Higgs boson pair production at the Photon Linear Collider in the two Higgs doublet model

TL;DR

This paper calculates the Higgs boson pair production cross section at a Photon Linear Collider within the two Higgs doublet model, emphasizing one-loop corrections and their effect on coupling measurements.

Contribution

It provides a detailed calculation of the cross section including one-loop corrections in the two Higgs doublet model, highlighting their impact on Higgs coupling measurements.

Findings

One-loop corrections significantly affect the $hhh$ coupling measurement.

Charged boson loops contribute notably to the $ heta$-dependent amplitudes.

The results inform precision Higgs coupling studies at future colliders.

Abstract

We calculate the cross section of the lightest Higgs boson pair production at the Photon Linear Collider in the two Higgs doublet model. We focus on the scenario in which the lightest Higgs boson has the standard model like couplings to gauge bosons. We take into account the one-loop correction to the $hhh$ coupling as well as additional one-loop diagrams due to charged bosons to the $\gamma\gamma \to hh$ helicity amplitudes. We discuss the impact of these corrections on the $hhh$ coupling measurement at the Photon Linear Collider.