A New Approach to Texture Analysis of Quark Mass Matrices.pdf

A NEW APPROACH TO TEXTURE ANALYSIS OF QUARK MASS MATRICES GUO-HONG WU Institute of Theoretical Science, University of Oregon, Eugene, OR 97403, USA E-mail: wu@dirac.uoregon.edu 0 0 The triangular basis is proposed as an efficient way of analyzing general quark mass matrices. Applying the method to hermitian hierarchical matrices with five texture 0 zeros, analytic predictions for quark mixing can be readily obtained. One unique 2 texture pair is found most favorable with present data. Some remarks are also r made concerning parallel textures between the up and down quark mass matrices p with four zeros. A 5 1 Mass matrices in the triangular basis 1 Texture analysis of quark mass matrices1 has been a subject of interest for over v two decades, and the advent of new data has rendered many popular textures 6 3 into oblivion. A general and systematic approach based on the observed 0 mass and mixing spectrum becomes both welcome and necessary. What we 4 summarize here is one such approach using triangular matrices. 0 It is recently observed2 that, as a result of the chiral nature of the elec- 0 troweak force and the observed hierarchical structure among quark masses 0 / and mixing angles, the ten physical parameters of the quark mas