Mass Matrices and Their Renormalization

Shao-Hsuan Chiu, T. K. Kuo, Tae-Hun Lee, Chi Xiong

Published 2008-11-12, updated 2009-01-31Version 3

We obtain explicitly the renormalization group equations for the quark mass matrices in terms of a set of rephasing invariant parameters. For a range of assumed high energy values for the mass ratios and mixing parameters, they are found to evolve rapidly and develop hierarchies as the energy scale decreases. To achieve the experimentally observed high degree of hierarchy, however, the introduction of new models with specific properties becomes necessary.