Self-Consistent JWST Census of Star Formation and AGN activity at z=5.5-13.5

The cosmic star formation history (CSFH) and cosmic active galactic nuclei (AGN) luminosity history (CAGNH) are self consistently measured at $z = 5.5-13.5$. This is achieved by analyzing galaxies detected by the James Webb Space Telescope from $\approx 400 \, \mathrm{arcmin^{2}}$ fields from the PEARLS, CEERS, NGDEEP, JADES and PRIMER surveys. In particular, the combination of spectral energy distribution fitting codes, EAZY and \textsc{ProSpect}, are employed to estimate the photometric redshifts and astrophysical quantities of $3751$ distant galaxies, from which we compute the stellar mass, star formation rate and AGN luminosity distribution functions in four redshift bins. Integrating the distribution functions, we find that the CSFH rises by $\approx 1$~dex over $z = 13.5 - 5.5$ and the CAGNH rises by $\approx 1$~dex over $z = 10.5 - 5.5$. We connect our results of the CSFH and CAGNH at $z=13.5-5.5$ to that from $z= 5-0$ to determine the summary of $\gtrsim 13$ Gyr of star formation and AGN activity, from the very onset of galaxy formation to the present day.