Abstract
We use the idea of partial compositeness in a minimal supersymmetric model to relate the fermion and sfermion masses. By assuming that the Higgs and third-generation matter is (mostly) elementary, while the first- and second-generation matter is (mostly) composite, the Yukawa coupling hierarchy can be explained by a linear mixing between elementary states and composite operators with large anomalous dimensions. If the composite sector also breaks supersymmetry, then composite sfermions such as selectrons are predicted to be much heavier than the lighter elementary stops. This inverted sfermion mass hierarchy is consistent with current experimental limits that prefer light stops ($\mathcal{O}(10)$ TeV) to accommodate the 125 GeV Higgs boson, while predicting heavy first- and second-generation sfermions (${\gtrsim 100}$ TeV) as indicated by flavor physics experiments. The underlying dynamics can be modelled by a dual 5D gravity theory that also predicts a gravitino dark matter candidate ($\gtrsim$ keV), together with gauginos and Higgsinos, ranging from 10-90 TeV, that are split from the heavier first- and second-generation sfermion spectrum. This intricate connection between the fermion and sfermion mass spectrum can be tested at future experiments.
Highlights
Supersymmetry provides a compelling theoretical framework for addressing some of the shortcomings of the Standard Model of particle physics
We have presented a partially composite supersymmetric model that assumes the first two generations of matter are composite, while the Higgs and third generation matter are elementary
The underlying dynamics responsible for the compositeness can be modeled with a dual 5D gravity theory that further predicts a gravitino lightest supersymmetric particle (LSP), together with gauginos and Higgsinos ranging from the lightest neutralino at 10 TeV to gluinos at 90 TeV
Summary
Supersymmetry provides a compelling theoretical framework for addressing some of the shortcomings of the Standard Model of particle physics These include dark matter, gauge coupling unification, and the stabilization of the hierarchy between the electroweak and Planck scales. A vital clue for determining the superpartner mass scale comes from the recent discovery of the 125 GeV Higgs boson [1,2] To obtain this mass in minimal supersymmetry, the Higgs quartic coupling must receive sizeable radiative corrections. These can arise from the top quark superpartners (or stops), provided that the lightest stop has mass of Oð10Þ TeV. In this way the fermion mass hierarchy determines the sfermion mass hierarchy and predicts an inverted mass spectrum. In light of the Higgs boson discovery, this enables us to obtain specific quantitative predictions for the sparticle spectrum that can be used to help guide future experimental searches
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