English

Relation between quark masses and weak mixings

High Energy Physics - Phenomenology 2011-02-01 v2

Abstract

Simple transformation formulas between fermion matrices and observables, and numerical values of quark matrices, are obtained on a particular weak basis with one quark matrix diagonal and the other with vanishing elements 1-1, 1-3 and 3-1, and with only the element 2-2 complex. When we choose MuM_u diagonal, then MdM_d shows intriguing numerical properties which suggest a four parameter description of it, which implies Vusmd/msV_{us}\simeq \sqrt{m_d/m_s}, Vcb(3/5)(ms/mb)V_{cb}\simeq (3/\sqrt{5})(m_s/m_b) and Vub(1/5)(mdms/mb)V_{ub}\simeq (1/\sqrt{5})(\sqrt{m_d m_s}/m_b). Few comments on mass-mixing relations are added.

Keywords

Cite

@article{arxiv.hep-ph/9806496,
  title  = {Relation between quark masses and weak mixings},
  author = {D. Falcone and F. Tramontano},
  journal= {arXiv preprint arXiv:hep-ph/9806496},
  year   = {2011}
}

Comments

8 pages LaTeX, no figures. Some misprints corrected and reference style changed

R2 v1 2026-07-22T14:44:39.048Z