An Analytically Tractable Marked Power Spectrum

Abstract

The increasing precision of cosmology data in the modern era is calling for methods to allow the extraction of non-Gaussian information using tools beyond two-point statistics. The marked power spectrum has the potential to extract beyond two-point information in a computationally efficient way while using much of the infrastructure already available for the power-spectrum. In this work we explore the marked power spectrum from an analytical perspective. In particular, we explore a low-order polynomial for the mark that allows us to better control the theoretical uncertainties and we show that with minimal new degrees of freedom the analytical results match measurements from N-body simulations for both the matter field and biased tracers in redshift space. Finally, we show that even within the limited forms of mark that we consider, there are degeneracies that can be broken by inclusion of the marked auto-spectrum or the cross-spectrum with the unmarked field. We discuss future theoretical developments that would enable us to apply this approach to survey data.

30 pages, 10 figures; minor revisions to match version accepted by JCAP

References in corpus (50)

• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• DESI 2024 IV: Baryon Acoustic Oscillations from the Lyman Alpha Forest
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• The Luminosity-Weighted or `Marked' Correlation Function
• A new approach to observational cosmology using the scattering transform
• The $\text{Abacus}$ Cosmological $N$-body Code
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• Towards an Optimal Estimation of Cosmological Parameters with the Wavelet Scattering Transform
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• The Abacus Cosmos: A Suite of Cosmological N-body Simulations
• Density split statistics: joint model of counts and lensing in cells
• AbacusHOD: A highly efficient extended multi-tracer HOD framework and its application to BOSS and eBOSS data
• A marked correlation function for constraining modified gravity models
• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Radiative Transfer Modeling of Lyman Alpha Emitters. II. New Effects in Galaxy Clustering
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• Near optimal bispectrum estimators for large-scale structure
• On Estimating Lyman-alpha Forest Correlations between Multiple Sightlines
• Linear redshift space distortions for cosmic voids based on galaxies in redshift space
• Redshift-space distortions with split densities
• Bias, redshift space distortions and primordial nongaussianity of nonlinear transformations: application to Lyman alpha forest
• Clipping the Cosmos: The Bias and Bispectrum of Large Scale Structure
• Breaking Halo Occupation Degeneracies with Marked Statistics
• Cosmological constraints from the capture of non-Gaussianity in Weak Lensing data
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• Marked clustering statistics in $f(R)$ gravity cosmologies
• Testing modified gravity using a marked correlation function
• Correlations in the three-dimensional Lyman-alpha forest contaminated by high column density absorbers
• The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Towards physics responsible for large-scale Lyman-$\alpha$ forest bias parameters
• Wavelet Moments for Cosmological Parameter Estimation
• The 3D Lyman-$\alpha$ Forest Power Spectrum from eBOSS DR16
• The Ly$\alpha$ forest flux correlation function: a perturbation theory perspective
• Modeling the Marked Spectrum of Matter and Biased Tracers in Real- and Redshift-Space
• Cosmological constraints from weak lensing scattering transform using HSC Y1 data
• Cosmology before noon with multiple galaxy populations
• Hitting the mark: Optimising Marked Power Spectra for Cosmology
• The Effective Field Theory and Perturbative Analysis for Log-Density Fields
• Towards an optimal marked correlation function analysis for the detection of modified gravity
• A new test of gravity -- I: Introduction to the method
• Fast Projected Bispectra: the filter-square approach
• Optimizing the Evolution of Perturbations in the $\Lambda$CDM Universe
• PolyBin3D: A Suite of Optimal and Efficient Power Spectrum and Bispectrum Estimators for Large-Scale Structure

Cited by in corpus (2)

• A theoretical approach to density-split clustering
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions