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Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding

Desjacques, Vincent and Jeong, Donghui and Schmidt, Fabian (2011) Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding. Physical Review D, 84 (6). Art. No. 063512. ISSN 2470-0010.

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Recent results of N-body simulations have shown that current theoretical models are not able to correctly predict the amplitude of the scale-dependent halo bias induced by primordial non-Gaussianity, for models going beyond the simplest, local quadratic case. Motivated by these discrepancies, we carefully examine three theoretical approaches based on (1) the statistics of thresholded regions, (2) a peak-background split method based on separation of scales, and (3) a peak-background split method using the conditional mass function. We first demonstrate that the statistics of thresholded regions, which is shown to be equivalent at leading order to a local bias expansion, cannot explain the mass-dependent deviation between theory and N-body simulations. In the two formulations of the peak-background split on the other hand, we identify an important, but previously overlooked, correction to the non-Gaussian bias that strongly depends on halo mass. This new term is in general significant for any primordial non-Gaussianity going beyond the simplest local fNL model. In a separate paper (to be published in PRD rapid communication), the authors compare these new theoretical predictions with N-body simulations, showing good agreement for all simulated types of non-Gaussianity.

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Additional Information:© 2011 American Physical Society. Received 20 May 2011; published 14 September 2011. We are grateful to Tobias Baldauf, Olivier Doré, Chris Hirata, Marc Kamionkowski, Eichiiro Komatsu, Román Scoccimárro, Emiliano Sefusatti, Leonardo Senatore, Ravi Sheth for many fruitful discussions, and to Sirichai Chongchitnan and Ravi Sheth for comments on an early version of this manuscript. VD wishes to thank Theoretical Astrophysics at Caltech and the Center for Cosmological Physics at Berkeley for hospitality during the completion of parts of this work. DJ and FS are supported by the Gordon and Betty Moore Foundation at Caltech. VD is supported by the Swiss National Science Foundation under Contract No. 200021-116696/1 and by FK UZH 57184001.
Group:Moore Center for Theoretical Cosmology and Physics
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Gordon and Betty Moore FoundationUNSPECIFIED
Swiss National Science Foundation (SNSF)200021-116696/1
FK UZH57184001
Issue or Number:6
Classification Code:PACS: 98.80.-k, 98.65.-r, 98.80.Cq, 95.36.+x
Record Number:CaltechAUTHORS:20110930-130454310
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:25514
Deposited By: Tony Diaz
Deposited On:06 Oct 2011 16:24
Last Modified:03 Oct 2019 03:06

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