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Minimal Supersymmetric Pati-Salam Theory: Determination of Physical Scales
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We systematically study the minimal supersymmetric Pati-Salam theory, paying special attention to the unification constraints. We find that the SU(4)_c scale M_c and the Left-Right scale M_R lie in the range 10^{10} GeV < M_c < 10^{14} GeV, 10^{3} GeV < M_R <10^{10} GeV (with single-step breaking at 10^{10} 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 mass of order M_R^2/M_c; magnetic monopoles of intermediate mass that do not conflict with cosmology, and a 'clean' (type I) form for the see-saw mechanism of neutrino mass.
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Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry
Three S3-modular Pati-Salam benchmark models fit 16 fermion mass and mixing observables and predict testable neutrino masses, Majorana phases, and neutrinoless double-beta decay rates.
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