U(3)$\times$[U(1)]${}^3$ Model and Visible Family Gauge Boson Effects

Abstract

A U(3) family gauge boson model is investigated based on U(3)$\times$[U(1)]${}^3$ gauge symmetry. In this model, of nine U(3) family gauge bosons $A_i^j$, those with $i=j$ are considerable heavy compared with those with $i\ne j$, so that the model can be released from severe constraints due to the observed $K^0$-${\bar{K}}^0$ mixing, and so on. We speculate that the lightest gauge boson is $A_2^3$ and its mass is of $2-6$ TeV. Thereby, visible effects of the family gauge bosons are discussed. Especially, an observation of ${\mu }^{-}+N\to e^{-}+N$ versus no observation of $\mu \to e+\gamma$ will be a promising test for the present scenario.

Comments: This paper has been withdrawn by the author due to a vital mistake for mass M^2_{ij} (i \neq j) (not that with i=j). 10 pages, no figure