Precise calibration of the one-loop trispectrum in the effective field theory of large scale structure

Theodore, Steele,; Baldauf, Tobias

doi:10.1103/physrevd.103.103518

Cited by 19 publications

(22 citation statements)

References 30 publications

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“…In practice, this approach usually isolates a small number of correlation functions-like the power spectrum and the bispectrum-and calculates them to some fixed order in the loop expansion. On sufficiently large scales, the errors in such a calculation can easily reach sub-percent levels [90][91][92][93][94][95]. However, since the number of independent modes decreases on large scales, the regime where perturbation theory is under the best control is also where the data has limited constraining power.…”

Section: Theoretical Errorsmentioning

confidence: 99%

The Power of Locality: Primordial Non-Gaussianity at the Map Level

Baumann,

Green

2021

Preprint

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Primordial non-Gaussianity is a sensitive probe of the inflationary era, with a number of important theoretical targets living an order of magnitude beyond the reach of current CMB constraints. Maps of the large-scale structure of the universe, in principle, have the raw statistical power to reach these targets, but the complications of nonlinear evolution are thought to present serious, if not insurmountable, obstacles to reaching these goals. In this paper, we will argue that the challenge presented by nonlinear structure formation has been overstated. The information encoded in primordial non-Gaussianity resides in nonlocal correlations of the density field at three or more points separated by cosmological distances. In contrast, nonlinear evolution only alters the density field locally and cannot create or destroy these long-range correlations. This locality property of the late-time non-Gaussianity is obscured in Fourier space and in the standard bispectrum searches for primordial non-Gaussianity. We therefore propose to measure non-Gaussianity in the position space maps of the large-scale structure. As a proof of concept, we study the case of equilateral non-Gaussianity, for which the degeneracy with late-time nonlinearities is the most severe. We show that a map-level analysis is capable of breaking this degeneracy and thereby significantly improve the constraining power over previous estimates. Our findings suggest that "simulation-based inference" involving the forward modeling of large-scale structure maps has the potential to dramatically impact the search for primordial non-Gaussianity.

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Section: Theoretical Errorsmentioning

confidence: 99%

The Power of Locality: Primordial Non-Gaussianity at the Map Level

Baumann,

Green

2021

Preprint

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“…up to ≈ 720 at z s = 2). It would thus be interesting to compute the kurt-spectra including the contribution from the one-loop matter trispectrum in the EFT framework [96][97][98] and compare its validity against simulations. We leave this for future work.…”

Section: Comparison With Theorymentioning

confidence: 99%

“…We also found that the tree-level SPT trispectrum cannot be used to reliably predict the shapes of the kurt-spectra, which involve contributions from modes at 100. A better theoretical modelling is thus required to accurately compute the kurt-spectra, such as including the EFT trispectrum at one loop [96][97][98] in the perturbative calculation. Another possibility is to use an emulator-based approach for cosmological statistics to avoid modelling of a fitting function (see e.g.…”

Section: Conclusion and Future Prospectsmentioning

confidence: 99%

“…Theoretical modelling of trispectra has attracted more attention recently [31,32]. Beyond the SPT, the effective field theory (EFT) based approach has been used to model the trispectrum [33,34], as well as the halo-model [35] and the hierarchical ansatz based approaches [36], which are valid in the quasi-linear and (highly) nonlinear regimes.…”

Section: Introductionmentioning

confidence: 99%

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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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“…In our successive work, we plan to implement the effect of galaxy bias as well as the effective-field-theory treatment (e.g., [20,[42][43][44]), the latter of which can mitigate the UV-sensitive behaviors of the SPT calculation, and we thus expect that the method has a potential to improve upon the SPT predictions. Note that the GridSPT algorithm has been applied to a precise calibration of the effective-fieldtheory counter terms for the bispectrum and trispectrum at next-to-leading order [45,46].…”

Section: Introductionmentioning

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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Precise calibration of the one-loop trispectrum in the effective field theory of large scale structure

Cited by 19 publications

References 30 publications

The Power of Locality: Primordial Non-Gaussianity at the Map Level

The Power of Locality: Primordial Non-Gaussianity at the Map Level

Weak Lensing Trispectrum and Kurt-Spectra

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

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