The coupling constants for an electroweak model with a $SU(4{)}_{PS}\otimes SU(4{)}_{EW}$ unification symmetry

We introduce the sequence of spontaneous symmetry breaking of a coupling between Pati-Salam and electroweak symmetries $SU(4{)}_{PS}\otimes SU(4{)}_{EW}$ in order to establish a mathematically consistent relation among the coupling constants at grand unification energy scale. With the values of baryon minus lepton quantum numbers of known quarks and leptons, by including right-handed neutrinos, we can find the mixing angle relations at different energy levels up to the electromagnetic $U(1{)}_{EM}$ scale.