Photometric redshifts: estimating their contamination and distribution using clustering information

We present a new technique to estimate the level of contamination between photometric redshift bins. If the true angular cross-correlationbetween redshift binscan be safely assumed to be zero, any measured cross-correlationis a result of contamination between the bins. We present the theory for an arbitrary number of redshift bins, and discuss in detail the case of two and three binswhich can be easily solved analytically. We use mock catalogues constructed from the Millennium Simulation to test the method, showing that artificial contamination can be successfully recovered with our method. We find that degeneracies in the parameter space prohibit us from determining a unique solution for the contamination, though constraints are made which can be improved with larger data sets. We then apply the method to an observational galaxy survey: the deep component of the Canada-France-Hawaii Telescope Legacy Survey. We estimate the level of contamination between photometric redshift binsand demonstrate our ability to reconstruct both the true redshiftdistribution and the true average redshiftof galaxies in each photometric bin.