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Using the first three years of data from the Dark Energy Survey, we useratios of small-scale galaxy-galaxy lensing measurements around the same lenssample to constrain source redshift uncertainties, intrinsic alignments andother nuisance parameters of our model. Instead of using a simple geometricapproach for the ratios, we use the full modeling of the galaxy-galaxy lensingmeasurements, including the corresponding integration over the power spectrumand the contributions from intrinsic alignments and lens magnification. Weperform extensive testing of the small-scale shear ratio (SR) modeling bystudying the impact of different effects such as the inclusion of baryonicphysics, non-linear biasing, halo occupation distribution descriptions and lensmagnification, among others, and using realistic $N$-body simulations. Wevalidate the robustness of our constraints in the data by using two independentlens samples, and by deriving constraints using the corresponding large-scaleratios for which the modeling is simpler. The DES Y3 results demonstrate howthe ratios provide significant improvements in constraining power for severalnuisance parameters in our model, especially on source redshift calibration andintrinsic alignments (IA). For source redshifts, SR improves the constraintsfrom the prior by up to 38\% in some redshift bins. Such improvements, andespecially the constraints it provides on IA, translate to tighter cosmologicalconstraints when SR is combined with cosmic shear and other 2pt functions. Inparticular, for the DES Y3 data, SR improves $S_8$ constraints from cosmicshear by up to 31\%, and for the full combination of probes (3$\times$2pt) byup to 10\%. The shear ratios presented in this work are used as an additionallikelihood for cosmic shear, 2$\times$2pt and the full 3$\times$2pt in thefiducial DES Y3 cosmological analysis.

Dark Energy Survey Year 3 Results: Exploiting small-scale information with lensing shear ratios