Papers › Cross-correlation of the thermal Sunyaev--Zel'dovich and CMB lensing signals in Planck...
Cross-correlation of the thermal Sunyaev--Zel'dovich and CMB lensing signals in Planck PR4 data with robust CIB decontamination
Fiona McCarthy, J. Colin Hill
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We use the full-mission Planck PR4 data to measure the CMB lensing convergence (κ)--thermal Sunyaev-Zel'dovich (tSZ, y) cross-correlation, C_ℓ^(yκ). This is only the second measurement to date of this signal, following Hill & Spergel (2014). We perform the measurement using foreground-cleaned tSZ maps built from the PR4 frequency maps via a tailored needlet internal linear combination (NILC) code in our companion paper, in combination with the Planck PR4 κ maps and various systematic-mitigated PR3 κ maps. A serious systematic is the residual cosmic infrared background (CIB) in the tSZ map, as the high CIB--κ correlation can significantly bias the inferred tSZ--κ cross-correlation. We mitigate this by deprojecting the CIB in our NILC, using a moment-deprojection approach to avoid leakage due to incorrect modelling of the CIB frequency dependence. We validate our method on mm-sky simulations. We fit a theoretical halo model to our measurement, finding a best-fit amplitude of A=0.82±0.21 (for the highest signal-to-noise PR4 κ map) or A=0.56±0.24 (for a PR3 κ map built from a tSZ-deprojected CMB map), indicating that the data are consistent with our model within ∼1-2σ. Although our error bars are similar to those of the 2014 measurement, our method is significantly more robust to CIB contamination. Our moment-deprojection approach lays the foundation for future measurements of this signal with higher signal-to-noise maps from ground-based telescopes, which will precisely probe the astrophysics of the intracluster medium of galaxy groups and clusters in the intermediate-mass (M∼10¹³ -10¹⁴ h⁻¹ M_⊙), high-z (z<∼1.5, c.f. z<∼0.8 for the tSZ auto-power signal) regime, as well as CIB-decontaminated measurements of tSZ cross-correlations with other large-scale structure probes.
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