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Extracting information from cosmic surveys is often done in a two-stepprocess, construction of maps and then summary statistics such as two-pointfunctions. We use simulations to demonstrate the advantages of a generalBayesian framework that consistently combines different cosmologicalexperiments on the field level, and reconstructs both the maps and cosmologicalparameters. We apply our method to jointly reconstruct the primordial CMB, theintegrated Sachs-Wolfe effect, and six tomographic galaxy density maps on thefull sky on large scales along with several cosmological parameters. While thetraditional maximum a posterior estimator has both two-point level andfield-level bias, the new approach yields unbiased cosmological constraints andimproves the signal-to-noise ratio of the maps.

Field-level multiprobe analysis of the CMB, integrated Sachs-Wolfe effect, and the galaxy density maps