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

Abstract

The left-right twin Higgs(LRTH) model predicts the existence of three additional Higgs bosons: one neutral Higgs ${\varphi }^0$ and a pair of charged Higgs bosons ${\varphi }^{\pm }$. 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., $e^{+}{e}^{-}\to Z{\varphi }^{+}{\varphi }^{-}$ and $e^{+}{e}^{-}\to Z{\varphi }^0{\varphi }^0$. 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 ${\varphi }^{-}$, 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 ${\varphi }^{-}$. Our numerical results show that, for the process $e^{+}{e}^{-}\to Z{\varphi }^{+}{\varphi }^{-}$, the production rates are at the level of $10^{-1}fb$ with reasonable parameter values. For the process of $e^{+}{e}^{-}\to Z{\varphi }^0{\varphi }^0$, 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.

Comments: 20 pages,12 figures and 6 tables, to be published in Nucl. Phys. B