The Mass Difference of $F-\bar{F}$ with SO(3) Family Gauge Symmetry

Abstract

As a simple extension, a non-Abelian family gauge symmetry SO(3), as well as three family Majorana neutrinos, was introduced to explain the tri-bimaximal mixing matrix of neutrinos. We discuss the effect of the possible SO(3) family gauge interaction to the mass differences of $K-\bar{K}$, $B_d-{\bar{B}}_d$, $B_s-{\bar{B}}_s$ and $D-\bar{D}$, and get the constrains to the new gauge bosons.

11 pages,2 figures

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