Probing theCPnature of Higgs boson throughe−e+→e−e+ϕ

Abstract

We study the production of Higgs boson ($\ensuremath{\phi}$) via the ${e}^{\ensuremath{-}}{e}^{+}\ensuremath{\rightarrow}{e}^{\ensuremath{-}}{e}^{+}\ensuremath{\phi}$ process at a future International Linear Collider (ILC) with $\sqrt{S}=1\text{ }\text{ }\mathrm{TeV}$. At this energy the $ZZ$-fusion rate, as predicted by the standard model, dominates over the associated $ZH$ production rate. Here, we consider a class of theory models based on the effective $\ensuremath{\phi}VV$ (with $V=Z$, $\ensuremath{\gamma}$) couplings generated by dimension-6 operators. We also show how to use the kinematical distributions of the final state leptons to discriminate the $CP$-even and $CP$-odd Higgs bosons produced at the ILC, when the $\ensuremath{\phi}\ensuremath{\gamma}\ensuremath{\gamma}$ coupling dominates the Higgs boson production rate.