Coevolution of metallicity and star formation in galaxies to z=3.7: I. A fundamental plane
Leslie Hunt, Pratika Dayal, Laura Magrini, Andrea Ferrara

TL;DR
This study identifies a fundamental plane relating metallicity, star formation rate, and stellar mass in galaxies up to redshift 3.7, showing it remains consistent over cosmic time and provides a new framework for understanding galaxy evolution.
Contribution
It introduces a redshift-invariant fundamental plane of metallicity that unifies galaxy properties across a wide range of masses, SFRs, and redshifts.
Findings
The Fundamental Plane of Metallicity (FPZ) is given by 12+log(O/H) = -0.14 log(SFR) + 0.37 log(M*) + 4.82.
The FPZ residuals are small (0.16 dex), indicating a tight relation.
The FPZ remains consistent across redshifts up to z=3.7.
Abstract
With the aim of understanding the coevolution of star formation rate (SFR), stellar mass (M*), and oxygen abundance (O/H) in galaxies up to redshift z=3.7, we have compiled the largest available dataset for studying Metallicity Evolution and Galaxy Assembly (MEGA); it comprises roughly 1000 galaxies with a common O/H calibration and spans almost two orders of magnitude in metallicity, a factor of 10^6 in SFR, and a factor of 10^5 in stellar mass. From a Principal Component Analysis, we find that the 3-dimensional parameter space reduces to a Fundamental Plane of Metallicity (FPZ) given by 12+log(O/H) = -0.14 log (SFR) + 0.37 log (M*) + 4.82. The mean O/H FPZ residuals are small (0.16 dex) and consistent with trends found in smaller galaxy samples with more limited ranges in M*, SFR, and O/H. Importantly, the FPZ is found to be redshift-invariant within the uncertainties. In a companion…
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