On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
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 nonGaussianities, 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 oneloop halohalo and halomatter twopoint functions, and for the treelevel halohalohalo, matterhalohalo and mattermatterhalo threepoint 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 Nbody simulation where themore »
 Authors:

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 Centro de Estudios de Fisica del Cosmos de Aragon, Teruel (Spain)
 Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Report Number(s):
 SLACPUB16633
Journal ID: ISSN 14757516; arXiv:1503.08826
 Grant/Contract Number:
 AC0276SF00515
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2015; Journal Issue: 09; Journal ID: ISSN 14757516
 Publisher:
 Institute of Physics (IOP)
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; astrophysics; gravitation and cosmology; phenomenologyHEP; theoryHEP; ASTRO; galaxy clustering; power spectrum; cosmological perturbation theory
 OSTI Identifier:
 1263405
Angulo, Raul, Fasiello, Matteo, Senatore, Leonardo, and Vlah, Zvonimir. On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures. United States: N. p.,
Web. doi:10.1088/14757516/2015/09/029.
Angulo, Raul, Fasiello, Matteo, Senatore, Leonardo, & Vlah, Zvonimir. On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures. United States. doi:10.1088/14757516/2015/09/029.
Angulo, Raul, Fasiello, Matteo, Senatore, Leonardo, and Vlah, Zvonimir. 2015.
"On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures". United States.
doi:10.1088/14757516/2015/09/029. https://www.osti.gov/servlets/purl/1263405.
@article{osti_1263405,
title = {On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures},
author = {Angulo, Raul and Fasiello, Matteo and Senatore, Leonardo and Vlah, Zvonimir},
abstractNote = {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 nonGaussianities, 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 oneloop halohalo and halomatter twopoint functions, and for the treelevel halohalohalo, matterhalohalo and mattermatterhalo threepoint 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 Nbody 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 k ≃ 0.3 h Mpc–1 for the oneloop twopoint functions, and up to k ≃ 0.15 h Mpc–1 for the treelevel threepoint functions, with the kreach decreasing with higher mass bins. In conclusion, 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.},
doi = {10.1088/14757516/2015/09/029},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2015,
place = {United States},
year = {2015},
month = {9}
}