The neutral heavy scalar productions associated with $Z_L$ in the littlest Higgs model at ILC and CLIC

TL;DR

This paper investigates the production of heavy neutral scalars and pseudoscalars associated with the Z boson in the littlest Higgs model at future electron-positron colliders, analyzing cross sections, parameter dependence, and potential signals.

Contribution

It provides detailed calculations of production cross sections and explores the detectability of heavy scalars and pseudoscalars at ILC and CLIC within the littlest Higgs model.

Findings

Heavy scalars and pseudoscalars can be produced at future colliders.

Production rates depend on model parameters and can lead to observable signals.

Lepton flavor violating decays may be detectable in certain parameter regions.

Abstract

In this work, the production processes of heavy neutral scalar and pseudo scalar associated with standard model gauge boson $Z_L$ at future $e^{+}e^{-}$ colliders (ILC and CLIC) are examined. The total and differential cross sections are calculated for the processes in the context of the littlest Higgs model. Also dependence of production processes to littlest Higgs model parameters in the range of compatibility with electroweak precision measurements and decays to lepton flavor violating final states are analyzed. We have found that both heavy scalar and pseudoscalar will be produced in $e^+e^-$ colliders. Also the depending on the model parameters, the neutral heavy scalar can be reconstructed or lepton flavor violating signals can be observed.