Revealing modified gravity signal in matter and halo hierarchical clustering

Abstract

We use a set of N-body simulations employing a modified gravity (MG) model with Vainshtein screening to study matter and halo hierarchical clustering. As test-case scenarios we consider two normal branch Dvali-Gabadadze-Porrati (nDGP) gravity models with mild and strong growth rate enhancement. We study higher-order correlation functions ${\xi }_n(R)$ up to $n=9$ and associated hierarchical amplitudes $S_n(R)\equiv {\xi }_n(R)/\sigma (R{)}^{2n-2}$. We find that the matter PDFs are strongly affected by the fifth-force on scales up to $50h^{-1}$Mpc, and the deviations from GR are maximised at $z=0$. For reduced cumulants $S_n$, we find that at small scales $R\le 10h^{-1}$Mpc the MG is characterised by lower values, with the deviation growing from $7\%$ in the reduced skewness up to even $40\%$ in $S_5$. To study the halo clustering we use a simple abundance matching and divide haloes into thee fixed number density samples. The halo two-point functions are weakly affected, with a relative boost of the order of a few percent appearing only at the smallest pair separations ($r\le 5h^{-1}$Mpc). In contrast, we find a strong MG signal in $S_n(R)$'s, which are enhanced compared to GR. The strong model exhibits a $>3\sigma$ level signal at various scales for all halo samples and in all cumulants. In this context, we find that the reduced kurtosis to be an especially promising cosmological probe of MG. Even the mild nDGP model leaves a $3\sigma$ imprint at small scales $R\le 3h^{-1}$Mpc, while the stronger model deviates from a GR-signature at nearly all scales with a significance of $>5\sigma$. Since the signal is persistent in all halo samples and over a range of scales, we advocate that the reduced kurtosis estimated from galaxy catalogues can potentially constitute a strong MG-model discriminatory as well as GR self-consistency test.

19 pages, 11 figures, comments are welcome

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• A Perturbative Approach to the Redshift Space Correlation Function: Beyond the Standard Model
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Modelling the matter bispectrum at small scales in modified gravity
• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Evolution of skewness and kurtosis of cosmic density fields
• Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
• Improved analytical modeling of the non-linear power spectrum in modified gravity cosmologies
• The Shape Dependence of Vainshtein Screening in the Cosmic Matter Bispectrum
• Uneven flows: On cosmic bulk flows, local observers, and gravity
• On the galaxy 3-point correlation function in Modified Gravity
• Galaxy and halo angular clustering in LCDM and Modified Gravity cosmologies
• Fast Generation of Weak Lensing Maps in Modified Gravity with COLA
• Bending the web: exploring the impact of modified gravity on the density field and halo properties within the cosmic web
• Anisotropic Counts-in-Cells in Redshift Space: A New Route to Cosmological Constraints from Galaxy Surveys
• Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells
• Universality of the halo mass function in modified gravity cosmologies