Minimal supersymmetric Pati-Salam theory: Determination of physical scales

We systematically study the minimal supersymmetric Pati-Salam theory, paying special attention to the unification constraints. We find that the $\mathrm{SU}{\mathrm{}\left(4\right)\mathrm{}}_c$ scale $M_c$ and the left-right scale $M_R$ lie in the range ${10}^{10}\mathrm{GeV}<M_c<{10}^{14}\mathrm{GeV},$ ${10}^3\mathrm{GeV}<M_R<{10}^{10}\mathrm{GeV}$ (with single-step breaking at ${10}^{10}\mathrm{GeV}),$ giving a potentially accessible scale of parity breaking. The theory includes the possibility of having doubly charged supermultiplets at the supersymmetry breaking scale, color octet states with a mass $\sim M_R^2{/M}_c,$ magnetic monopoles of intermediate mass that do not conflict with cosmology, and a “clean” (type I) form for the seesaw mechanism of the neutrino mass.