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Is the HEFT matching unique?

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arxiv 2311.16897 v3 pith:5FLXT6YB submitted 2023-11-28 hep-ph

classification hep-ph
keywords heftmatchingmodelmodelsparametersdifferentextensionhiggs
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Physics beyond the Standard Model (BSM) can be described in a consistent and general way through the Higgs Effective Field Theory (HEFT). Measurements of model-independent HEFT coefficients allow one to constrain the parameter space of BSM models via a matching procedure. In this work, we show that this procedure is not unique and depends on the scalings of the parameters of the Lagrangian. As examples, we consider three BSM models: the real singlet extension of the SM with a $Z_2$ symmetry, the complex singlet extension (CSE) of the SM and the 2 Higgs Doublet Model. We discuss several physical observables, and show that different scalings of the model parameters with the UV scale in the matching to the HEFT can yield quite different results. This complicates the interpretation of HEFT measurements in terms of parameters of BSM models. Additionally, as a by-product, we report the first matching of the CSE to the HEFT.

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Cited by 1 Pith paper

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  1. A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching

    hep-ph 2024-11 conditional novelty 6.0 of 10

    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...

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