Fast computation of non-linear power spectrum in cosmologies with massive neutrinos

Abstract

We compute 1-loop corrections to the redshift space galaxy power spectrum in cosmologies containing additional scales, and hence kernels different from Einstein-de Sitter (EdS). Specifically, our method is tailored for cosmologies in the presence of massive neutrinos and some modified gravity models; in this article we concentrate on the former case. The perturbative kernels have contributions that we notice appear either from the logarithmic growth factor $f(k,t)$, which is scale-dependent because of the neutrino free-streaming, or from the failure of the commonly used approximation $f^2={\Omega }_m$. The latter contributions make the computation of loop corrections quite slow, precluding full-shape analyses for parameter estimation. However, we identify that the dominant pieces of the kernels come from the growth factor, allowing us to simplify the kernels but retaining the characteristic free-streaming scale introduced by the neutrinos' mass. Moreover, with this simplification one can exploit FFTLog methods to speed up the computations even more. We validate our analytical modeling and numerical method with halo catalogs extracted from the Quijote simulations finding good agreement with the, a priori, known cosmological parameters. We make public our Python code FOLPS$\nu$ to compute the redshift space power spectrum in a fraction of second. Code available at https://github.com/henoriega/FOLPS-nu.

arXiv comment38 pages + appendices, 13 figures. v2: Adds fits at redshift z=1

References in corpus (106)

• emcee: The MCMC Hammer
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Massive neutrinos and cosmology
• Large-Scale Galaxy Bias
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• An improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
• Overview of the Instrumentation for the Dark Energy Spectroscopic Instrument
• Nonlinear Evolution of Baryon Acoustic Oscillations
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Weighing Neutrinos with Galaxy Surveys
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The Quijote simulations
• Uncorrelated Modes of the Nonlinear Power Spectrum
• Gravity and Large-Scale Non-local Bias
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The IR-resummed Effective Field Theory of Large Scale Structures
• Constraints on the sum of the neutrino masses in dynamical dark energy models with $w(z)\ge -1$ are tighter than those obtained in $\Lambda$CDM
• Convolution Lagrangian perturbation theory for biased tracers
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Equivalence Principle and the Baryon Acoustic Peak
• Renormalized Halo Bias
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Cosmology with massive neutrinos II: on the universality of the halo mass function and bias
• Quantifying baryon effects on the matter power spectrum and the weak lensing shear correlation
• On the Renormalization of the Effective Field Theory of Large Scale Structures
• Modelling baryonic feedback for survey cosmology
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• A Lagrangian effective field theory
• Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Limits on $w$CDM from the EFTofLSS with the PyBird code
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• Infrared Resummation for Biased Tracers in Redshift Space
• Impact of massive neutrinos on nonlinear matter power spectrum
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Neutrino mass in cosmology: status and prospects
• Cosmological parameters from large scale structure - geometric versus shape information
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• On the most constraining cosmological neutrino mass bounds
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
• Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
• Scale-dependent galaxy bias, CMB lensing-galaxy cross-correlation, and neutrino masses
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• Cosmological constraints from BOSS with analytic covariance matrices
• Modelling the large scale structure of the Universe as a function of cosmology and baryonic physics
• COLA with scale-dependent growth: applications to screened modified gravity models
• A marked correlation function for constraining modified gravity models
• Cosmological Perturbations: Entering the Non-Linear Regime
• The impact of massive neutrinos on the abundance of massive clusters
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• New Neutrino Mass Bounds from Sloan Digital Sky Survey III Data Release 8 Photometric Luminous Galaxies
• Higher order corrections to the large scale matter power spectrum in the presence of massive neutrinos
• ShapeFit: extracting the power spectrum shape information in galaxy surveys beyond BAO and RSD
• Cosmology with the EFTofLSS and BOSS: dark energy constraints and a note on priors
• Fast Large Scale Structure Perturbation Theory using 1D FFTs
• Small Scale Perturbations in a General MDM Cosmology
• FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory
• Structure formation with massive neutrinos: going beyond linear theory
• Bias due to neutrinos must not uncorrect'd go
• A Perturbative Approach to the Redshift Space Power Spectrum: Beyond the Standard Model
• Exploring redshift-space distortions in large-scale structure
• Modeling Galaxies in Redshift Space at the Field Level
• Impact on the power spectrum of Screening in Modified Gravity Scenarios
• Third-order Perturbation Theory With Non-linear Pressure
• An analytic implementation of the IR-resummation for the BAO peak
• Large-Scale Structure Formation with Massive Neutrinos and Dynamical Dark Energy
• COLA with massive neutrinos
• Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal
• The Effective Field Theory of Large-Scale Structure in the presence of Massive Neutrinos
• A Lagrangian Perturbation Theory in the presence of massive neutrinos
• Lagrangian perturbation theory for modified gravity
• FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• Higher-order massive neutrino perturbations in large-scale structure
• Clustering in Massive Neutrino Cosmologies via Eulerian Perturbation Theory
• Higher-order initial conditions with massive neutrinos
• An accurate perturbative approach to redshift space clustering of biased tracers in modified gravity
• Loop corrections to the power spectrum for massive neutrino cosmologies with full time- and scale-dependence
• Describing massive neutrinos in cosmology as a collection of independent flows
• Interacting dark energy from the joint analysis of the power spectrum and bispectrum multipoles with the EFTofLSS
• Nonlinear evolution of initially biased tracers in modified gravity
• Vorticity generation in the Universe: A perturbative approach
• Weighing neutrinos with the halo environment
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Screenings in Modified Gravity: a perturbative approach
• The dark matter dispersion tensor in perturbation theory
• Neutrino Mass Signatures in the Galaxy Bispectrum
• Modeling the Marked Spectrum of Matter and Biased Tracers in Real- and Redshift-Space
• Fast numerical method to generate halo catalogs in modified gravity (part I): second-order Lagrangian Perturbation Theory

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• Testing signatures of phantom crossing through full-shape galaxy clustering analysis
• Analytical and EZmock covariance validation for the DESI 2024 results
• A comparison between Shapefit compression and Full-Modelling method with PyBird for DESI 2024 and beyond
• Neutrino masses from large-scale structures: future sensitivity and theory dependence
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• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Faster cosmological analysis with power spectrum without simulations
• Resonant neutrino self-interactions: Insights from the full shape galaxy power spectrum
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