Integrated trispectrum detection from BOSS DR12 NGC CMASS

Abstract

We present the first detection of the integrated trispectrum ($i$-trispectrum) monopole and quadrupoles signal from BOSS CMASS NGC DR12. Extending the FKP estimators formalism to the Fourier transform of the four-point correlation function, we test shot-noise subtraction, Gaussianity of the i-trispectrum data-vector, significance of the detection and similarity between the signal from the data and from the galaxy mock catalogues used to numerically estimate the covariance matrix. Using scales corresponding to modes from minimum $k_{\min }=0.03h/\mathrm{Mpc}$ to maximum $k_{\min }=0.15h/\mathrm{Mpc}$, we find a detection in terms of distance from the null hypothesis of $(10.4,5.2,8.3,1.1,3.1)$ $\sigma$-intervals for the i-trispectrum monopole and quadrupoles respectively. This quantifies the presence of the physical signal of the four-points statistics on BOSS data. For completeness the same analysis is also performed for power spectrum and bispectrum, both monopoles and quadrupoles.

17 pages plus appendix, 11 figures, matching published version on JCAP

References in corpus (13)

• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• Information Content of the Angular Multipoles of Redshift-Space Galaxy Bispectrum
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• The trispectrum of 21-cm background anisotropies as a probe of primordial non-Gaussianity
• Quantifying lost information due to covariance matrix estimation in parameter inference
• The Covariance of Squeezed Bispectrum Configurations
• Information Content of Higher-Order Galaxy Correlation Functions
• The CMB Bispectrum, Trispectrum, non-Gaussianity, and the Cramer-Rao Bound
• The squeezed matter bispectrum covariance with responses
• Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data

Cited by in corpus (4)

• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Consistency tests of field level inference with the EFT likelihood
• Cosmological Information in Skew Spectra of Biased Tracers in Redshift Space
• Modal compression of the redshift-space galaxy bispectrum