An $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\times \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_R\times \mathrm{U}{\mathrm{}\left(1\right)\mathrm{}}_B\times \mathrm{U}{\mathrm{}\left(1\right)\mathrm{}}_l$ model is described in which Abelian gauge symmetries are associated with the observed conservation in nature of baryon and lepton numbers. The triangle anomalies of the three families of quarks and leptons in the model are canceled by invoking leptoquark matter which is new fermionic matter that carries baryon as well as lepton numbers. In addition to the standard neutral boson ($Z^0$), the theory predicts two massive neutral gauge bosons. The lower bounds on their masses are in the few hundred GeV mass range which makes these particles prospective candidates for production at CERN LEP, the Fermilab Tevatron, and the Superconducting Super Collider.

• Received 24 July 1989

DOI:https://doi.org/10.1103/PhysRevD.40.3795