The doublet-triplet splitting problem in supersymmetric grand unified theories is elegantly solved in a supersymmetric $\mathrm{SO}{\mathrm{}\left(10\right)\mathrm{}}_{\mathrm{GUT}}\times \mathrm{SO}{\mathrm{}\left(6\right)\mathrm{}}_H$ model. In this model, the gauginos in the supersymmetric standard model do not respect the usual grand unified theory (GUT) gaugino mass relation. We point out that in spite of nonunified gaugino masses, there is one nontrivial relation among gaugino masses in the model. Thus, it can be used to test the model in future experiments.

• Received 4 June 1999

DOI:https://doi.org/10.1103/PhysRevD.60.117701