arXiv:hep-ph/9211317·v1·High Energy Physics — Phenomenology

Model of the Quark Mixing Matrix

Jonathan L. Rosner🇺🇸 · Mihir P. Worah (Enrico Fermi Institute and Department of Physics, University of Chicago)🇺🇸

Abstract

The structure of the Cabibbo-Kobayashi-Maskawa (CKM) matrix is analyzed from the standpoint of a composite model. A model is constructed with three families of quarks, by taking tensor products of sufficient numbers of spin-1/2 representations and imagining the dominant terms in the mass matrix to arise from spin-spin interactions. Generic results then obtained include the familiar relation $∣ V_{u s} ∣ = (m_{d} / m_{s})^{1/2} - (m_{u} / m_{c})^{1/2}$ , and a less frequently seen relation $∣ V_{c b} ∣ = 2 [(m_{s} / m_{b}) - (m_{c} / m_{t})]$ . The magnitudes of $V_{u b}$ and $V_{t d}$ come out naturally to be of the right order. The phase in the CKM matrix can be put in by hand, but its origin remains obscure.

Comments: Presented by Mihir P. Worah at DPF 92 Meeting, Fermilab, November, 1992. 3 pages, LaTeX file