Removal of interloper contamination to line-intensity maps using correlations with ancillary tracers of the large-scale structure

Line-intensity mapping offers an approach to obtain three-dimensional maps of the large-scale structure by collecting the aggregate emission from all emitters along the line of sight. The procedure hinges on reconstructing the radial positions of sources by relating the observed frequency to the rest-frame frequency of a target emission line. However, this step is hindered by ``interloper-line'' emission from different cosmological volumes that redshifts into the same observed frequency. In this work, we propose a model-independent technique to remove the contamination of line interlopers using their statistical correlation with external tracers of the large-scale structure, and identify the weights that minimize the variance of the cleaned field. Furthermore, we derive expressions for the resulting power spectra after applying our cleaning procedure and validate them against simulations. We find that the cleaning performance improves as the correlation between the line interlopers and the external tracer increases, resulting in a gain in the signal-to-noise ratio of up to a factor 6 (2) for the auto- (cross-)power spectrum in idealized scenarios. This approach has the advantage of being model-independent and is highly complementary to other techniques, as it removes interloper large-scale clustering modes instead of individually masking the brightest sources of contamination.