Abstract
We study the Higgs derivative interactions on models including arbitrary number of the Higgs doublets. These interactions are generated by two ways. One is higher order corrections of composite Higgs models, and the other is integrating out heavy scalars and vectors. In the latter case, three point couplings between the Higgs doublets and them are the sources of the derivative interactions. The representations of these heavy particles are constrained to couple with the doublets. We explicitly calculate the all derivative interactions generated by integrating out. Their degrees of freedom and conditions to impose the custodial symmetry are discussed. We also study the vector boson scattering processes with a couple of two Higgs doublet models to see experimental signals of the derivative interactions. They are differently affected by each heavy field.
Highlights
Some general features of the Higgs derivative interactions have been investigated by Refs. [19,20] in the context of composite N Higgs doublet models
We show the derivative interactions generated by the heavy boson integrations in Sect
The potential terms simultaneously generated by the heavy scalar integrations and the conditions to impose the custodial symmetry on the derivative interactions are shown in Appendices A and B, respectively
Summary
We explicitly calculate the Higgs derivative interactions given by the integration of heavy scalar bosons and vector bosons. Afterwards, the explicit forms of the derivative interactions are shown with a conventional operator base. It is a straightforward generalization of Ref. We discuss conditions to preserve the custodial symmetry in the derivative interactions based on Ref. A consequence of the sum rule leads to the custodial symmetry and other relations as studied in Refs.
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