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Paper

The Luminosity Function and Clustering of H$α$ Emitting Galaxies at $z\approx4-6$ from a Complete NIRCam Grism Redshift Survey

Abstract

We study the luminosity function (LF) and clustering properties of 888 H emitters (HAEs) at in the GOODS-N field. The sample, built from JWST CONGRESS and FRESCO NIRCam grism surveys using a novel redshift assignment algorithm, spans 62 arcmin and reaches . We identify two prominent filamentary protoclusters at and , hosting 98 and 144 HAEs, respectively. The observed H LFs show similar shallow faint-end slopes for both protocluster and field galaxies at , and for the protocluster at ( to ). In contrast, the field LF at is much steeper (), suggesting that protocluster galaxies at are more evolved, resembling those at . The observed star formation rate density from H, integrated down to 0.45 , is and at and , with protoclusters contributing 25% and 55%, respectively. This implies that a large fraction of star formation at occurs in protoclusters. We conduct the first star-formation-rate-limited 3D clustering analysis at . We find the filamentary protocluster geometry flattens the power-law shape of the HAE auto-correlation functions, with slopes much shallower than typically assumed. The auto-correlation function of field HAEs have correlation lengths of at and at . Comparing the observed correlation functions with the UniverseMachine simulation, we infer the dark matter (sub-)halo masses of HAEs to be at , with a scatter of 0.4 dex.