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

Theodore, Steele,; Baldauf, Tobias

doi:10.1103/physrevd.103.023520

Cited by 38 publications

(54 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is in line with findings for the two-loop power spectrum [46] and expectations based on theoretical errors [47]. In [44] it was also pointed out, that the common EdS approximation for the non-linear F 2 kernel leads to errors that exceed the size of the one-loop bispectrum on large scales. Finally, cubic interactions in the matter trispectrum [48] were studied in [49,50] based on the covariance matrix and more recently by [51] in explicit measurements of the trispectrum.…”

supporting

confidence: 88%

“…The EFT modelling of the one-loop bispectrum was first presented in [42,43]. Here we follow the approach and notation presented in [42] and [44]. The EFT contribution to the one-loop bispectrum can be written in the form…”

Section: One-loop Eft Termsmentioning

confidence: 99%

“…This means the linear combination of basis shape functions needs to satisfy the constraint (36), which implies that it can be fully specified by four independent coefficients. Following [44], we parametrize these four coefficients by 1,2,3 and γ 1−loop 3 ,…”

Section: One-loop Eft Termsmentioning

confidence: 99%

“…Within an EFT framework the matter bispectrum has been studied in [42,43]. Recently, precision tests of the one-loop bispectrum [44,45] have pointed out that the range of validity of the one-loop EFT is much more restricted than expected by initial studies. This is in line with findings for the two-loop power spectrum [46] and expectations based on theoretical errors [47].…”

mentioning

confidence: 99%

See 3 more Smart Citations

The two-loop bispectrum of large-scale structure

Baldauf,

Garny,

Taule

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

The bispectrum is the leading non-Gaussian statistic in large-scale structure, carrying valuable information on cosmology that is complementary to the power spectrum. To access this information, we need to model the bispectrum in the weakly non-linear regime. In this work we present the first two-loop, i.e., next-to-next-to-leading order perturbative description of the bispectrum within an effective field theory (EFT) framework. Using an analytic expansion of the perturbative kernels up to F6 we derive a renormalized bispectrum that is demonstrated to be independent of the UV cutoff. We show that the EFT parameters associated with the four independent second-order EFT operators known from the one-loop bispectrum are sufficient to absorb the UV sensitivity of the twoloop contributions in the double-hard region. In addition, we employ a simplified treatment of the single-hard region, introducing one extra EFT parameter at two-loop order. We compare our results to N-body simulations using the realization-based grid-PT method and find good agreement within the expected range, as well as consistent values for the EFT parameters. The two-loop terms start to become relevant at k ≈ 0.07h Mpc −1 . The range of wavenumbers with percent-level agreement, independently of the shape, extends from 0.08h Mpc −1 to 0.15h Mpc −1 when going from one to two loops at z = 0. In addition, we quantify the impact of using exact instead of Einstein-de-Sitter kernels for the one-loop bispectrum, and discuss in how far their impact can be absorbed into a shift of the EFT parameters.

show abstract

supporting

confidence: 88%

Section: One-loop Eft Termsmentioning

confidence: 99%

Section: One-loop Eft Termsmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

The two-loop bispectrum of large-scale structure

Baldauf,

Garny,

Taule

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore, in order to extend the above procedure to higher loops or higher n-point statistics, one should first find the scaling of all UV contributions in each SPT diagram, and then check if the counter-term producing this specific scaling is allowed in the effective stress-tensor. This procedure has been successfully done for both the 2-loop [112,108] and 3-loop [113] power spectrum, the 1-loop bispectrum [105,114] and the 1-loop trispectrum [115,116]. The main results of this work will obtained using only the 1-loop power spectrum.…”

Section: )mentioning

confidence: 99%