Higgs boson pair production in new physics models at hadron, lepton, and photon colliders

TL;DR

This paper investigates Higgs boson pair production at future colliders within various new physics models, highlighting how these models can significantly alter production cross sections through loop effects, aiding in probing the Higgs potential.

Contribution

It provides a comparative analysis of Higgs pair production processes across multiple new physics models, emphasizing loop corrections and non-decoupling effects on cross sections at future colliders.

Findings

Cross sections can deviate significantly from the Standard Model due to loop corrections.

Non-decoupling effects can enhance certain production processes in specific models.

Sequential fourth generation fermions lead to very large $gg o hh$ cross sections.

Abstract

We study Higgs boson pair production processes at future hadron and lepton colliders including the photon collision option in several new physics models; i.e., the two-Higgs-doublet model, the scalar leptoquark model, the sequential fourth generation fermion model and the vector-like quark model. Cross sections for these processes can deviate significantly from the standard model predictions due to the one-loop correction to the triple Higgs boson coupling constant. For the one-loop induced processes such as $gg \to hh$ and $\gamma\gamma\to hh$, where $h$ is the (lightest) Higgs boson and $g$ and $\gamma$ respectively represent a gluon and a photon, the cross sections can also be affected by new physics particles via additional one-loop diagrams. In the two-Higgs-doublet model and scalar leptoquark models, cross sections of $e^+e^-\to hhZ$ and $\gamma\gamma\to hh$ can be enhanced due to the non-decoupling effect in the one-loop corrections to the triple Higgs boson coupling constant. In the sequential fourth generation fermion model, the cross section for $gg\to hh$ becomes very large because of the loop effect of the fermions. In the vector-like quark model, effects are small because the theory has decoupling property. Measurements of the Higgs boson pair production processes can be useful to explore new physics through the determination of the Higgs potential.