Derivative interactions and perturbative UV contributions in N Higgs Doublet Models

TL;DR

This paper analyzes derivative interactions in multi-Higgs doublet models, focusing on their origins from composite Higgs corrections and integrating out heavy particles, and explores their effects on vector boson scattering.

Contribution

It provides explicit calculations of derivative interactions in N Higgs doublet models and examines conditions for custodial symmetry and experimental implications.

Findings

Derived all derivative interactions from heavy scalar/vector integrations.

Identified conditions for custodial symmetry in these models.

Analyzed impact on vector boson scattering processes.

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.