Higgs-strahlung production of the lightest CP-even Higgs boson at ILC in natural NMSSM

Considering various experimental constraints, we scan over the parameter space of the NMSSM by requiring the fine tuning measures ΔZ and Δh are less than 50. Then in the allowed parameter space we investigate the Higgs-strahlung production of the lightest CP-even Higgs boson h1 at ILC assuming the next-to-lightest CP-even Higgs boson acts as SM-like. we calculate the cross section of the process e+e−→Zh1 at ILC with center-of-mass energy of 250  GeV, and also discuss the decay patterns of h1. We find that the cross section of the process e+e−→Zh1 can reach about 84 fb. Moreover, the cross section increases with the mass of h1 and strongly depends on the Higgs doublet-component of h1. For most of the surviving samples, h1 mainly decays to bb¯. However, for certain regions of the surviving samples, the branching ratio of h1 → γγ can maximally reach 2%, which can be used to discriminate the NMSSM from MSSM.