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We investigate the expected cosmological constraints from a combination ofweak lensing and large-scale galaxy clustering using realistic redshiftdistributions. Introducing a systematic bias in the weak lensing redshiftdistributions (of 0.05 in redshift) produces a $>2\sigma$ bias in the recoveredmatter power spectrum amplitude and dark energy equation of state, forpreliminary Stage III surveys. We demonstrate that these cosmological errorscan be largely removed by marginalising over unknown biases in the assumed weaklensing redshift distributions, if we assume high quality redshift informationfor the galaxy clustering sample. Furthermore the cosmological constrainingpower is mostly retained despite removing much of the information on the weaklensing redshift distribution biases. We show that this comes fromcomplementary degeneracy directions between cosmic shear and the combination ofgalaxy clustering with cross-correlation between shear and galaxy numberdensity. Finally we examine how the self-calibration performs when the assumeddistributions differ from the true distributions by more than a simple uniformbias. We find that the effectiveness of this self-calibration method willdepend on the details of a given experiment and the nature of the uncertaintieson the estimated redshift distributions.

Simultaneous Constraints on Cosmology and Photometric Redshift Bias from Weak Lensing and Galaxy Clustering