The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.
Low-energy signals of strongly-coupled electroweak symmetry-breaking scenarios
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abstract
The non-observation of new particles at the LHC suggests the existence of a mass gap above the electroweak scale. This situation is adequately described through a general electroweak effective theory with the established fields and Standard Model symmetries. Its couplings contain all information about the unknown short-distance dynamics which is accessible at low energies. We consider a generic strongly-coupled scenario of electroweak symmetry breaking, with heavy states above the gap, and analyze the imprints that its lightest bosonic excitations leave on the effective Lagrangian couplings. Different quantum numbers of the heavy states imply different patterns of low-energy couplings, with characteristic correlations which could be identified in future data samples. The predictions can be sharpened with mild assumptions about the ultraviolet behaviour of the underlying fundamental theory.
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A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching
The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for real and complex multiplets.