Nonlinear power spectrum from resummed perturbation theory: a leap beyond the BAO scale

Anselmi, Stefano; Pietroni, Massimo

doi:10.1088/1475-7516/2012/12/013

Cited by 58 publications

(112 citation statements)

References 66 publications

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“…When doing this, we obtain the same results as with the method described in the text. 16 A similar analysis can be extended to higher redshifts. We leave this to future work.…”

Section: Deriving the Countertermsmentioning

confidence: 80%

See 1 more Smart Citation

The Effective Field Theory of Large Scale Structures at two loops

Carrasco

Foreman

Green

et al. 2014

J. Cosmol. Astropart. Phys.

208

499

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Large scale structure surveys promise to be the next leading probe of cosmological information. It is therefore crucial to reliably predict their observables. The Effective Field Theory of Large Scale Structures (EFTofLSS) provides a manifestly convergent perturbation theory for the weakly non-linear regime of dark matter, where correlation functions are computed in an expansion of the wavenumber k of a mode over the wavenumber associated with the non-linear scale k NL . Since most of the information is contained at high wavenumbers, it is necessary to compute higher order corrections to correlation functions. After the one-loop correction to the matter power spectrum, we estimate that the next leading one is the two-loop contribution, which we compute here. At this order in k/k NL , there is only one counterterm in the EFTofLSS that must be included, though this term contributes both at tree-level and in several one-loop diagrams. We also discuss correlation functions involving the velocity and momentum fields. We find that the EFTofLSS prediction at two loops matches to percent accuracy the non-linear matter power spectrum at redshift zero up to k ∼ 0.6 h Mpc −1 , requiring just one unknown coefficient that needs to be fit to observations. Given that Standard Perturbation Theory stops converging at redshift zero at k ∼ 0.1 h Mpc −1 , our results demonstrate the possibility of accessing a factor of order 200 more dark matter quasi-linear modes than naively expected. If the remaining observational challenges to accessing these modes can be addressed with similar success, our results show that there is tremendous potential for large scale structure surveys to explore the primordial universe.

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“…When doing this, we obtain the same results as with the method described in the text. 16 A similar analysis can be extended to higher redshifts. We leave this to future work.…”

Section: Deriving the Countertermsmentioning

confidence: 80%

“…In some cases, it may be sufficient to resum the contributions of IR modes from all loop orders. Such dynamics should be well described by the perfect fluid equations, and several techniques have been developed to do this (see for example [4,15,16,17] 8 )…”

Section: Dimensional Analysis For the Real Universementioning

confidence: 99%

The Effective Field Theory of Large Scale Structures at two loops

Carrasco

Foreman

Green

et al. 2014

J. Cosmol. Astropart. Phys.

208

499

View full text Add to dashboard Cite

show abstract

“…(Previous comparisons of the emulator and perturbation theory can be found in Refs. [55,76].) Figure 2 compares linear perturbation theory, 1-loop SPT, and Time-RG to the power spectrum emulator, which is accurate to 1% for z < 1 and k < 1 hMpc −1 .…”

Section: A the Regime Of Validity Of Perturbation Theorymentioning

confidence: 99%

Large-scale structure formation with massive neutrinos and dynamical dark energy

et al. 2014

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Over the next decade, cosmological measurements of the large-scale structure of the Universe will be sensitive to the combined effects of dynamical dark energy and massive neutrinos. The matter power spectrum is a key repository of this information. We extend higher-order perturbative methods for computing the power spectrum to investigate these effects over quasi-linear scales. Through comparison with N-body simulations we establish the regime of validity of a Time-Renormalization Group (Time-RG) perturbative treatment that includes dynamical dark energy and massive neutrinos. We also quantify the accuracy of Standard (SPT), Renormalized (RPT) and Lagrangian Resummation (LPT) perturbation theories without massive neutrinos. We find that an approximation that neglects neutrino clustering as a source for nonlinear matter clustering predicts the Baryon Acoustic Oscillation (BAO) peak position to 0.25% accuracy for redshifts 1 ≤ z ≤ 3, justifying the use of LPT for BAO reconstruction in upcoming surveys. We release a modified version of the public Copter code which includes the additional physics discussed in the paper.

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“…Some improvements have recently been achieved on i) beyond the linear regime for the real space power spectrum using perturbation theory schemes. There are several models that attempt to do this task: cosmological standard perturbation theory (see Bernardeau et al 2002 and references therein), Lagrangian perturbation theories (Hivon et al 1995;Matsubara 2008;Carlson, White & Padmanabhan 2009;Okamura, Taruya & Matsubara 2011;Valageas & Nishimichi 2011), time renormalization (Pietroni 2008;Anselmi & Pietroni 2012), Eulerian resumed perturbation theories (Crocce & Scoccimarro 2006;Bernardeau, Crocce & Scoccimarro 2008;Wang & Szalay 2012;Elia et al 2011;Taruya et al 2012;Bernardeau, Crocce & Scoccimarro 2012) and closure theory (Taruya & Hiramatsu 2008). Recent improvements in the galaxy bias model describe accurately how the galaxies trace dark matter, including non-linear and non-local terms (Nishimichi & Taruya 2011;McDonald & Roy 2009;Saito et al 2014) in addition to primordial non-Gaussian terms (Biagetti et al 2014).…”

Section: Introductionmentioning

confidence: 99%

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies

Gil-Marín¹,

Percival²,

Brownstein³

et al. 2016

Mon. Not. R. Astron. Soc.

172

247

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We measure and analyse the clustering of the Baryon Oscillation Spectroscopic Survey (BOSS) relative to the line-of-sight (LOS), for LOWZ and CMASS galaxy samples drawn from the final Data Release 12 (DR12). The LOWZ sample contains 361 762 galaxies with an effective redshift of z lowz = 0.32, and the CMASS sample 777 202 galaxies with an effective redshift of z cmass = 0.57. From the power spectrum monopole and quadrupole moments around the LOS, we measure the growth of structure parameter f times the amplitude of dark matter density fluctuations σ 8 by modeling the Redshift-Space Distortion signal. When the geometrical Alcock-Paczynski effect is also constrained from the same data, we find joint constraints on f σ 8 , the product of the Hubble constant and the comoving sound horizon at the baryon drag epoch H(z)r s (z d ), and the angular distance parameter divided by the sound horizon D A (z)/r s (z d ). We find f (z lowz )σ 8 (z lowz ) = 0.394 ± 0.062, D A (z lowz )/r s (z d ) = 6.35 ± 0.19, H(z lowz )r s (z d ) = (11.41 ± 0.56) 10 3 kms −1 for the LOWZ sample, and f (z cmass )σ 8 (z cmass ) = 0.444 ± 0.038, D A (z cmass )/r s (z d ) = 9.42 ± 0.15, H(z cmass )r s (z d ) = (13.92 ± 0.44) 10 3 kms −1 for the CMASS sample. We find general agreement with previous BOSS DR11 measurements. Assuming the Hubble parameter and angular distance parameter are fixed at fiducial ΛCDM values, we find f (z lowz )σ 8 (z lowz ) = 0.485 ± 0.044 and f (z cmass )σ 8 (z cmass ) = 0.436 ± 0.022 for the LOWZ and CMASS samples, respectively.

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Nonlinear power spectrum from resummed perturbation theory: a leap beyond the BAO scale

Cited by 58 publications

References 66 publications

The Effective Field Theory of Large Scale Structures at two loops

The Effective Field Theory of Large Scale Structures at two loops

Large-scale structure formation with massive neutrinos and dynamical dark energy

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies

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