We revisit the minimal supersymmetric $SU(5)$ grand unified theory with three right-handed neutrinos in which universality conditions for soft-supersymmetry breaking parameters are imposed at an input scale above the unification scale. If the Majorana masses for the neutrinos are around $10^{15}\mathrm{GeV}$, large mixing angles and phases in the neutrino sector lead to flavor violation and $CP$ violation in the right-handed down-squark and left-handed slepton sectors. Since the observed Higgs boson mass and the proton decay constraints indicate that sfermions have masses larger than a few TeV, flavor and $CP$ constraints are less restrictive. We explore the constraints on models with universal soft-supersymmetry breaking input parameters coming from proton stability, electric dipole moments, $\mu \to e\gamma$ decays, and the Higgs mass observed at the LHC. Regions compatible with all constraints can be found if nonzero $A$-terms are taken.

• Received 5 August 2018

DOI:https://doi.org/10.1103/PhysRevD.98.075030

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Published by the American Physical Society