QCD corrections to the $γγb\bar b$ production at the ILC

The $e^+e^- \to γγb\bar b$ is an irreducible background process in measuring the $H^0 \to γγ$ decay width, if Higgs boson is produced in association with a $Z^0$-boson which subsequently decays via $Z^0 \to b\bar b$ at the ILC. In this paper we study the impact of the ${\cal O}(α_s)$ QCD corrections to the observables of the $e^+e^- \to γγb\bar b$ process in the standard model. We investigate the dependence of the leading-order and ${\cal O}(α_s)$ QCD corrected cross sections on colliding energy and the additional jet veto schemes. We also present the results of the LO and ${\cal O}(α_s)$ QCD corrected distributions of the transverse momenta of final particles, and the invariant masses of $b\bar b$- and $γγ$-pair.

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