Primordial bispectrum and trispectrum contributions to the non-Gaussian excursion set halo mass function with diffusive drifting barrier

Achitouv, Ixandra; Corasaniti, Pier-Stefano

doi:10.1103/physrevd.86.083011

Cited by 13 publications

(18 citation statements)

References 27 publications

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“…Since the earliest attempts of modeling the abundance of bound objects in the presence of non-Gaussian initial conditions, this search has progressed side to side with models of the simpler Gaussian case: for instance, several attempts tried to extend the Press and Schechter (PS) mass function [169] to local-type non-Gaussianities in the initial conditions [170][171][172][173][174][175]. This extension was also studied for higher order primordial non-Gaussianities [172,176,177] and a range of other bispectrum shapes [178] ; the excursion set approach [179][180][181][182][183], which was introduced to solve problems suffered by the PS model, was thoroughtly also investigated with non-Gaussianity in the initial conditions [173][174][175][184][185][186][187][188][189][190][191][192][193][194][195]. Lastly, the peak model [196], which was recently combined with the excursion set approach in the Excursion Set Peaks (ESP) model [197,198], has been applied to non-Gaussian peak statistics [199][200][201][202][203][204].…”

Section: Analytic Approachesmentioning

confidence: 99%

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

Biagetti

2019

Galaxies

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The understanding of the primordial mechanism that seeded the cosmic structures we observe today in the sky is one of the major goals in cosmology. The leading paradigm for such a mechanism is provided by the inflationary scenario, a period of violent accelerated expansion in the very early stages of evolution of the universe. While our current knowledge of the physics of inflation is limited to phenomenological models which fit observations, an exquisite understanding of the particle content and interactions taking place during inflation would provide breakthroughs in our understanding of fundamental physics at high energies. In this review, we summarize recent theoretical progress in the modeling of the imprint of primordial interactions in the large-scale structures of the universe. We focus specifically on the effects of such interactions on the statistical distribution of dark-matter halos, providing a consistent treatment of the steps required to connect the correlations generated among fields during inflation all the way to the late-time correlations of halos.

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Section: Analytic Approachesmentioning

confidence: 99%

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

Biagetti

2019

Galaxies

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“…However, in order to have a coherent volume definition, we should consider walks smoothed with a (SX) filter when computing the multiplicity function. In this case, we use the same path integral technique as Maggiore & Riotto (2010a,b); Corasaniti & Achitouv (2011a); Achitouv & Corasaniti (2012b). Taking into account void-invoid and neglecting void-in-cloud effects, we find that the nonMarkovian corrections for a diffusive drifting barrier are:…”

Section: Excursion Set Approachmentioning

confidence: 99%

Testing spherical evolution for modelling void abundances

Achitouv

Neyrinck

Paranjape

2015

Mon. Not. R. Astron. Soc.

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We compare analytical predictions of void volume functions to those measured from Nbody simulations, detecting voids with the zobov void finder. We push to very small, nonlinear voids, below few h −1 .Mpc radius, by considering the unsampled DM density field. We also study the case where voids are identified using halos. We develop analytical formula for the void abundance of both the excursion set approach and the peaks formalism. These formula are valid for random walks smoothed with a top-hat filter in real space, with a large class of realistic barrier models. We test the extent to which the spherical evolution approximation, which forms the basis of the analytical predictions, models the highly aspherical voids that occur in the cosmic web, and are found by a watershed-based algorithm such as zobov. We show that the volume function returned by zobov is quite sensitive to the choice of treatment of sub-voids, a fact that has not been appreciated previously. For reasonable choices of sub-void exclusion, we find that the Lagrangian density δ v of the zobov voids -which is predicted to be a constant δ v ≈ −2.7 in the spherical evolution model -is different from the predicted value, showing substantial scatter and scale dependence. This result applies to voids identified at z = 0 with effective radius between 1 and 10M pc.h −1 . Our analytical approximations are flexible enough to give a good description of the resulting volume function; however, this happens for choices of parameter values that are different from those suggested by the spherical evolution assumption. We conclude that analytical models for voids must move away from the spherical approximation in order to be applied successfully to observations, and we discuss some possible ways forward.

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“…In section 2 of this paper we first briefly review the drifting diffusive barrier model [14,[20][21][22], built upon [17][18][19]. Then we show that the collapse overdensity measured in N-body simulations required to form halos is well approximated by this model, while a different type of barrier inspired by the physics of collapsing peaks leads to inconsistent predictions once it is plugged into the standard excursion set approach [12].…”

Section: Introductionmentioning

confidence: 99%

Computation of the halo mass function using physical collapse parameters: application to non-standard cosmologies

Achitouv

Wagner

Weller

et al. 2014

J. Cosmol. Astropart. Phys.

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Abstract. In this article we compare the halo mass function predicted by the excursion set theory with a drifting diffusive barrier against the results of N-body simulations for several cosmological models. This includes the standard ΛCDM case for a large range of halo masses, models with different types of primordial non-Gaussianity, and the Ratra-Peebles quintessence model of Dark Energy. We show that in all those cosmological scenarios, the abundance of dark matter halos can be described by a drifting diffusive barrier, where the two parameters describing the barrier have physical content. In the case of the Gaussian ΛCDM, the statistics are precise enough to actually predict those parameters at different redshifts from the initial conditions. Furthermore, we found that the stochasticity in the barrier is non-negligible making the simple deterministic spherical collapse model a bad approximation even at very high halo masses. We also show that using the standard excursion set approach with a barrier inspired by peak patches leads to inconsistent predictions of the halo mass function.

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Primordial bispectrum and trispectrum contributions to the non-Gaussian excursion set halo mass function with diffusive drifting barrier

Cited by 13 publications

References 27 publications

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

Testing spherical evolution for modelling void abundances

Computation of the halo mass function using physical collapse parameters: application to non-standard cosmologies

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