Perturbative description of biased tracers using consistency relations of LSS

Fujita, Tomohiro; Vlah, Zvonimir

doi:10.1088/1475-7516/2020/10/059

Cited by 39 publications

(52 citation statements)

References 68 publications

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“…Neutrinos have been included in the EFTofLSS in [53,54], clustering dark energy in [55,26,56,57], and primordial non-Gaussianities in [47,58,59,60,52,61]. The exact-time dependence in the loop has been clarified in [62,63]. Faster evaluation schemes for the calculation of some of the loop integrals have been developed in [64].…”

Section: Introductionmentioning

confidence: 99%

Taming redshift-space distortion effects in the EFTofLSS and its application to data

D’Amico¹,

Senatore²,

Zhang³

et al. 2021

Preprint

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Former analyses of the BOSS data using the Effective Field Theory of Large-Scale Structure (EFTofLSS) have measured that the largest counterterms are the redshift-space distortion ones. This allows us to adjust the power-counting rules of the theory, and to explicitly identify that the leading next-order terms have a specific dependence on the cosine of the angle between the line-of-sight and the wavenumber of the observable, µ. Such a specific µ-dependence allows us to construct a linear combination of the data multipoles, / P , where these contributions are effectively projected out, so that EFTofLSS predictions for / P have a much smaller theoretical error and so a much higher k-reach. The remaining data are organized in wedges in µ space, have a µ-dependent k-reach because they are not equally affected by the leading next-order contributions, and therefore can have a higher k-reach than the multipoles. Furthermore, by explicitly including the highest next-order terms, we define a 'one-loop+' procedure, where the wedges have even higher k-reach. We study the effectiveness of these two procedures on several sets of simulations and on the BOSS data. The resulting analysis has identical computational cost as the multipole-based one, but leads to an improvement on the determination of some of the cosmological parameters that ranges from 10% to 100%, depending on the survey properties.

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Section: Introductionmentioning

confidence: 99%

Taming redshift-space distortion effects in the EFTofLSS and its application to data

D’Amico¹,

Senatore²,

Zhang³

et al. 2021

Preprint

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show abstract

“…In addition, it is rather straightforward to implement a general expansion scheme to deal with the galaxy bias that has been actually exploited on the basis of SPT (e.g., Refs. [21,22,[77][78][79][80], see Ref. [1] for review).…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level

Taruya,

Nishimichi,

Jeong

2021

Preprint

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Perturbation theory (PT) has been used to interpret the observed nonlinear large-scale structure statistics at the quasi-linear regime. To facilitate the PT-based analysis, we have presented the GridSPT algorithm, a grid-based method to compute the nonlinear density and velocity fields in standard perturbation theory (SPT) from a given linear power spectrum. Here, we further put forward the approach by taking the redshift-space distortions into account. With the new implementation, we have, for the first time, generated the redshift-space density field to the fifth order and computed the next-to-next-to-leading order (2 loop) power spectrum and the next-to-leading order (1 loop) bispectrum of matter clustering in redshift space. By comparing the result with corresponding analytical SPT calculation and N -body simulations, we find that the SPT calculation (A) suffers much more from the UV sensitivity due to the higher-derivative operators and (B) deviates from the N -body results from the Fourier wavenumber smaller than real space kmax. Finally, we have shown that while Padé approximation removes spurious features in morphology, it does not improve the modeling of power spectrum and bispectrum.

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“…This can be understood from the way the matter trispectrum in Fourier space is projected to harmonic space: the collapsed limit is dominated by terms that scale as inverse powers of s in the SPT trispectrum. It turns out that these terms fully cancel in the rhombus-like configurations k 1 = k 2 = k 3 = k 4 in Fourier space, ensuring the infrared safety of the one-loop power spectrum and that the consistency relations are satisfied [86]. While this continues to be true under the Limber approximation that simply amounts to the substitution k i → i r (c.f.…”

Section: Weak Lensing Trispectrummentioning

confidence: 95%

Weak Lensing Trispectrum and Kurt-Spectra

Munshi¹,

Lee²,

Dvorkin³

et al. 2021

Preprint

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We introduce two kurt-spectra to probe fourth-order statistics of weak lensing convergence maps. Using state-of-the-art numerical simulations, we study the shapes of these kurt-spectra as a function of source redshifts and smoothing angular scales. We employ a pseudo-C approach to estimate the spectra from realistic convergence maps in the presence of an observational mask and noise for stage-IV large-scale structure surveys. We compare these results against theoretical predictions calculated using the FFTLog formalism, and find that a simple nonlinear clustering model-the hierarchical ansatz-can reproduce the numerical trends for the kurt-spectra in the nonlinear regime. In addition, we provide estimators for beyond fourth-order spectra where no definitive analytical results are available, and present corresponding results from numerical simulations.

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Perturbative description of biased tracers using consistency relations of LSS

Cited by 39 publications

References 68 publications

Taming redshift-space distortion effects in the EFTofLSS and its application to data

Taming redshift-space distortion effects in the EFTofLSS and its application to data

Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level

Weak Lensing Trispectrum and Kurt-Spectra

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