Classifying extended Higgs models through the trilinear Higgs boson coupling measurement at future colliders

TL;DR

This paper explores how future collider measurements of the Higgs boson trilinear coupling can distinguish between various extended Higgs models, considering theoretical forms, experimental constraints, and higher-order corrections.

Contribution

It provides a comprehensive analysis of extended Higgs models' trilinear couplings, including higher-order effects, and assesses their testability at future colliders.

Findings

Certain extended Higgs models predict distinctive trilinear coupling deviations.

Higher-order corrections significantly impact the predicted coupling values.

Future colliders can effectively probe the functional forms of Higgs potentials.

Abstract

We investigate the trilinear Higgs boson coupling derived from the functional forms of various extended Higgs potentials. In light of experimental constraints on Higgs boson couplings, we focus on extended Higgs models in which the trilinear Higgs boson coupling is predominantly determined by the Standard Model (SM) Higgs field. Such models include the nearly aligned Higgs effective field theory, classically scale-invariant models, pseudo-Nambu-Goldstone boson scenarios, tadpole-induced models, and others. We also consider higher-order corrections, including top quark and new particle contributions that are often neglected, and discuss their impact on the trilinear Higgs boson coupling. Finally, we show to what extent the functional forms of the Higgs potentials can be probed at future colliders.