# Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space

## Abstract

We investigate the accuracy of Eulerian perturbation theory for describing the matter and galaxy power spectra in real and redshift space in light of future observational probes for precision cosmology. Comparing the analytical results with a large suite of N-body simulations (160 independent boxes of 13.8 (Gpc/h){sup 3} volume each, which are publicly available), we find that re-summing terms in the standard perturbative approach predicts the real-space matter power spectrum with an accuracy of ∼<2% for k ≤ 0.20 h/Mpc at redshifts z∼<1.5. This is obtained following the widespread technique of writing the resummed propagator in terms of 1-loop contributions. We show that the accuracy of this scheme increases by considering higher-order terms in the resummed propagator. By combining resummed perturbation theories with several models for the mappings from real to redshift space discussed in the literature, the multipoles of the dark-matter power spectrum can be described with sub-percent deviations from N-body results for k ≤ 0.15 h/Mpc at z∼<1. As a consequence, the logarithmic growth rate, f, can be recovered with sub-percent accuracy on these scales. Extending the models to massive dark-matter haloes in redshift space, our results describe the monopole term from N-body data within 2% accuracy formore »

- Authors:

- Institut de Ciències de l'Espai (ICE), Facultat de Ciències, Campus UAB (IEEC-CSIC), Bellaterra E-08193 (Spain)
- Institut de Ciències del Cosmos (ICC), Universitat de Barcelona (IEEC-UB), Martí i Franquès 1, Barcelona E-08028 (Spain)
- Argelander Institut für Astronomie der Universität Bonn, Auf dem Hügel 71, D-53121 Bonn (Germany)

- Publication Date:

- OSTI Identifier:
- 22279814

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; COSMOLOGY; ENERGY SPECTRA; GALAXIES; MULTIPOLES; NONLUMINOUS MATTER; PERTURBATION THEORY; PROPAGATOR; RED SHIFT; SPACE; VISIBLE RADIATION

### Citation Formats

```
Gil-Marín, Héctor, Wagner, Christian, Verde, Licia, Jimenez, Raul, and Porciani, Cristiano, E-mail: hectorgil@icc.ub.edu, E-mail: cwagner@icc.ub.edu, E-mail: liciaverde@icc.ub.edu, E-mail: porciani@astro.uni-bonn.de, E-mail: raul.jimenez@icc.ub.edu.
```*Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space*. United States: N. p., 2012.
Web. doi:10.1088/1475-7516/2012/11/029.

```
Gil-Marín, Héctor, Wagner, Christian, Verde, Licia, Jimenez, Raul, & Porciani, Cristiano, E-mail: hectorgil@icc.ub.edu, E-mail: cwagner@icc.ub.edu, E-mail: liciaverde@icc.ub.edu, E-mail: porciani@astro.uni-bonn.de, E-mail: raul.jimenez@icc.ub.edu.
```*Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space*. United States. doi:10.1088/1475-7516/2012/11/029.

```
Gil-Marín, Héctor, Wagner, Christian, Verde, Licia, Jimenez, Raul, and Porciani, Cristiano, E-mail: hectorgil@icc.ub.edu, E-mail: cwagner@icc.ub.edu, E-mail: liciaverde@icc.ub.edu, E-mail: porciani@astro.uni-bonn.de, E-mail: raul.jimenez@icc.ub.edu. Thu .
"Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space". United States. doi:10.1088/1475-7516/2012/11/029.
```

```
@article{osti_22279814,
```

title = {Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space},

author = {Gil-Marín, Héctor and Wagner, Christian and Verde, Licia and Jimenez, Raul and Porciani, Cristiano, E-mail: hectorgil@icc.ub.edu, E-mail: cwagner@icc.ub.edu, E-mail: liciaverde@icc.ub.edu, E-mail: porciani@astro.uni-bonn.de, E-mail: raul.jimenez@icc.ub.edu},

abstractNote = {We investigate the accuracy of Eulerian perturbation theory for describing the matter and galaxy power spectra in real and redshift space in light of future observational probes for precision cosmology. Comparing the analytical results with a large suite of N-body simulations (160 independent boxes of 13.8 (Gpc/h){sup 3} volume each, which are publicly available), we find that re-summing terms in the standard perturbative approach predicts the real-space matter power spectrum with an accuracy of ∼<2% for k ≤ 0.20 h/Mpc at redshifts z∼<1.5. This is obtained following the widespread technique of writing the resummed propagator in terms of 1-loop contributions. We show that the accuracy of this scheme increases by considering higher-order terms in the resummed propagator. By combining resummed perturbation theories with several models for the mappings from real to redshift space discussed in the literature, the multipoles of the dark-matter power spectrum can be described with sub-percent deviations from N-body results for k ≤ 0.15 h/Mpc at z∼<1. As a consequence, the logarithmic growth rate, f, can be recovered with sub-percent accuracy on these scales. Extending the models to massive dark-matter haloes in redshift space, our results describe the monopole term from N-body data within 2% accuracy for scales k ≤ 0.15 h/Mpc at z∼<0.5; here f can be recovered within < 5% when the halo bias is known. We conclude that these techniques are suitable to extract cosmological information from future galaxy surveys.},

doi = {10.1088/1475-7516/2012/11/029},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 11,

volume = 2012,

place = {United States},

year = {2012},

month = {11}

}