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The minimal renormalizable SUSY SO(10) model is a very compact and predictivetheory. It was very popular till one realized that it cannot account for themasses of the neutrinos. The best cure to this problem is to add the 120 Higgsrepresentaion, the 'next to minimal' version. To reduce the number of freeparameters, it was suggested in recent papers to use only real parameters inthe superpotential and induce CP violation via complex VEVs. This is what oneusually calls 'spontaneous CP violation'. The number of free parameters turnedout, then, to be even smaller than in the original minimal model and good fitsto all known masses and mixings were obtained. Out of those papers only that ofAulakh and Garg discusses how CP is spontaneously violated. Some heavy MSSMsinglet VEVs generate a phase at high scale and CP violationis carried down tothe CKM matrix by the mixing of the scalar MSSM doublets. They study the modelin great detail and give a large set of solutions. As a proof of principle, twoof the solutions are shown to induce realistic phenomenological fits. It is notclear, however, how the right physical solution is obtained. I study the waysolutions for spontaneous CP violation affect the scalar potential. The onethat gives the lowest minimum of the potential, in terms of a given set ofparameters, is the right physical one. In the way of doing so, I will provethat complex MSSM singlet VEVs lead actually to lower minima than the real (CPconserving) ones. This proves that CP is spontaneously violated in this model.

Spontaneous CP Violation in next to minimal renormalizable SUSY SO(10)