Supersymmetric Models with Higher Dimensional Operators

Abstract

In 4D renormalisable theories, integrating out massive states generates in the low energy effective action higher dimensional operators (derivative or otherwise). Using a superfield language it is shown that a 4D N=1 supersymmetric theory with higher derivative operators in either the Kahler or the superpotential part of the Lagrangian and with an otherwise arbitrary superpotential, is equivalent to a 4D N=1 theory of second order (i.e. without higher derivatives) with additional superfields and renormalised interactions. We provide examples where a free theory with trivial supersymmetry breaking provided by a linear superpotential becomes, in the presence of higher derivatives terms and in the second order version, a non-trivial interactive one with spontaneous supersymmetry breaking. The couplings of the equivalent theory acquire a threshold correction through their dependence on the scale of the higher dimensional operator(s). The scalar potential in the second order theory is not necessarily positive definite, and one can in principle have a vanishing potential with broken supersymmetry. We provide an application to MSSM and argue that at tree-level and for a mass scale associated to a higher derivative term in the TeV range, the Higgs mass can be lifted above the current experimental limits.

36 pages; some clarifications and references added

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• Causality, Analyticity and an IR Obstruction to UV Completion
• The Lee-Wick Standard Model
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Cited by in corpus (15)

• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• MSSM with Dimension-five Operators (MSSM_5)
• The Ghost Condensate in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• One-Loop Renormalization of Lee-Wick Gauge Theory
• Lee-Wick Theories at High Temperature
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higgs-otic Inflation and Moduli Stabilization
• Solving the mu problem with a heavy Higgs boson
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• DBI Inflation in N=1 Supergravity
• Supersymmetry Breaking in Spatially Modulated Vacua
• Naturalness in low-scale SUSY models and "non-linear" MSSM
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Flavour physics constraints in the BMSSM