Double Higgs production in the littlest Higgs Model with T-parity at high energy $e^{+}e^{-}$ Colliders

TL;DR

This paper studies how the littlest Higgs model with T-parity affects double Higgs production at future high-energy electron-positron colliders, showing significant potential deviations from the Standard Model that could be experimentally observed.

Contribution

It provides the first detailed calculation of double Higgs production cross sections in the LHT model at high-energy colliders, highlighting detectable deviations.

Findings

Relative corrections can reach -30% at 500 GeV for ZHH process.

Relative corrections can reach -16% for νν̄HH process.

Decay mode analyses suggest feasible detection at future colliders.

Abstract

In the framework of the littlest Higgs model with T-parity(LHT), we investigate the double Higgs production processes $e^{+}e^{-}\rightarrow ZHH$ and $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH$ at high energy $e^{+}e^{-}$ colliders. We calculate the production cross sections and find that the relative correction at the center-of-mass energy $\sqrt{s}=500$ GeV can maximally reach $-30%$ for the process $e^{+}e^{-}\rightarrow ZHH$ and $-16%$ for the process $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH$ in the allowed parameter space, respectively. These large relative corrections can reach the detection range of the future $e^{+}e^{-}$ colliders so that they can be used to test the LHT effect. The two relevant decay modes $e^{+}e^{-}\rightarrow ZHH \rightarrow l\bar{l} b\bar{b}b\bar{b}$ and $e^{+}e^{-}\rightarrow \nu\bar{\nu}HH\rightarrow \nu\bar{\nu}b\bar{b}b\bar{b}$ are studied and some distributions of the signal and background are displayed.