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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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11 pages,2 figures

Scientific paper

The three family fermions in the Standard Model have the similar characters except their mass or Yukawa couplings. As a simple extension, a non-Abelian family gauge symmetry SO(3) was introduced with three family Majorana neutrinos to explain the tri-bimaximal mixing matrix of neutrinos. In this note 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.

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