The effects of the little Higgs models on $t\bar{t} h^0$ production via $\gamma \gamma$ collision at linear colliders

TL;DR

This paper investigates how little Higgs models, specifically the LH and LHT frameworks, influence the production of top-antitop Higgs in photon-photon collisions at future linear colliders, highlighting potential observability and constraints.

Contribution

It provides a detailed analysis of the effects of LH and LHT models on $tar{t}h^0$ production rates at linear colliders, including parameter space regions for potential discovery.

Findings

LH and LHT effects can significantly alter production cross sections.

Certain parameter regions allow for observable effects at future colliders.

The study constrains model parameters based on production rate deviations.

Abstract

In the frameworks of the littlest Higgs($LH$) model and its extension with T-parity($LHT$), we studied the associated $t\bar th^0$ production process $e^+ e^- \to \gamma\gamma \to t \bar t h^0$ at the future $e^+e^-$ linear colliders up to QCD next-to-leading order. We present the regions of $\sqrt{s}-f$ parameter space in which the $LH$ and $LHT$ effects can and cannot be discovered with the criteria assumed in this paper. The production rates of process $\gamma\gamma \to t \bar t h^0$ in different photon polarization collision modes are also discussed. We conclude that one could observe the effects contributed by the $LH$ or $LHT$ model on the cross section for the process $e^+ e^- \to \gamma\gamma \to t \bar t h^0$ in a reasonable parameter space, or might put more stringent constraints on the $LH$/$LHT$ parameters in the future experiments at linear colliders.