Sunyaev-Zeldovich signal processing and temperature-velocity moment method for individual clusters

TL;DR

This paper introduces a new method for analyzing high-resolution Sunyaev-Zeldovich signals from galaxy clusters, incorporating relativistic effects and line-of-sight temperature and velocity variations to improve interpretation of observational data.

Contribution

The paper develops a novel moment-based approach that connects SZ signals with cluster models, accounting for relativistic corrections and enabling detailed analysis of cluster dynamics.

Findings

Line-of-sight temperature variations can bias SZ temperature and velocity estimates.

High frequency channels provide better constraints on cluster models.

Application to Bullet cluster data demonstrates the method's practical utility.

Abstract

Future high resolution, high sensitivity Sunyaev-Zeldovich (SZ) observations of individual clusters will provide an exciting opportunity to answer specific questions about the dynamical state of the intra-cluster medium (ICM). In this paper we develop a new method that clearly shows the connection of the SZ signal with the underlying cluster model. We include relativistic temperature and kinematic corrections in the single-scattering approximation, allowing studies of hot clusters. In our approach, particular moments of the temperature and velocity field along the line-of-sight determine the precise spectral shape and morphology of the SZ signal. We illustrate how to apply our method to different cluster models, highlighting parameter degeneracies and instrumental effects that are important for interpreting future high-resolution SZ data. Our analysis shows that line-of-sight temperature variations can introduce significant biases in the derived SZ temperature and peculiar velocity. We furthermore discuss how the position of the SZ null is affected by the cluster's temperature and velocity structure. Our computations indicate that the SZ signal around the null alone is rather insensitive to different cluster models and that high frequency channels add a large leverage in this respect. We also apply our method to recent high sensitivity SZ data of the Bullet cluster, showing how the results can be linked to line-of-sight variations in the electron temperature. The tools developed here as part of SZpack should be useful for analyzing high-resolution SZ data and computing SZ maps from simulated clusters.