Journal
PHYSICAL REVIEW D
Volume 88, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.88.023515
Keywords
-
Funding
- National Aeronautics and Space Administration through Einstein Postdoctoral Fellowship Award [PF2-130100]
- National Aeronautics Space Administration [NAS8-03060]
- DOE Grant [SC-0008108]
- NASA Grant [NNX12AE86G]
- Swiss National Science Foundation
- NASA [NNX12AE86G, 75090] Funding Source: Federal RePORTER
Ask authors/readers for more resources
We present a derivation of two-point correlations of general tracers in the peak-background split (PBS) framework by way of a rigorous definition of the PBS argument. Our expressions only depend on connected matter correlators and renormalized'' bias parameters with clear physical interpretation, and are independent of any coarse-graining scale. This result should be contrasted with the naive expression derived from a local bias expansion of the tracer number density with respect to the matter density perturbation delta(L) coarse-grained on a scale R-L. In the latter case, the predicted tracer correlation function receives contributions of order at each perturbative order n, whereas, in our formalism, these are absorbed in the PBS bias parameters at all orders. Further, this approach naturally predicts both a scale-dependent bias proportional to k(2) such as found for peaks of the density field, and the scale-dependent bias induced by primordial non-Gaussianity in the initial conditions. The only assumption made about the tracers is that their abundance at a given position depends solely on the matter distribution within a finite region around that position.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available