Renormalization Group Invariants in the MSSM and Its Extensions

Abstract

We derive one-loop renormalization group (RG) invariant observables and analyze their phenomenological implications in the MSSM and its μproblem solving extensions, U(1)' model and NMSSM. We show that there exist several RG invariants in the gauge, Yukawa and soft-breaking sectors of each model. In general, RG invariants are highly useful for projecting experimental data to messenger scale, for revealing correlations among the model parameters, and for probing the mechanism that breaks supersymmetry. The Yukawa couplings and trilinear soft terms in U(1)' model and NMSSM do not form RG invariants though there exist approximate invariants in low tan(beta). In the NMSSM, there are no invariants that contain the Higgs mass-squareds. We provide a comparative analysis of RG invariants in all three models and analyze their model-building and phenomenological implications by a number of case studies.

32 pages, 5 tables; extended previous analysis to include U(1)' models and NMSSM where a comparative discussion is given

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• The minimal U(1)' extension of the MSSM
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Cited by in corpus (12)

• The Next-to-Minimal Supersymmetric Standard Model
• Another step towards a no-lose theorem for NMSSM Higgs discovery at the LHC
• General Focus Point in the MSSM
• Determining the Structure of Supersymmetry-Breaking with Renormalization Group Invariants
• The pMSSM Interpretation of LHC Results Using Rernormalization Group Invariants
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Partially Natural Two Higgs Doublet Models
• Exact One-Loop Evolution Invariants in the Standard Model
• SUSY-Breaking Parameters from RG Invariants at the LHC
• Renormalisation group invariants and sum rules: fast diagnostic tools for probing high-scale physics
• Effects of Supersymmetric Threshold Corrections on High-Scale Flavor Textures
• RGIsearch: A C++ program for the determination of Renormalization Group Invariants