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Extracting the CMB blackbody temperature power spectrum -- which is dominatedby the primary CMB signal and the kinematic Sunyaev-Zel'dovich (kSZ) effect --from mm-wave sky maps requires cleaning other sky components. In this work, wedevelop new methods to use large-scale structure (LSS) tracers to remove cosmicinfrared background (CIB) and thermal Sunyaev-Zel'dovich (tSZ) contamination insuch measurements. Our methods rely on the fact that LSS tracers are correlatedwith the CIB and tSZ signals, but their two-point correlations with the CMB andkSZ signals vanish on small scales, thus leaving the CMB blackbody powerspectrum unbiased after cleaning. We develop methods analogous to delensing($\textit{de-CIB}$ or $\textit{de-(CIB+tSZ)}$) to clean CIB and tSZcontaminants using these tracers. We compare these methods to internal linearcombination (ILC) methods, including novel approaches that incorporate thetracer maps in the ILC procedure itself, without requiring exact assumptionsabout the CIB SED. As a concrete example, we use the $\textit{unWISE}$ galaxysamples as tracers. We provide calculations for a combined Simons Observatoryand $\textit{Planck}$-like experiment, with our simulated sky model comprisingeight frequencies from 93 to 353 GHz. Using $\textit{unWISE}$ tracers,improvements with our methods over current approaches are alreadynon-negligible: we find improvements up to 20% in the kSZ power spectrumsignal-to-noise ratio (SNR) when applying the de-CIB method to atSZ-deprojected ILC map. These gains could be more significant when usingadditional LSS tracers from current surveys, and will become even larger withfuture LSS surveys, with improvements in the kSZ power spectrum SNR up to 50%.For the total CMB blackbody power spectrum, these improvements stand at 4% and7%, respectively. Our code is publicly available athttps://github.com/olakusiak/deCIBing.

Enhancing Measurements of the CMB Blackbody Temperature Power Spectrum  by Removing CIB and Thermal Sunyaev-Zel'dovich Contamination Using External  Galaxy Catalogs