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Optical imaging surveys measure both the galaxy density and the gravitationallensing-induced shear fields across the sky. Recently, the Dark Energy Survey(DES) collaboration used a joint fit to two-point correlations between theseobservables to place tight constraints on cosmology (DES Collaboration et al.2017). In this work, we develop the methodology to extend the DES year onejoint probes analysis to include cross-correlations of the optical surveyobservables with gravitational lensing of the cosmic microwave background (CMB)as measured by the South Pole Telescope (SPT) and Planck. Using simulatedanalyses, we show how the resulting set of five two-point functions increasesthe robustness of the cosmological constraints to systematic errors in galaxylensing shear calibration. Additionally, we show that contamination of theSPT+Planck CMB lensing map by the thermal Sunyaev-Zel'dovich effect is apotentially large source of systematic error for two-point function analyses,but show that it can be reduced to acceptable levels in our analysis by maskingclusters of galaxies and imposing angular scale cuts on the two-pointfunctions. The methodology developed here will be applied to the analysis ofdata from the DES, the SPT, and Planck in a companion work.

physical review. d/physical review. d.

Dark Energy Survey Year 1 Results: Methodology and Projections for Joint  Analysis of Galaxy Clustering, Galaxy Lensing, and CMB Lensing Two-point  Functions