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Tree-Level Bispectrum in the Effective Field Theory of Large-Scale Structure extended to Massive Neutrinos
- Source :
- JCAP02(2019)038
- Publication Year :
- 2018
-
Abstract
- We compute the tree-level bispectrum of dark matter in the presence of massive neutrinos in the mildly non-linear regime in the context of the effective field theory of large-scale structure (EFTofLSS). For neutrinos, whose typical free streaming wavenumber ($k_{\rm fs}$) is longer than the non-linear scale ($k_{\mathrm{NL}}$), we solve a Boltzmann equation coupled to the effective fluid equation for dark matter. We solve perturbatively the coupled system by expanding in powers of the neutrino density fraction ($f_{\nu}$) and the ratio of the wavenumber of interest over the non-linear scale ($k/k_{\mathrm{NL}}$) and add suitable counterterms to remove the dependence from short distance physics. For equilateral configurations, we find that the total-matter tree-level bispectrum is approximately $16f_{\nu}$ times the dark matter one on short scales ($k > k_{\rm fs}$). The largest contribution stems from the back-reaction of massive neutrinos on the dark matter growth factor. On large scales ($k < k_{\rm fs}$) the contribution of neutrinos to the bispectrum is smaller by up to two orders of magnitude.<br />Comment: 34 pages, 12 figures; v2: JCAP published version, extended discussion of references
- Subjects :
- Astrophysics - Cosmology and Nongalactic Astrophysics
Subjects
Details
- Database :
- arXiv
- Journal :
- JCAP02(2019)038
- Publication Type :
- Report
- Accession number :
- edsarx.1804.06849
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1475-7516/2019/02/038