Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry

Details Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry

2009-09-28

arxiv.org/abs/0909.4997v1

Prog.Theor.Phys.123:271-283,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 figure

Scientific paper

10.1143/PTP.123.271

We investigate Dirac mass matrices derived in the gauge field theory of a horizontal symmetry generated by a central extension of the Pauli algebra. Through numerical analyses of the observed data of the charged fermion masses and the flavor mixing matrix of quarks, values of free parameters in the mass matrices are determined and several empirical relations are found among the Yukawa coupling constants. As one specific feature of the theory, we find different orderings in squared mass eigenvalues for the up and down quark sectors.

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