The Flavor of the Composite Twin Higgs

Abstract

The assumption of anarchic quark flavor puts serious stress on composite Higgs models: flavor bounds imply a tuning of a few per-mille (at best) in the Higgs potential. Composite twin Higgs (CTH) models significantly reduce this tension by opening up a new region of parameter space, obtained by raising the coupling among the composites close to the strong coupling limit $g_{\ast }\sim 4\pi$, thereby raising the scale of composites to around 10 TeV. This does not lead to large tuning in the Higgs potential since the leading quantum corrections are canceled by the twin partners (rather than the composites). We survey the leading flavor bounds on the CTH, which correspond to tree-level $\Delta F=2$ four-Fermi operators from Kaluza-Klein (KK) Z exchange in the kaon system and 1-loop corrections from KK fermions to the electric dipole moment of the neutron. We provide a parametric estimate for these bounds and also perform a numeric scan of the parameter space using the complete calculation for both quantities. The results confirm our expectation that CTH models accommodate anarchic flavor significantly better than regular composite Higgs (CH) models. Our conclusions apply both to the identical and fraternal twin cases.

35 pages, 9 figures

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• Mirror Twin Higgs Cosmology: Constraints and a Possible Resolution to the $H_0$ and $S_8$ Tensions
• Composite Twin Dark Matter
• Precision Tests and Fine Tuning in Twin Higgs Models
• Effective Theory of Flavor for Minimal Mirror Twin Higgs
• The Brother Higgs
• Supersymmetric D-term Twin Higgs
• Heavy Higgs of the Twin Higgs Models
• A Predictive Mirror Twin Higgs with Small ${\mathbf{Z}}_2$ Breaking
• Tadpole-Induced Electroweak Symmetry Breaking and pNGB Higgs Models
• Phase Transitions in Twin Higgs Models
• Minimal Non-Abelian Supersymmetric Twin Higgs
• Testing the Scalar Sector of the Twin Higgs Model at Colliders
• Hypercharged Naturalness
• Singleton Portals to the Twin Sector
• Twin Higgs with Exact $Z_2$
• Relevant Dilaton Stabilization
• Collider Signals of the Mirror Twin Higgs through the Hypercharge Portal
• EFTs meet Higgs Nonlinearity, Compositeness and (Neutral) Naturalness
• Neutral-naturalness from a holographic SO(6)/SO(5) composite Higgs model
• First-order phase transitions in Twin Higgs models
• Twin Cogenesis
• Generating a Higgs Quartic
• Tree-level Quartic for a Holographic Composite Higgs
• The Left-Right Symmetric Composite Higgs
• Dilaton portal in strongly interacting twin Higgs models
• Breaking Mirror Twin Color
• Review of Neutral Naturalness