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The James Webb Space Telescope will allow to spectroscopically study anunprecedented number of galaxies deep into the reionization era, notably bydetecting [OIII] and H$\beta$ nebular emission lines. To efficiently preparesuch observations, we photometrically select a large sample of galaxies at$z\sim8$ and study their rest-frame optical emission lines. Combining data fromthe GOODS Re-ionization Era wide-Area Treasury from Spitzer (GREATS) survey andfrom HST, we perform spectral energy distribution (SED) fitting, usingsynthetic SEDs from a large grid of photoionization models. The deepSpitzer/IRAC data combined with our models exploring a large parameter spaceenables to constrain the [OIII]+H$\beta$ fluxes and equivalent widths for oursample, as well as the average physical properties of $z\sim8$ galaxies, suchas the ionizing photon production efficiency with$\log(\xi_\mathrm{ion}/\mathrm{erg}^{-1}\hspace{1mm}\mathrm{Hz})\geq25.77$. Wefind a relatively tight correlation between the [OIII]+H$\beta$ and UVluminosity, which we use to derive for the first time the [OIII]+H$\beta$luminosity function (LF) at $z\sim8$. The $z\sim8$ [OIII]+H$\beta$ LF is higherat all luminosities compared to lower redshift, as opposed to the UV LF, due toan increase of the [OIII]+H$\beta$ luminosity at a given UV luminosity from$z\sim3$ to $z\sim8$. Finally, using the [OIII]+H$\beta$ LF, we makepredictions for JWST/NIRSpec number counts of $z\sim8$ galaxies. We find thatthe current wide-area extragalactic legacy fields are too shallow to use JWSTat maximal efficiency for $z\sim8$ spectroscopy even at 1hr depth and JWSTpre-imaging to $\gtrsim30$ mag will be required.

The GREATS H$\beta$+[OIII] Luminosity Function and Galaxy Properties at $\mathbf{z\sim8}$: Walking the Way of JWST