Abstract
We explore the possibility of solving the hierarchy problem by combining the paradigms of supersymmetry and compositeness. Both paradigms are under pressure from the results of the Large Hadron Collider (LHC), and combining them allows both a higher confinement scale — due to effective supersymmetry in the low energy theory — and heavier superpartners — due to the composite nature of the Higgs boson — without sacrificing naturalness. The supersymmetric Randall-Sundrum model provides a concrete example where calculations are possible, and we pursue a realistic model in this context. With a few assumptions, we are led to a model with bulk fermions, a left-right gauge symmetry in the bulk, and supersymmetry breaking on the UV brane. The first two generations of squarks are decoupled, reducing LHC signatures but also leading to quadratic divergences at two loops. The model predicts light W ′ and Z ′ gauge bosons, and present LHC constraints on exotic gauge bosons imply a high confinement scale and mild tuning from the quadratic divergences, but the model is otherwise viable. We also point out that R-parity violation can arise naturally in this context.
Highlights
With the observation of a 125 GeV Higgs boson at the Large Hadron Collider (LHC) [1, 2], the final piece of the Standard Model (SM) is in place
We explore the possibility of solving the hierarchy problem by combining the paradigms of supersymmetry and compositeness
A generic problem with models which extend the Minimal Supersymmetric Standard Model (MSSM) with additional new physics at the TeV scale is that this typically requires a nontrivial coincidence between the supersymmetry breaking scale and the scale associated to the MSSM extension [36], such as a mass scale or a confinement scale associated to the new physics
Summary
With the observation of a 125 GeV Higgs boson at the LHC [1, 2], the final piece of the Standard Model (SM) is in place. The Higgs and the stops are composite, with no direct coupling to the SUSY-breaking sector and soft masses generated by gaugino mediation and/or anomaly and radion mediation Models of this type have been considered previously in e.g. We encounter a number of issues which will affect earlier models as well, such as two-loop quadratic divergences due to decoupling the first two generations of squarks and light exotic gauge bosons necessitated by a previously recognized U(1) D-term problem [43, 48] These issues are related to the use of the RS GIM mechanism to solve the flavor problem, and may have analogues in other composite SUSY models.
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