JADES: Insights on the low-mass end of the mass--metallicity--star-formation rate relation at $3 < z < 10$ from deep JWST/NIRSpec spectroscopy

We analyse the gas-phase metallicity properties of a sample of 66 low stellar mass (log M*/M_sun < 8.5) galaxies at 3<z<10, observed with JWST/NIRSpec as part of the JADES programme in its deep GOODS-S tier. By combining this sample with more massive galaxies at similar redshifts from other programmes, we study the scaling relations between stellar mass (M*), oxygen abundance (O/H), and star-formation rate (SFR) across three orders of magnitude in mass out to the epoch of early galaxy assembly. We find evidence for a shallower slope at the low-mass-end of the mass-metallicity relation (MZR), with 12 + log(O/H) = (7.88 +- 0.03) + (0.17 +- 0.04) log(M*/10^8 M_sun), in good agreement with the MZR probed by local analogues of high-redshift systems like `green pea' and `blueberry' galaxies. The inferred slope is well matched by models including `momentum-driven' SNe winds, suggesting that feedback mechanisms in dwarf galaxies (and at high-z) might be different from those in place at higher masses. The evolution in the normalisation is instead observed to be relatively mild compared to previous determinations of the MZR at z~3 (~0.1-0.2 dex on average). We also find a progressive deviation from the local fundamental metallicity relation (FMR) as a function of redshift, especially at z>6, with galaxies significantly less enriched (by ~0.4 dex on average) than predicted given their M* and SFR. These observations are consistent with an enhanced stochasticity in the accretion rate from the cosmic web, and/or with an increased efficiency in metal removals by outflows, prompting us to reconsider the nature of the relationship between M*, O/H, and SFR in the early Universe.