All tree-level unitarity conditions in spin-≤1 theories are captured by four- and five-point amplitudes and can be diagnosed from particle content alone.
Towards a Realistic Model of Higgsless Electroweak Symmetry Breaking
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abstract
We present a 5D gauge theory in warped space based on a bulk SU(2)_L x SU(2)_R x U(1)_(B-L) gauge group where the gauge symmetry is broken by boundary conditions. The symmetry breaking pattern and the mass spectrum resembles that in the standard model (SM). To leading order in the warp factor the rho parameter and the coupling of the Z (or equivalently the S-parameter) are as in the SM, while corrections are expected at the level of a percent. From the AdS/CFT point of view the model presented here can be viewed as the AdS dual of a (walking) technicolor-like theory, in the sense that it is the presence of the IR brane itself that breaks electroweak symmetry, and not a localized Higgs on the IR brane (which should be interpreted as a composite Higgs model). This model predicts the lightest W, Z and photon resonances to be at around 1.2 TeV, and no fundamental (or composite) Higgs particles.
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The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.
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Explicit Conditions for Diagnosing Tree-Level Unitarity
All tree-level unitarity conditions in spin-≤1 theories are captured by four- and five-point amplitudes and can be diagnosed from particle content alone.
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The Intrinsic and Extrinsic Hierarchy Problems
The Hierarchy Problem splits into Intrinsic (RG-induced cutoff sensitivity) and Extrinsic (UV augmentation making IR theory appear finetuned) versions, with the latter formalized as a paradox whose solutions are classified by premise violations.