On the statistics of biased tracers in the effective field theory of large scale structures
Raul Angulo, Matteo Fasiello, Leonardo Senatore, Zvonimir Vlah
Institute of Cosmology & Gravitation
With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS (EFTofLSS) is a novel theoretical framework that aims to develop an analytic understanding of LSS at long distances, where inhomogeneities are small. We further develop the description of biased tracers in the EFTofLSS to account for the effect of baryonic physics and primordial non-Gaussianities, finding that new bias coefficients are required. Then, restricting to dark matter with Gaussian initial conditions, we describe the prediction of the EFTofLSS for the one-loop halo-halo and halo-matter two-point functions, and for the tree-level halo-halo-halo, matter-halo-halo and matter-matter-halo three-point functions. Several new bias coefficients are needed in the EFTofLSS, even though their contribution at a given order can be degenerate and the same parameters contribute to multiple observables. We develop a method to reduce the number of biases to an irreducible basis, and find that, at the order at which we work, seven bias parameters are enough to describe this extremely rich set of statistics. We then compare with the output of an N-body simulation where the normalization parameter of the linear power spectrum is set to σ8 = 0.9. For the lowest mass bin, we find percent level agreement up to ksime 0.3 h Mpc−1 for the one-loop two-point functions, and up to ksime 0.15 h Mpc−1 for the tree-level three-point functions, with the k-reach decreasing with higher mass bins. This is consistent with the theoretical estimates, and suggests that the cosmological information in LSS amenable to analytical control is much more than previously believed.
Journal of Cosmology and Astroparticle Physics
https://doi.org/10.1088/1475-7516/2015/09/029
astro-ph.CO
gr-qc
hep-ph
hep-th
10.1088/1475-7516/2015/09/029
On the statistics of biased tracers
This is an author-created, un-copyedited version of an article published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1475-7516/2015/09/029.
Accepted author manuscript (Post-print), 1.68 MB
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Halos Physics 100%
Effective Field Theory Physics 55%
field theories INIS 55%
Information Physics 22%
Independent Variables Physics 22%
Coefficients Physics 22%
information INIS 22%
Angulo, R., Fasiello, M., Senatore, L., & Vlah, Z. (2015). On the statistics of biased tracers in the effective field theory of large scale structures. Journal of Cosmology and Astroparticle Physics, 2015(09), [029]. https://doi.org/10.1088/1475-7516/2015/09/029
Angulo, Raul ; Fasiello, Matteo ; Senatore, Leonardo et al. / On the statistics of biased tracers in the effective field theory of large scale structures. In: Journal of Cosmology and Astroparticle Physics. 2015 ; Vol. 2015, No. 09.
@article{987a3223928142f59c3c0c60bf815a18,
title = "On the statistics of biased tracers in the effective field theory of large scale structures",
abstract = "With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS (EFTofLSS) is a novel theoretical framework that aims to develop an analytic understanding of LSS at long distances, where inhomogeneities are small. We further develop the description of biased tracers in the EFTofLSS to account for the effect of baryonic physics and primordial non-Gaussianities, finding that new bias coefficients are required. Then, restricting to dark matter with Gaussian initial conditions, we describe the prediction of the EFTofLSS for the one-loop halo-halo and halo-matter two-point functions, and for the tree-level halo-halo-halo, matter-halo-halo and matter-matter-halo three-point functions. Several new bias coefficients are needed in the EFTofLSS, even though their contribution at a given order can be degenerate and the same parameters contribute to multiple observables. We develop a method to reduce the number of biases to an irreducible basis, and find that, at the order at which we work, seven bias parameters are enough to describe this extremely rich set of statistics. We then compare with the output of an N-body simulation where the normalization parameter of the linear power spectrum is set to σ8 = 0.9. For the lowest mass bin, we find percent level agreement up to ksime 0.3 h Mpc−1 for the one-loop two-point functions, and up to ksime 0.15 h Mpc−1 for the tree-level three-point functions, with the k-reach decreasing with higher mass bins. This is consistent with the theoretical estimates, and suggests that the cosmological information in LSS amenable to analytical control is much more than previously believed.",
keywords = "astro-ph.CO, gr-qc, hep-ph, hep-th",
author = "Raul Angulo and Matteo Fasiello and Leonardo Senatore and Zvonimir Vlah",
note = "54 pages, 16 figures, v2: added references and explanations, corrected typos",
doi = "10.1088/1475-7516/2015/09/029",
journal = "Journal of Cosmology and Astroparticle Physics",
publisher = "IOP Publishing",
Angulo, R, Fasiello, M, Senatore, L & Vlah, Z 2015, 'On the statistics of biased tracers in the effective field theory of large scale structures', Journal of Cosmology and Astroparticle Physics, vol. 2015, no. 09, 029. https://doi.org/10.1088/1475-7516/2015/09/029
On the statistics of biased tracers in the effective field theory of large scale structures. / Angulo, Raul; Fasiello, Matteo; Senatore, Leonardo et al.
In: Journal of Cosmology and Astroparticle Physics, Vol. 2015, No. 09, 029, 09.09.2015.
T1 - On the statistics of biased tracers in the effective field theory of large scale structures
AU - Angulo, Raul
AU - Fasiello, Matteo
AU - Senatore, Leonardo
AU - Vlah, Zvonimir
N1 - 54 pages, 16 figures, v2: added references and explanations, corrected typos
N2 - With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS (EFTofLSS) is a novel theoretical framework that aims to develop an analytic understanding of LSS at long distances, where inhomogeneities are small. We further develop the description of biased tracers in the EFTofLSS to account for the effect of baryonic physics and primordial non-Gaussianities, finding that new bias coefficients are required. Then, restricting to dark matter with Gaussian initial conditions, we describe the prediction of the EFTofLSS for the one-loop halo-halo and halo-matter two-point functions, and for the tree-level halo-halo-halo, matter-halo-halo and matter-matter-halo three-point functions. Several new bias coefficients are needed in the EFTofLSS, even though their contribution at a given order can be degenerate and the same parameters contribute to multiple observables. We develop a method to reduce the number of biases to an irreducible basis, and find that, at the order at which we work, seven bias parameters are enough to describe this extremely rich set of statistics. We then compare with the output of an N-body simulation where the normalization parameter of the linear power spectrum is set to σ8 = 0.9. For the lowest mass bin, we find percent level agreement up to ksime 0.3 h Mpc−1 for the one-loop two-point functions, and up to ksime 0.15 h Mpc−1 for the tree-level three-point functions, with the k-reach decreasing with higher mass bins. This is consistent with the theoretical estimates, and suggests that the cosmological information in LSS amenable to analytical control is much more than previously believed.
AB - With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS (EFTofLSS) is a novel theoretical framework that aims to develop an analytic understanding of LSS at long distances, where inhomogeneities are small. We further develop the description of biased tracers in the EFTofLSS to account for the effect of baryonic physics and primordial non-Gaussianities, finding that new bias coefficients are required. Then, restricting to dark matter with Gaussian initial conditions, we describe the prediction of the EFTofLSS for the one-loop halo-halo and halo-matter two-point functions, and for the tree-level halo-halo-halo, matter-halo-halo and matter-matter-halo three-point functions. Several new bias coefficients are needed in the EFTofLSS, even though their contribution at a given order can be degenerate and the same parameters contribute to multiple observables. We develop a method to reduce the number of biases to an irreducible basis, and find that, at the order at which we work, seven bias parameters are enough to describe this extremely rich set of statistics. We then compare with the output of an N-body simulation where the normalization parameter of the linear power spectrum is set to σ8 = 0.9. For the lowest mass bin, we find percent level agreement up to ksime 0.3 h Mpc−1 for the one-loop two-point functions, and up to ksime 0.15 h Mpc−1 for the tree-level three-point functions, with the k-reach decreasing with higher mass bins. This is consistent with the theoretical estimates, and suggests that the cosmological information in LSS amenable to analytical control is much more than previously believed.
KW - astro-ph.CO
KW - gr-qc
KW - hep-ph
KW - hep-th
U2 - 10.1088/1475-7516/2015/09/029
DO - 10.1088/1475-7516/2015/09/029
JO - Journal of Cosmology and Astroparticle Physics
JF - Journal of Cosmology and Astroparticle Physics
Angulo R, Fasiello M, Senatore L, Vlah Z. On the statistics of biased tracers in the effective field theory of large scale structures. Journal of Cosmology and Astroparticle Physics. 2015 Sep 9;2015(09):029. doi: 10.1088/1475-7516/2015/09/029