametrization. In particular, we search for products of CKM elements raised to integer powers that approximately equal 1. We study the running of the CKM matrix elements and resolve an apparent discrepancy in the literature. To a good approximation only A runs, among the Wolfenstein parameters. Using the Standard Model renormalization group we look for CKM relations at energy scales ranging from the electroweak scale to the Planck scale, and we find 19 such relations. These relations could point to structure in the UV, or be numerical accidents. For example, we find that |VtdVus| = |Vcb2|, within 2% accuracy, in the 109–1015 GeV range. We discuss the implications of this CKM relation for a Yukawa texture in the UV.

Original languageEnglish
Article number65
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2022
Externally publishedYes

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  • CKM Parameters
  • Theories of Flavour


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