A Lagrangian Perturbation Theory in the presence of massive neutrinos

Abstract

We develop a Lagrangian Perturbation Theory (LPT) framework to study the clustering of cold dark matter (CDM) in cosmologies with massive neutrinos. We follow the trajectories of CDM particles with Lagrangian displacements fields up to third order in perturbation theory. Once the neutrinos become non-relativistic, their density fluctuations are modeled as being proportional to the CDM density fluctuations, with a scale-dependent proportionality factor. This yields a gravitational back-reaction that introduces additional scales to the linear growth function, which is accounted for in the higher order LPT kernels. Through non-linear mappings from Eulerian to Lagrangian frames, we ensure that our theory has a well behaved large scale behavior free of unwanted UV divergences, which are common when neutrino and CDM densities are not treated on an equal footing, and in resummation schemes that manifestly break Galilean invariance. We use our theory to construct correlation functions for both the underlying matter field, as well as for biased tracers using Convolution-LPT. Redshift-space distortions effects are modeled using the Gaussian Streaming Model. When comparing our analytical results to simulated data from the Quijote simulation suite, we find good accuracy down to $r=20\text{Mpc}{h}^{-1}$ at redshift $z=0.5$, for the real space and redshift space monopole particle correlation functions with no free parameters. The same accuracy is reached for the redshift space quadrupole if we additionally consider an effective field theory parameter that shifts the pairwise velocity dispersion. For modeling the correlation functions of tracers we adopt a simple Lagrangian biasing scheme with only density and curvature operators, which we find sufficient to reach down to $r=20\text{Mpc}{h}^{-1}$ when comparing to simulated halos.

34 pages, 8 figures

References in corpus (16)

• Massive neutrinos and cosmology
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Impact of massive neutrinos on nonlinear matter power spectrum
• Simulating nonlinear cosmological structure formation with massive neutrinos
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• The Gaussian streaming model and Lagrangian effective field theory
• Halo bias in mixed dark matter cosmologies
• A marked correlation function for constraining modified gravity models
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• Structure formation with massive neutrinos: going beyond linear theory
• Third-order Perturbation Theory With Non-linear Pressure
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Marked correlation functions in perturbation theory

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