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.
Weinberg,A Model of Leptons,Phys
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Weyl x SU(2)L x U(1)Y gauge theory with quadratic curvature generates Einstein-Hilbert action, Higgs potential, and Standard Model masses via spontaneous Weyl symmetry breaking.
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
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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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Spontaneous Symmetry Breaking and the Emergent Einstein-Standard Model: From Weyl x SU (2)L x U (1)Y Gauge Theory to Geometric Mass Generation
Weyl x SU(2)L x U(1)Y gauge theory with quadratic curvature generates Einstein-Hilbert action, Higgs potential, and Standard Model masses via spontaneous Weyl symmetry breaking.
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Physical implications of a double right-handed gauge symmetry
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.