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

TL;DR

This paper explores how an SO(3) family gauge symmetry and Majorana neutrinos influence meson mass differences, providing constraints on new gauge bosons based on these effects.

Contribution

It introduces an SO(3) non-Abelian family gauge symmetry and Majorana neutrinos to explain neutrino mixing and analyzes their impact on meson mass differences.

Findings

Constraints on new gauge bosons from meson mass difference measurements

Impact of SO(3) gauge interaction on $K-ar{K}$, $B_d-ar{B}_d$, $B_s-ar{B}_s$, and $D-ar{D}$ systems

Extension of neutrino mixing models with 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.