Pair production of Higgs bosons associated with $Z$ boson in the left-right twin Higgs model at the ILC

TL;DR

This paper investigates the production of Higgs boson pairs associated with a Z boson at the ILC within the left-right twin Higgs model, analyzing cross sections and distributions to explore potential signals of new Higgs states.

Contribution

It provides detailed calculations of production rates and observable distributions for Higgs pair production in the LRTH model at the ILC, highlighting potential resonance enhancements.

Findings

Production rates for $Z\phi^{+}\phi^{-}$ are around 0.1 fb.

Cross sections for $Z\phi^{0}\phi^{0}$ are below 6×10^{-3} fb.

Resonance effects can significantly increase production cross sections.

Abstract

The left-right twin Higgs(LRTH) model predicts the existence of three additional Higgs bosons: one neutral Higgs $\phi^{0}$ and a pair of charged Higgs bosons $\phi^{\pm}$. In this paper, we studied the production of a pair of charged and neutral Higgs bosons associated with standard model gauge boson $Z$ at the ILC, i.e., $e^{+}e^{-}\rightarrow Z\phi^{+}\phi^{-}$ and $e^{+}e^{-}\rightarrow Z\phi^{0}\phi^{0}$. We calculate the production rate and present the distributions of the various observables, such as, the distributions of the energy and the transverse momenta of final $Z$-boson and charged Higgs boson $\phi^{-}$, the differential cross section of the invariant mass of charged Higgs bosons pair, the distribution of the angle between charged Higgs bosons pair and the production angle distributions of $Z$-boson and charged Higgs boson $\phi^{-}$. Our numerical results show that, for the process $e^{+}e^{-}\rightarrow Z\phi^{+}\phi^{-}$, the production rates are at the level of $10^{-1} fb$ with reasonable parameter values. For the process of $e^{+}e^{-}\rightarrow Z\phi^{0}\phi^{0}$, we find that the production cross section are smaller than $6\times 10^{-3} fb$ in most of parameter space. However, the resonance production cross section can be significantly enhanced.