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 −K, B d −B d , Bs −Bs and D −D, and get the constrains to the new gauge bosons.

Neutral kaon mixing beyond the standard model withnf=2+1chiral fermions

“…By combining B K with the experimental value of " K , one obtains important constraints on the free parameters associated with quark flavor mixing (see [7] for a recent pedagogical review). In principle, the same techniques can be applied for beyond the Standard Model (BSM) theories (see for example [8][9][10][11][12][13][14][15][16][17]), but not much is known concerning the long-distance contributions of the nonstandard operators beyond the quenched approximation.…”

SU(3)Fgauge family model and new symmetry breaking scale from FCNC processes

“…The mass difference between K 0 andK 0 can be calculated using methods in [32,54,55]. The Hamiltonian can be written as H = H 0 + H 2 , with H 0 refers to the strong and electromagnetic interaction parts, which conserves the strange number.…”

“…The flavour structure of Minimal Flavour Violation in quark and lepton sectors based on family symmetries have been discussed in [24][25][26][27][28]. Models based on other family symmetry, such as SO(3) F symmetry, have been discussed in [16,17,[29][30][31][32].…”