Convolution Lagrangian perturbation theory for biased tracers beyond general relativity

Abstract

We compare analytic predictions for real and Fourier space two-point statistics for biased tracers from a variety of Lagrangian Perturbation Theory approaches against those from state of the art N-body simulations in $f(R)$ Hu-Sawicki and the nDGP braneworld modified gravity theories. We show that the novel physics of gravitational collapse in scalar tensor theories with the chameleon or the Vainshtein screening mechanism can be effectively factored in with bias parameters analytically predicted using the Peak-Background Split formalism when updated to include the environmental sensitivity of modified gravity theories as well as changes to the halo mass function. We demonstrate that Convolution Lagrangian Perturbation Theory (CLPT) and Standard Perturbation Theory (SPT) approaches provide accurate analytic methods to predict the correlation function and power spectra, respectively, for biased tracers in modified gravity models and are able to characterize both the BAO, power-law and small scale regimes needed for upcoming galaxy surveys such as DESI, Euclid, LSST and WFIRST.

29 pages, 11 figures. Updated to match published version in PRD. Codes for the calculation of the MG growth factors and LPT 2-point statistics can be found at https://github.com/CornellCosmology/bias_MG_LPT_products

References in corpus (29)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Dark Energy after GW170817: dead ends and the road ahead
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• Environmental Dependence of Masses and Coupling Constants
• f(R) Gravity and Chameleon Theories
• A critical look at cosmological perturbation theory techniques
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• How to suppress the shot noise in galaxy surveys
• The Gaussian streaming model and Lagrangian effective field theory
• A marked correlation function for constraining modified gravity models
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• Regularized cosmological power spectrum and correlation function in modified gravity models
• Perturbation theory and excursion set estimates of the probability distribution function of dark matter, and a method for reconstructing the initial distribution function
• Beyond delta: Tailoring marked statistics to reveal modified gravity
• Comparing halo bias from abundance and clustering

Cited by in corpus (2)

• Non-linear matter power spectrum without screening dynamics modelling in $f(R)$ gravity
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