The new $Z'$ boson of the Bestest Little Higgs Model as a portal to signatures of Higgs bosons $h_0$ and $H_0$ at the future muon collider

TL;DR

This paper explores how a new $Z'$ boson could facilitate the production and study of Higgs bosons $h_0$ and $H_0$ at future muon colliders, offering insights into the Bestest Little Higgs Model.

Contribution

It introduces the use of the $Z'$ boson as a portal for Higgs production in the Bestest Little Higgs Model and provides Feynman rules for these processes.

Findings

Potential for precision Higgs measurements at future muon colliders.

Analysis of resonance and non-resonance effects in Higgs production.

Feasibility of probing new physics signatures with high-energy muon colliders.

Abstract

We study the new $Z'$ boson as a portal for the production of Higgs bosons $h_0$ and $H_0$ predicted by the Bestest Little Higgs Model through the Higgs-strahlung processes $\mu^+\mu^- \to (Z, Z') \to Zh_0, ZH_0$. We focus on the resonance and non-resonance effects of the $Zh_0, ZH_0$ signals. In our analysis, we consider the center-of-mass energies of $\sqrt{s}=3, 4, 6, 10, 30$ TeV and integrated luminosities of ${\cal L}=2, 4, 6, 10, 30$ ${\rm ab^{-1}}$ projected for a future muon collider. The possibility of performing precision measurements for the Higgs bosons $h_0$ and $H_0$ is very promising at the future muon collider. Furthermore, our results may be helpful to the High Energy Physics community. Complementarily, we generate and provide the Feynman rules necessary for studying the processes $\mu^+\mu^- \to (Z, Z') \to Zh_0, ZH_0$.