Higher Derivative Operators from Transmission of Supersymmetry Breaking on S_1/Z_2

Abstract

We discuss the role that higher derivative operators play in field theory orbifold compactifications on S_1/Z_2 with local and non-local (Scherk-Schwarz) breaking of supersymmetry. Integrating out the bulk fields generates brane-localised higher derivative counterterms to the mass of the brane (or zero-mode of the bulk) scalar field, identified with the Higgs field in many realistic models. Both Yukawa and gauge interactions are considered and the one-loop results found can be used to study the ``running'' of the scalar field mass with respect to the momentum scale in 5D orbifolds. In particular this allows the study of the behaviour of the mass under UV scaling of the momentum. The relation between supersymmetry breaking and the presence of higher derivative counterterms to the mass of the scalar field is investigated. This shows that, regardless of the breaking mechanism, (initial) supersymmetry cannot, in general, prevent the emergence of such operators. Some implications for phenomenology of the higher derivative operators are also presented.

29 pages, LaTeX. Added Section 4 ("Phenomenological implications: living with ghosts?") and Appendix B

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• A review of naturalness and dark matter prediction for the Higgs mass in MSSM and beyond
• Higgs Bosons in Warped Space, from the Bulk to the Brane
• The MSSM from Scherk-Schwarz Supersymmetry Breaking
• (Reverse) Engineering Vacuum Alignment
• Higher Derivative Operators from Scherk-Schwarz Supersymmetry Breaking on T^2/Z_2
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• Gauge Mediated Supersymmetry Breaking in Five Dimensions
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Effective operators in SUSY, superfield constraints and searches for a UV completion
• Threshold effects near the compactification scale for gauge couplings on orbifolds
• A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence
• The Electroweak Symmetry Breaking Riddle