Shedding light on the star formation rate-halo accretion rate connection and halo quenching mechanism via DECODE, the Discrete statistical sEmi-empiriCal mODEl
Hao Fu, Lumen Boco, Francesco Shankar, Andrea Lapi, Mohammadreza, Ayromlou, Daniel Roberts, Yingjie Peng, Aldo Rodr\'iguez-Puebla, Feng Yuan,, Cressida Cleland, Simona Mei, Nicola Menci

TL;DR
This paper introduces DECODE, a semi-empirical model that links galaxy star formation rates to halo accretion rates, providing insights into galaxy quenching mechanisms and the star formation rate-halo accretion rate connection.
Contribution
DECODE offers a minimal-input, cosmological semi-empirical framework to predict galaxy stellar mass assembly and test halo quenching scenarios against observations.
Findings
Monotonic SFR-HAR relation reproduces local star-forming galaxy densities.
Halo quenching explains quenched galaxy statistics and SMHM relation shapes.
Additional quenching in low-mass haloes is necessary to match low-mass galaxy observations.
Abstract
Aims: The relative roles of the physical mechanisms involved in quenching galaxy star formation are still unclear. We tackle this fundamental problem with our cosmological semi-empirical model DECODE (Discrete statistical sEmi-empiriCal mODEl), designed to predict galaxy stellar mass assembly histories, from minimal input assumptions. Methods: Specifically, in this work the star formation history of each galaxy is calculated along its progenitor dark matter halo by assigning at each redshift a star formation rate extracted from a monotonic star formation rate-halo accretion rate (SFR-HAR) relation derived from abundance matching between the (observed) SFR function and the (numerically predicted) HAR function, a relation that is also predicted by the TNG100 simulation. SFRs are integrated across cosmic time to build up the mass of galaxies, which may halt their star formation following…
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