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We explore the scale dependence of halo bias using real spacecross-correlation measurements in N-body simulations and in Pinocchio, analgorithm based on Lagrangian Perturbation Theory. Recent work has shown how tointerpret such real space measurements in terms of k-dependent bias in Fourierspace, and how to remove the k-dependence to reconstruct the k-independentpeak-background split halo bias parameters. We compare our reconstruction ofthe linear bias, which requires no free parameters, with previous estimatesfrom N-body simulations which were obtained directly in Fourier space at largescales, and find very good agreement. Our reconstruction of the quadratic biasis similarly parameter-free, although in this case there are no previousFourier space measurements to compare with. Our analysis of N-body simulationsexplicitly tests the predictions of the excursion set peaks (ESP) formalism ofParanjape et al. (2013) for the scale dependence of bias; we find that the ESPpredictions accurately describe our measurements. In addition, our measurementsin Pinocchio serve as a useful, successful consistency check between Pinocchioand N-body simulations that is not accessible to traditional measurements.

Bias deconstructed: Unravelling the scale dependence of halo bias using real space measurements