Complete one-loop electroweak corrections to $ZZZ$ production at the ILC

Abstract

We study the complete $\mathcal{O}({\alpha }_{ew})$ electroweak (EW) corrections to the production of three $Z^0$-bosons in the the framework of the standard model(SM) at the ILC. The leading order and the EW next-to-leading order corrected cross sections are presented, and their dependence on the colliding energy $\sqrt{s}$ and Higgs-boson mass $m_H$ is analyzed. We investigate also the LO and one-loop EW corrected distributions of the transverse momentum of final $Z^0$ boson, and the invariant mass of $Z^0{Z}^0$-pair. Our numerical results show that the EW one-loop correction generally suppresses the tree-level cross section, and the relative correction with $m_H=120GeV(150GeV)$ varies between $-15.8$ and $-7.5$ when $\sqrt{s}$ goes up from $350GeV$ to $1TeV$.

Comments: 18 pages,8 figures, to appear in Physical Review D