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Signature of primordial non-Gaussianity of ϕ3 type in the mass function and bias of dark matter haloes


Desjacques, V; Seljak, U (2010). Signature of primordial non-Gaussianity of ϕ3 type in the mass function and bias of dark matter haloes. Physical Review D, 81(2):023006.

Abstract

We explore the effect of a cubic correction gNLϕ3 on the mass function and bias of dark matter haloes extracted from a series of large N-body simulations and compare it to theoretical predictions. Such cubic terms can be motivated in scenarios like the curvaton model, in which a large cubic correction can be produced while simultaneously keeping the quadratic fNLϕ2 correction small. The deviation from the Gaussian halo mass function is in reasonable agreement with the theoretical predictions. The scale-dependent bias correction Δbκ(k,gNL) measured from the auto- and cross-power spectrum of haloes, is similar to the correction in fNL models, but the amplitude is lower than theoretical expectations. Using the compilation of LSS data in [A. Slosar , J. Cosmol. Astropart. Phys.1475-7516 08 (2008) 03110.1088/1475-7516/2008/08/031], we obtain for the first time a limit on gNL of -3.5×105<gNL<+8.2×105 (at 95% CL). This limit will improve with the future LSS data by 1-2 orders of magnitude, which should test many of the scenarios of this type.

Abstract

We explore the effect of a cubic correction gNLϕ3 on the mass function and bias of dark matter haloes extracted from a series of large N-body simulations and compare it to theoretical predictions. Such cubic terms can be motivated in scenarios like the curvaton model, in which a large cubic correction can be produced while simultaneously keeping the quadratic fNLϕ2 correction small. The deviation from the Gaussian halo mass function is in reasonable agreement with the theoretical predictions. The scale-dependent bias correction Δbκ(k,gNL) measured from the auto- and cross-power spectrum of haloes, is similar to the correction in fNL models, but the amplitude is lower than theoretical expectations. Using the compilation of LSS data in [A. Slosar , J. Cosmol. Astropart. Phys.1475-7516 08 (2008) 03110.1088/1475-7516/2008/08/031], we obtain for the first time a limit on gNL of -3.5×105<gNL<+8.2×105 (at 95% CL). This limit will improve with the future LSS data by 1-2 orders of magnitude, which should test many of the scenarios of this type.

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Additional indexing

Other titles:Signature of primordial non-Gaussianity of phi^3-type in the mass function and bias of dark matter haloes
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:January 2010
Deposited On:01 Mar 2011 10:08
Last Modified:05 Apr 2016 14:09
Publisher:American Physical Society
ISSN:1550-2368
Publisher DOI:https://doi.org/10.1103/PhysRevD.81.023006
Related URLs:http://arxiv.org/abs/0907.2257

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Download PDF  'Signature of primordial non-Gaussianity of ϕ3 type in the mass function and bias of dark matter haloes'.
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Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 1)
Size: 630kB