Fast Baryonic Field Painting for Sunyaev-Zel'dovich Analyses: Transfer Function vs. Hybrid Effective Field Theory

Understand

We present two approaches for "painting" baryonic properties relevant to the Sunyaev-Zel'dovich (SZ) effect - optical depth and Compton-$y$ - onto 3-dimensional $N$-body simulations, using the MillenniumTNG suite as a benchmark.

• The goal of these methods is to produce fast and accurate reconstruction methods to aid future analyses of baryonic feedback using the SZ effect.
• The first approach employs a Gaussian Process emulator to model the SZ quantities via a transfer function, while the second utilizes Hybrid Effective Field Theory (HEFT) to reproduce these quantities within the simulation.
• Our analysis involves comparing both methods to the true MillenniumTNG optical depth and Compton-$y$ fields using several metrics, including the cross-correlation coefficient, power spectrum, and power spectrum error.