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We estimate the amplitude of the source-lens clustering bias and of theintrinsic-alignment bias of weak lensing estimators of the two-point andthree-point convergence and cosmic-shear correlation functions. We use a lineargalaxy bias model for the galaxy-density correlations, as well as a linearintrinsic-alignment model. For the three-point and four-point densitycorrelations, we use analytical or semi-analytical models, based on ahierarchical ansatz or a combination of one-loop perturbation theory with ahalo model. For two-point statistics, we find that the source-lens clusteringbias is typically several orders of magnitude below the weak lensing signal,except when we correlate a very low-redshift galaxy ($z_2 \la 0.05$) with ahigher redshift galaxy ($z_1 \ga 0.5$), where it can reach $10\%$ of the signalfor the shear. For three-point statistics, the source-lens clustering bias istypically of order $10\%$ of the signal, as soon as the three galaxy sourceredshifts are not identical. The intrinsic-alignment bias is typically about$10\%$ of the signal for both two-point and three-point statistics. Thus, bothsource-lens clustering bias and intrinsic-alignment bias must be taken intoaccount for three-point estimators aiming at a better than $10\%$ accuracy.

Source-lens clustering and intrinsic-alignment bias of weak-lensing estimators