Bispectrum as baryon acoustic oscillation interferometer

Child, Hillary L.; Takada, Masahiro; Nishimichi, Takahiro; Sunayama, Tomomi; Slepian, Zachary; Habib, Salman; Heitmann, Katrin

doi:10.1103/physrevd.98.123521

Cited by 13 publications

(5 citation statements)

References 92 publications

(167 reference statements)

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“…Recently however, it has been shown to generally add significant constraining power when combined with the power spectrum [28][29][30][31]. In particular the bispectrum shows promising potential in constraining neutrinos masses [32][33][34][35][36], detecting specific signatures of general relativity and relativistic effects [37][38][39][40][41], and measuring baryonic acoustic oscillations (BAO) [42,43], as it is also the case for the three-point correlation function [44,45]. Moreover, when considering primordial non-Gaussianities, three-point statistics are essential in lifting degeneracies with other cosmological parameters [46][47][48][49][50].…”

Section: Jcap07(2021)008mentioning

confidence: 99%

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Gualdi

Gil-Marín

Verde

2021

J. Cosmol. Astropart. Phys.

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We perform for the first time a joint analysis of the monopole and quadrupoles for power spectrum, bispectrum and integrated trispectrum (i-trispectrum) from the redshift space matter field in N-body simulations. With a full Markov Chain Monte Carlo exploration of the posterior distribution, we quantify the constraints on cosmological parameters for an object density of n p = 5 × 10-4 (h Mpc-1)3, redshift z = 0.5, and a covariance corresponding to a survey volume of V survey = 25 (h -1Gpc)3, a set up which is representative of forthcoming galaxy redshift surveys. We demonstrate the complementarity of the bispectrum and i-trispectrum in constraining key cosmological parameters. In particular, compared to the state-of-the-art power spectrum (monopole plus quadrupole) and bispectrum (monopole) analyses, we find 1D 68% credible regions smaller by a factor of (72%,78%,72%,47%,46%) for the parameters (f,σ8,f nl,α∥,α⊥) respectively. This work motivates the additional effort necessary to include the redshift-space anisotropic signal of higher-order statistics in the analysis and interpretation of ongoing and future galaxy surveys.

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Section: Jcap07(2021)008mentioning

confidence: 99%

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Gualdi

Gil-Marín

Verde

2021

J. Cosmol. Astropart. Phys.

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mentioning

confidence: 99%

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Gualdi,

Gil-Marin,

Verde

2021

Preprint

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We perform for the first time a joint analysis of the monopole and quadrupoles for power spectrum, bispectrum and integrated trispectrum (i-trispectrum) from the redshift space matter field in N-body simulations. With a full Markov Chain Monte Carlo exploration of the posterior distribution, we quantify the constraints on cosmological parameters for an object density of n p = 5 × 10 −4 (h Mpc −1 ) 3 , redshift z = 0.5, and a covariance corresponding to a survey volume of V survey = 25 (h −1 Gpc) 3 , a set up which is representative of forthcoming galaxy redshift surveys. We demonstrate the complementarity of the bispectrum and i-trispectrum in constraining key cosmological parameters. In particular, compared to the state-of-the-art power spectrum (monopole plus quadrupole) and bispectrum (monopole) analyses, we find 1D 68% credible regions smaller by a factor of (72%, 78%, 72%, 47%, 46%) for the parameters (f, σ 8 , f nl , α , α ⊥ ) respectively. This work motivates the additional effort necessary to include the redshift-space anisotropic signal of higher-order statistics in the analysis and interpretation of ongoing and future galaxy surveys.

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“…In the non-linear regime these studies have been largely restricted to simulations or phenomenological models, with the exception of [71]. It is clear that the 3-point statistics will provide an invaluable means of further constraining cosmology and deviations from GR [62,[72][73][74] and can be used in tandem with the power spectrum. For this reason, an accurate, gravity-general, non-linear theoretical prescription should be provided to large-scale structure survey pipelines.…”

Section: Jcap02(2020)025mentioning

confidence: 99%

Modelling the matter bispectrum at small scales in modified gravity

Bose

Byun

Lacasa

et al. 2020

J. Cosmol. Astropart. Phys.

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Future large-scale structure surveys will measure three-point statistics with high statistical significance. This will offer significant improvements on our understanding of gravity, provided we can model these statistics accurately. {We assess the performance of several schemes for theoretical modelling of the matter bispectrum, including halo-model based approaches and fitting formulae. We compare the model predictions against N-body simulations, considering scales up to kmax = 4 h/Mpc, well into non-linear regime of structure formation. Focusing on the equilateral configuration, we conduct this analysis for three theories of gravity: general relativity, f(R) gravity, and the DGP braneworld model. Additionally, we compute the lensing convergence bispectrum for these models. We find that all current modelling prescriptions in modified gravity, in particular for theories with scale-dependent linear growth, fail to attain the accuracy required by the precision of the Stage IV surveys such as Euclid. Among these models, we find that a halo-model corrected fitting formula achieves the best overall performance.}

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Bispectrum as baryon acoustic oscillation interferometer

Cited by 13 publications

References 92 publications

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations

Modelling the matter bispectrum at small scales in modified gravity

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