Higgs boson pair production at a photon-photon collision in the two Higgs doublet model

TL;DR

This paper calculates the Higgs boson pair production cross section at a photon collider within the two Higgs doublet model, highlighting how loop corrections can significantly enhance the rate and impact measurements of the Higgs self-coupling.

Contribution

It provides a detailed analysis of loop effects on Higgs pair production cross section in the 2HDM, emphasizing potential enhancements relevant for collider experiments.

Findings

Full cross section can be significantly enhanced by loop corrections.

Loop effects impact the precision measurement of the Higgs self-coupling.

Charged Higgs bosons contribute notably to the process.

Abstract

We calculate the cross section of Higgs boson pair production at a photon collider in the two Higgs doublet model. We focus on the scenario in which the lightest CP even Higgs boson ($h$) has the standard model like couplings to the gauge bosons. We take into account the one-loop correction to the $hhh$ coupling as well as additional one-loop diagrams due to charged Higgs bosons to the $\gamma\gamma\to hh$ helicity amplitudes. It is found that the full cross section can be enhanced by both these effects to a considerable level. We discuss the impact of these corrections on the $hhh$ coupling measurement at the photon collider.