In this work we study a scalar field dark matter model with mass of the order of 100 MeV. We assume dark matter is produced in the process $e^-+e^+to phi +phi^*+gamma$, that, in fact, could be a background for the standard process $e^-+e^+to u +bar u+gamma$ extensively studied at LEP. We constrain the chiral couplings, $C_L$ and $C_R$, of the dark matter with electrons through an intermediate fermion of mass $m_F=100$ GeV and obtain $C_L=0.1(0.25)$ and $C_R=0.25(0.1)$ for the best fit point of our $chi^2$ analysis. We also analyze the potential of ILC to detect this scalar dark matter for two configurations: (i) center of mass energy $sqrt{s}=500$ GeV and luminosity $mathcal{L}=250$ fb$^{-1}$, and (ii) center of mass energy $sqrt{s}=1$ TeV and luminosity $mathcal{L}=500$ fb$^{-1}$. The differences of polarized beams are also explored to better study the chiral couplings.
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