Relativistic N-body simulations with massive neutrinos

Abstract

Some of the dark matter in the Universe is made up of massive neutrinos. Their impact on the formation of large scale structure can be used to determine their absolute mass scale from cosmology, but to this end accurate numerical simulations have to be developed. Due to their relativistic nature, neutrinos pose additional challenges when one tries to include them in N-body simulations that are traditionally based on Newtonian physics. Here we present the first numerical study of massive neutrinos that uses a fully relativistic approach. Our N-body code, gevolution, is based on a weak-field formulation of general relativity that naturally provides a self-consistent framework for relativistic particle species. This allows us to model neutrinos from first principles, without invoking any ad-hoc recipes. Our simulation suite comprises some of the largest neutrino simulations performed to date. We study the effect of massive neutrinos on the nonlinear power spectra and the halo mass function, focusing on the interesting mass range between 0.06 eV and 0.3 eV and including a case for an inverted mass hierarchy.

arXiv comment26 pages + appendix, 17 figures; v2: minor revision, published version; code available at https://github.com/gevolution-code/gevolution-1.1

References in corpus (57)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Planck 2015 results. XIII. Cosmological parameters
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The cosmological simulation code GADGET-2
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• The Reactor Antineutrino Anomaly
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Massive neutrinos and cosmology
• Euclid Definition Study Report
• LSST Science Book, Version 2.0
• Cosmology and fundamental physics with the Euclid satellite
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Improved Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations in the MiniBooNE Experiment
• The Cosmic Linear Anisotropy Solving System (CLASS) IV: Efficient implementation of non-cold relics
• The DESI Experiment, a whitepaper for Snowmass 2013
• Science with the Square Kilometer Array: Motivation, Key Science Projects, Standards and Assumptions
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• A Combined ${\nu }_{\mu }\to {\nu }_e$ and ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillation Analysis of the MiniBooNE Excesses
• Current Direct Neutrino Mass Experiments
• Measuring the galaxy power spectrum with future redshift surveys
• DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos
• General relativity and cosmic structure formation
• An efficient implementation of massive neutrinos in non-linear structure formation simulations
• High Performance P3M N-body code: CUBEP3M
• gevolution: a cosmological N-body code based on General Relativity
• The Mira-Titan Universe II: Matter Power Spectrum Emulation
• Constraint on neutrino masses from SDSS-III/BOSS Ly$\alpha$ forest and other cosmological probes
• Connection between Newtonian simulations and general relativity
• Simulating nonlinear cosmological structure formation with massive neutrinos
• Grid Based Linear Neutrino Perturbations in Cosmological N-body Simulations
• Newtonian and Relativistic Cosmologies
• Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
• Initial Conditions for Accurate N-Body Simulations of Massive Neutrino Cosmologies
• Resolving Cosmic Neutrino Structure: A Hybrid Neutrino N-body Scheme
• Non-linear evolution of the cosmic neutrino background
• General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
• N-body methods for relativistic cosmology
• The cosmological background of vector modes
• Cosmological neutrino simulations at extreme scale
• Effects of the neutrino mass splitting on the non-linear matter power spectrum
• Precision reconstruction of the dark matter-neutrino relative velocity from N-body simulations
• A Review of Long-baseline Neutrino Oscillation Experiments
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• Relativistic Interpretation of Newtonian Simulations for Cosmic Structure Formation
• A Calculation of the Full Neutrino Phase Space in Cold+Hot Dark Matter Models
• The effect of early radiation in N-body simulations of cosmic structure formation
• Gauges and Cosmological Backreaction
• Newtonian versus relativistic cosmology
• Cosmological $N$-body simulations including radiation perturbations
• Nonlinear cosmological consistency relations and effective matter stresses
• Models of the Cosmological 21 cm Signal from the Epoch of Reionization Calibrated with Lyman-alpha and CMB Data
• Latfield2: A c++ library for classical lattice field theory
• On the accuracy of N-body simulations at very large scales
• Baryonic acoustic oscillations simulations for the Large Synoptic Survey Telescope (LSST)

Cited by in corpus (63)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Large-scale dark matter simulations
• Euclid preparation: IX. EuclidEmulator2 -- Power spectrum emulation with massive neutrinos and self-consistent dark energy perturbations
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• MassiveNuS: Cosmological Massive Neutrino Simulations
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Detecting Neutrino Mass by Combining Matter Clustering, Halos, and Voids
• An optimal nonlinear method for simulating relic neutrinos
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• A double take on early and interacting dark energy from JWST
• Reducing Noise in Cosmological N-body Simulations with Neutrinos
• $\nu \mathrm{CO}N\mathrm{CEPT}$: Cosmological neutrino simulations from the non-linear Boltzmann hierarchy
• First detection of scale-dependent linear halo bias in $N$-body simulations with massive neutrinos
• The Generation of Vorticity in Cosmological N-body Simulations
• Fully relativistic treatment of light neutrinos in $N$-body simulations
• $k$-evolution: a relativistic N-body code for clustering dark energy
• Reconstruction of the neutrino mass as a function of redshift
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• Weak-lensing observables in relativistic N-body simulations
• Comparing Fully General Relativistic and Newtonian Calculations of Structure Formation
• GRAMSES: a new route to general relativistic $N$-body simulations in cosmology. Part I. Methodology and code description
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Higher-order initial conditions with massive neutrinos
• The Limited Accuracy of Linearized Gravity
• A new approach to cosmological structure formation with massive neutrinos
• Euclid: Modelling massive neutrinos in cosmology -- a code comparison
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• Parametrising non-linear dark energy perturbations
• One line to run them all: SuperEasy massive neutrino linear response in $N$-body simulations
• Fast simulations of cosmic large-scale structure with massive neutrinos
• Simulation techniques for modified gravity
• Clustering dark energy imprints on cosmological observables of the gravitational field
• The void-galaxy cross-correlation function with massive neutrinos and modified gravity
• Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison
• Measuring anisotropic stress with relativistic effects
• General Relativistic corrections in density-shear correlations
• Combining gravitational lensing and gravitational redshift to measure the anisotropic stress with future galaxy surveys
• General Relativistic Cosmological N-body Simulations I: time integration
• Geodesic motion and phase-space evolution of massive neutrinos
• Sesame: A power spectrum emulator pipeline for beyond-$\Lambda$CDM models
• Relativistic bias in neutrino cosmologies
• Momentum space sampling of neutrinos in $N$-body simulations
• asevolution: a relativistic N-body implementation of the (a)symmetron
• Neutrino winds on the sky
• Relativistic Corrections to the Growth of Structure in Modified Gravity
• A Minimal Model for Massive Neutrinos in Newtonian N-body Simulations
• Hybrid multi-fluid-particle simulations of the cosmic neutrino background
• Improving initialization and evolution accuracy of cosmological neutrino simulations
• A solution to the S8 tension through neutrino-dark matter interactions
• A Relativistic Interpretation of Bias in Newtonian Simulations
• Suitable Initial Conditions for Newtonian Simulations with Massive Neutrinos
• Neutrinos in N-body simulations
• A new instability in clustering dark energy?
• GrGadget: an N-body TreePM relativistic code for cosmological simulations
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• One-point Statistics in various cosmic environments in the presence of massive neutrinos
• Nonlinear Matter Power Spectrum from relativistic $N$-body Simulations: ${\Lambda }_{\mathrm{s}}$CDM versus $\Lambda$CDM
• Clustering of dark matter in the cosmic web as a probe of massive neutrinos
• Large scale structures: from inflation to today: a brief report
• Slow neutrinos: non-linearity and momentum-space emulation
• Perturbative and numerical study of nonlinear relativistic effects in weak lensing
• Cosmic velocity, density and halo mass function: Insights from deep learning
• Mapping the cosmic mass distribution with stacked weak gravitational lensing and Doppler lensing