Can we neglect relativistic temperature corrections in the Planck thermal SZ analysis?

Abstract

Measurements of the thermal Sunyaev-Zel'dovich (tSZ) effect have long been recognized as a powerful cosmological probe. Here we assess the importance of relativistic temperature corrections to the tSZ signal on the power spectrum analysis of the Planck Compton-$y$ map, developing a novel formalism to account for the associated effects. The amplitude of the tSZ power spectrum is found to be sensitive to the effective electron temperature, ${\bar{T}}_e$, of the cluster sample. Omitting the corresponding modifications leads to an underestimation of the $yy$-power spectrum amplitude. Relativistic corrections thus add to the error budget of tSZ power spectrum observables such as ${\sigma }_8$. This could help alleviate the tension between various cosmological probes, with the correction scaling as $\Delta {\sigma }_8/{\sigma }_8\simeq 0.019[k{\bar{T}}_e/5\mathrm{keV}]$ for Planck. At the current level of precision, this implies a systematic shift by $\simeq 1\sigma$, which can also be interpreted as an overestimation of the hydrostatic mass bias by $\Delta b\simeq 0.046(1-b)[k{\bar{T}}_e/5\mathrm{keV}]$, bringing it into better agreement with hydrodynamical simulations. It is thus time to consider relativistic temperature corrections in the processing of current and future tSZ data.

6 pages, 4 figures, minor changes, updated to match version accepted by MNRAS

References in corpus (13)

• The Simons Observatory: Science goals and forecasts
• Testing X-ray Measurements of Galaxy Clusters with Cosmological Simulations
• CMB-S4 Science Book, First Edition
• Radial temperature profiles for a large sample of galaxy clusters observed with XMM-Newton
• Dark Energy from the Thermal Sunyaev Zeldovich Power Spectrum
• The impact of baryons on massive galaxy clusters: halo structure and cluster mass estimates
• Planck's view on the spectrum of the Sunyaev-Zeldovich effect
• Bispectrum of the Sunyaev-Zel'dovich Effect
• Joint analysis of the thermal Sunyaev-Zeldovich effect and 2MASS galaxies: Probing gas physics in the local Universe and beyond
• The Sunyaev-Zel'dovich temperature of the intracluster medium
• High significance detection of the tSZ effect relativistic corrections
• Cosmological constraints from the thermal Sunyaev Zeldovich power spectrum?
• A Measurement of Gas Temperatures in Galaxy Clusters using the Relativistic Sunyaev-Zeldovich Effect

Cited by in corpus (31)

• Astrophysics with the Spatially and Spectrally Resolved Sunyaev-Zeldovich Effects: A Millimetre/Submillimetre Probe of the Warm and Hot Universe
• An Improved Measurement of the Secondary Cosmic Microwave Background Anisotropies from the SPT-SZ + SPTpol Surveys
• The synergy between CMB spectral distortions and anisotropies
• A hydrodynamical halo model for weak-lensing cross correlations
• Microwave Spectro-Polarimetry of Matter and Radiation across Space and Time
• Properties of the ionized CGM and IGM: a comparison of galaxy formation models via the Sunyaev-Zel'dovich effect
• Relativistic SZ temperature scaling relations of groups and clusters derived from the BAHAMAS and MACSIS simulations
• Mapping the relativistic electron gas temperature across the sky
• Including massive neutrinos in thermal Sunyaev Zeldovich power spectrum and cluster counts analyses
• Dust moments: towards a new modelling of the galactic dust emission for CMB B-modes analysis
• A multi-simulation study of relativistic SZ temperature scalings in galaxy clusters and groups
• An improved Compton parameter map of thermal Sunyaev-Zeldovich effect from Planck PR4 data
• Removing the giants and learning from the crowd: a new SZ power spectrum method and revised Compton $y$-map analysis
• Sensitivity forecasts for the cosmological recombination radiation in the presence of foregrounds
• Unlocking the synergy between CMB spectral distortions and anisotropies
• Velocity dispersion and dynamical masses for 388 Galaxy Clusters and groups. Calibrating the $M_{\mathrm{SZ}}$--$M_{\mathrm{dyn}}$ scaling relation for the PSZ2 sample
• Impact of ICM disturbances on the mean pressure profile of galaxy clusters: a prospective study of the NIKA2 SZ large program with MUSIC synthetic clusters
• Understanding matched filters for precision cosmology
• Sunyaev--Zel'dovich profile fitting with joint AMI-Planck analysis
• Leverage on small-scale primordial non-Gaussianity through cross-correlations between CMB $E$-mode and $\mu$-distortion anisotropies
• The integrated angular bispectrum
• Importance of intracluster scattering and relativistic corrections from tSZ effect with Cosmic Infrared Background
• Bayesian recalibration of Planck galaxy cluster scaling relations including relativistic Sunyaev-Zel'dovich corrections
• The establishment of the Standard Cosmological Model through observations
• Effects of boosting on extragalactic components: methods and statistical studies
• Breaking degeneracies with the Sunyaev-Zeldovich full bispectrum
• Thermal Sunyaev-Zeldovich measurements and cosmic infrared background leakage mitigation combining upcoming ground-based telescopes
• The non-thermal secondary CMB anisotropies from a cosmic distribution of radio galaxy lobes
• Relativistic SZ maps and electron gas temperature spectroscopy
• Temperature measurements with the relativistic Sunyaev-Zel'dovich effect
• "SZ spectroscopy" in the coming decade: Galaxy cluster cosmology and astrophysics in the submillimeter