Abstract
We present a class of supersymmetric models in which symmetry considerations alone dictate the form of the soft SUSY breaking Lagrangian. We develop a class of minimal models, denoted as sMSSM—for flavor symmetry-based minimal supersymmetric standard model—that respect a grand unified symmetry such as and a non-Abelian flavor symmetry which suppresses SUSY-induced flavor violation. Explicit examples are constructed with the flavor symmetry being gauged and with the three families transforming as and representations, respectively. A simple solution is found in the case of for suppressing the flavor violating –terms based on an exchange symmetry. Explicit models based on without the –term problem are developed. In addition, models based on discrete non-Abelian flavor groups are presented which are automatically free from –term issues. The permutation group with a family assignment, as well as the tetrahedral group with a assignment are studied. In all cases, a simple solution to the SUSY problem is found, based on spontaneous violation leading to a complex quark mixing matrix. We develop the phenomenology of the resulting sMSSM, which is controlled by seven soft SUSY breaking parameters for both the assignment and the assignment of fermion families. These models are special cases of the phenomenological MSSM (pMSSM), but with symmetry restrictions. We discuss the parameter space of sMSSM compatible with LHC searches, -physics constraints and dark matter relic abundance. Fine-tuning in these models is relatively mild, since all SUSY particles can have masses below about 3 TeV.
- Received 7 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.056001
© 2014 American Physical Society