The gauge boson masses for a minimal $SU(4)_{EW} \otimes U(1)_{B-l}$ model for electroweak interactions with left-right symmetry

Abstract

Gauge boson masses for a minimal $SU(4)_{EW} \otimes U(1)_{B-l}$ model]{Following the general procedure of spontaneous symmetry breaking of a $SU(4)_{EW} \otimes U(1)_{B-l}$ electroweak gauge group with left-right symmetry, we obtain the gauge boson masses and currents for the minimal version of the model. The physical eigenstates for neutral gauge bosons are determined by introducing two mixing angles $θ_4$ and $θ_3$ which are related to the electroweak mixing angle $θ_w$ at the unification scale. By introducing some physical approaches in order to simplify the calculations, we calculate the charged and neutral currents. Differently from other previous propositions, the results are obtained from a theoretical constraint upon the coupling constants as a consequence of embedding the symmetry into the Pati-Salam electroweak coupling $SU(4)_{EW} \otimes SU(4)_{PS}$.