Non-local halo bias with and without massive neutrinos

Abstract

Understanding the biasing between the clustering properties of halos and the underlying dark matter distribution is important for extracting cosmological information from ongoing and upcoming galaxy surveys. While on sufficiently larges scales the halo overdensity is a local function of the mass density fluctuations, on smaller scales the gravitational evolution generates non-local terms in the halo density field. We characterize the magnitude of these contributions at third-order in perturbation theory by identifying the coefficients of the non-local invariant operators, and extend our calculation to include non-local (Lagrangian) terms induced by a peak constraint. We apply our results to describe the scale-dependence of halo bias in cosmologies with massive neutrinos. The inclusion of gravity-induced non-local terms and, especially, a Lagrangian $k^2$-contribution is essential to reproduce the numerical data accurately. We use the peak-background split to derive the numerical values of the various bias coefficients from the excursion set peak mass function. For neutrino masses in the range $0\le {\sum }_i{m}_{{\nu }_i}\le 0.6$ eV, we are able to fit the data with a precision of a few percents up to $k=0.3h\mathrm{Mp}{\mathrm{c}}^{-1}$ without any free parameter.

18 pages, 4 figures, v2: clarifications added in the text, added references, accepted for publication in PRD

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• The Gaussian streaming model and Lagrangian effective field theory
• Halo bias in mixed dark matter cosmologies
• Structure formation with massive neutrinos: going beyond linear theory
• Cosmological Constraints on Light (but Massive) Relics
• Dark matter and halo bispectrum in redshift space: theory and applications
• Comparing halo bias from abundance and clustering
• Probing massive neutrinos with the Minkowski functionals of large-scale structure
• Probing massive neutrinos with the Minkowski functionals of the galaxy distribution
• The Integrated Bispectrum in Modified Gravity Theories
• Updated neutrino mass constraints from galaxy clustering and CMB lensing-galaxy cross-correlation measurements