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Residual foreground contamination by thermal Sunyaev-Zeldovich (tSZ) effectfrom galaxy clusters in cosmic microwave background (CMB) maps propagates intothe reconstructed CMB lensing field, and thus biases the intrinsiccross-correlation between CMB lensing and large-scale structure (LSS). Throughstacking analysis, we show that residual tSZ contamination causes an incrementof lensing convergence in the central part of the clusters and a decrement oflensing convergence in the cluster outskirts. We quantify the impact ofresidual tSZ contamination on cross-correlations between the Planck 2018 CMBlensing convergence maps and the SDSS-IV galaxy density data throughcross-power spectrum computation. In contrast with the Planck 2018tSZ-deprojected SMICA lensing map, our analysis using the tSZ-contaminatedSMICA lensing map measures a $\sim2.5\%$ negative bias at multipoles$\ell\lesssim 500$ and transits to a $\sim9\%$ positive bias at$\ell\gtrsim1500$, which validates earlier theoretical predictions of theoverall shape of such tSZ-induced spurious cross-correlation. The tSZ-inducedlensing convergence field in Planck CMB data is detected with more than$1\sigma$ significance at $\ell\lesssim 500$ and more than $14\sigma$significance at $\ell\gtrsim1500$, yielding an overall $14.8\sigma$ detection.We also show that masking galaxy clusters in CMB data is not sufficient toeliminate the spurious lensing signal, still detecting a non-negligible biaswith $5.5\sigma$ significance on cross-correlations with galaxy density fields.Our results emphasize how essential it is to deproject the tSZ effect from CMBmaps at the component separation stage and adopt tSZ-free CMB lensing maps forcross-correlations with LSS data.

Impact of thermal SZ effect on cross-correlations between Planck CMB lensing and SDSS galaxy density fields