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HI intensity mapping data traces the large-scale structure matterdistribution using the integrated emission of neutral hydrogen gas (HI). Thecross-correlation of the intensity maps with optical galaxy surveys canmitigate foreground and systematic effects, but has been shown to significantlydepend on galaxy evolution parameters of the HI and the optical sample.Previously, we have shown that the shot noise of the cross-correlation scaleswith the HI content of the optical samples, such that the shot noise estimationinfers the average HI masses of these samples. In this article, we present anadaptive framework for the cross-correlation of HI intensity maps with galaxysamples using our implementation of the halo model formalism (Murray et al2018, in prep) which utilises the halo occupation distribution of galaxies topredict their power spectra. We compare two HI population models, tracing thespatial halo and the galaxy distribution respectively, and present their auto-and cross-power spectra with an associated galaxy sample. We find that thechoice of the HI model and the distribution of the HI within the galaxy samplehave minor significance for the shape of the auto- and cross-correlations, buthighly impact the measured shot noise amplitude of the estimators, a finding weconfirm with simulations. We demonstrate parameter estimation of the HI halooccupation models and advocate this framework for the interpretation of futureexperimental data, with the prospect of determining the HI masses of opticalgalaxy samples via the cross-correlation shot noise.

Intensity mapping cross-correlations II: HI halo models including shot noise