Lensing corrections on galaxy-lensing cross correlations and galaxy-galaxy auto correlations

摘要: We study the impact of lensing corrections on modeling cross correlations between CMB and galaxies, cosmic shear galaxies in different redshift bins. Estimating importance these becomes necessary light anticipated high-accuracy measurements observables. While higher order (sometimes also referred to as post Born corrections) have been shown be negligibly small for auto correlations, they not studied correlations. evaluate contributing four-point functions without making use Limber approximation compute line-of-sight integrals with numerically stable fast FFTlog formalism. find that relative size depends respective distributions sources but are generally high signal-to-noise point out a full assessment judgement requires inclusion Jacobian terms galaxy side. identify additional correction terms, do them due their large number. argue could potentially important suggest should measured future ray-traced simulations. make our code publicly available.