A Finite Group Analysis of the Quark Mass Matrices and Flavor Dynamics
Abstract
We perform a finite group analysis on the quark mass matrices. We argue that the dominant terms should be proportional to class operators of the group and that symmetry breaking to split the mass spectrum and simultaneous diagonalizability to suppress flavor changing neutral currents can be accomplished at this point. The natural setting is a multiscalar model and the scalar doublets can have masses of the weak scale without any parameter tuning. When we specialize to $S_3$ as the group of choice, we arrive at the results that the dominant mass terms are $\lhook $democratic$\rhook $ and that the ratios of light masses and the Cabbibo angle $\cong ({m_d\over m_s})^{1\over 2}$ are all given by group parameters in the breaking of $S_3$ to $S_2$. A large mass expansion is then performed and a generalized Wolfenstein parameterization is given. Further breaking by way of introducing heavylight transitions in the downtype mass matrix is here related to the heavylight CabbiboKobayashiMaskawa elements.
 Publication:

arXiv eprints
 Pub Date:
 July 1995
 arXiv:
 arXiv:hepph/9507207
 Bibcode:
 1995hep.ph....7207Y
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 12 pages in plain TeX