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Halo clustering with nonlocal non-Gaussianity

Schmidt, Fabian and Kamionkowski, Marc (2010) Halo clustering with nonlocal non-Gaussianity. Physical Review D, 82 (10). Art. No. 103002. ISSN 1550-7998 . http://resolver.caltech.edu/CaltechAUTHORS:20101207-091750993

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Abstract

We show how the peak-background split (PBS) can be generalized to predict the effect of nonlocal primordial non-Gaussianity on the clustering of halos. Our approach is applicable to arbitrary primordial bispectra. We show that the scale dependence of halo clustering predicted in the peak-background split agrees with that of the local-biasing model on large scales. On smaller scales, k ≳ 0:01h Mpc^(-1), the predictions diverge, a consequence of the assumption of separation of scales in the peak-background split. Even on large scales, PBS and local biasing do not generally agree on the amplitude of the effect outside of the high-peak limit. The scale dependence of the biasing—the effect that provides strong constraints to the local-model bispectrum—is far weaker for the equilateral and self-ordering-scalar-field models of non-Gaussianity. The bias scale dependence for the orthogonal and folded models is weaker than in the local model (~k^(-1)), but likely still strong enough to be constraining.We show that departures from scale-invariance of the primordial power spectrum may lead to order-unity corrections, relative to predictions made assuming scale-invariance—to the non-Gaussian bias in some of these nonlocal models for non-Gaussianity. An Appendix shows that a nonlocal model can produce the local-model bispectrum, a mathematical curiosity we uncovered in the course of this investigation.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.82.103002DOIUNSPECIFIED
http://prd.aps.org/abstract/PRD/v82/i10/e103002PublisherUNSPECIFIED
Additional Information:© 2010 American Physical Society. Received 6 August 2010; published 5 November 2010. We would like to thank Neal Dalal, Olivier Doré, Lam Hui, Donghui Jeong, Román Scoccimarro, and Sarah Shandera for enlightening discussions. This work was supported by DOE DE-FG03-92-ER40701, NASA NNX10AD04G, and the Gordon and Betty Moore Foundation.
Group:TAPIR
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
NASANNX10AD04G
Gordon and Betty Moore Foundation UNSPECIFIED
Classification Code:PACS: 95.30.Sf, 95.36.+x, 98.80.-k, 98.80.Jk
Record Number:CaltechAUTHORS:20101207-091750993
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101207-091750993
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21209
Collection:CaltechAUTHORS
Deposited By: Benjamin Perez
Deposited On:07 Dec 2010 17:35
Last Modified:26 Dec 2012 12:43

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