Dark Matter in Composite Higgs

About

The Hierarchy problem and the WIMP miracle both point toward new physics at the TeV scale. In this talk, we explore a scenario where these two puzzles share a common origin within a Composite Higgs framework. For simplicity we use the minimal Composite Higgs SO(5)/SO(4) and assume that the Dark Matter is the next-to-lightest composite resonance of this sector. As such, its mass is tied to the compositeness scale, and its interactions are dictated by the underlying global symmetry. The Dark Matter behaves as a WIMP with additional strong interactions involving the Higgs. A key feature of this framework is the accidental stability of the Dark Matter. We present models featuring an accidental $Z_2$ symmetry embedded in the global symmetry of the composite sector, which is preserved by all partial compositeness mixings. This provides a dynamical reason for the stability of the particle, avoiding the need for ad-hoc parity assignments. We then compute the annihilation cross-section and the resulting relic abundance. This allows us to determine the thermal relic Dark Matter mass as a function of the coupling, which is directly linked to the confinement scale of the composite sector. Finally, we compare the constraints from direct detection with collider bounds and precision tests.

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