We consider an extension of the standard model gauge symmetry to a local gauge group $\mathrm{S}\mathrm{U}(3{)}_C\otimes \mathrm{S}\mathrm{U}(3{)}_L\otimes \mathrm{U}(1{)}_X$ which is a subgroup of $\mathrm{S}\mathrm{U}(4{)}_{\mathrm{P}\mathrm{S}}\otimes \mathrm{S}\mathrm{U}(4{)}_{L+R}$. The symmetry breaking pattern is $\mathrm{S}\mathrm{U}(4)\to \mathrm{S}\mathrm{U}(3)\otimes \mathrm{U}(1)$ for both weak $\mathrm{S}\mathrm{U}(4{)}_{L+R}$ and strong Pati-Salam $\mathrm{S}\mathrm{U}(4{)}_{\mathrm{P}\mathrm{S}}$ group. The $\mathrm{S}\mathrm{U}(3{)}_C\otimes \mathrm{U}(1{)}_{B-L}\otimes \mathrm{S}\mathrm{U}(3{)}_L\otimes \mathrm{U}(1{)}_{Y1}$ (3-3-1-1) local gauge symmetry breaks to $\mathrm{S}\mathrm{U}(3{)}_C\otimes \mathrm{S}\mathrm{U}(3{)}_L\otimes \mathrm{U}(1{)}_X$ and generates a 3-3-1 model with three-generation, anomaly-free fermions which transform as bifundamentals of (3-3-1-1). The 3-3-1 model is of Pleitez-Frampton type but $\mathrm{S}\mathrm{U}(3{)}_L$ gauge bosons ($B-L=0$) do not include bilepton gauge boson. The neutral gauge bosons include $\gamma ,Z,Z^{\prime }$ and a fourth, heavy gauge boson $Z^{\prime \prime }$ which decouples from rest but can decay to ordinary fermions. An analysis for two-body decays of neutral $Z^{\prime }$ gauge boson is presented. From Yukawa interactions, the masses of all exotic fermions are obtained in the TeV region. This restricts $Z^{\prime }$ decays to exotic fermions. The $Z^{\prime }$ is also found to be leptophobic and decays mainly to quarks.

• Received 30 August 2004

DOI:https://doi.org/10.1103/PhysRevD.71.035009