Integrated trispectrum detection from BOSS DR12 NGC CMASS

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 de-tection 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 kmin = 0.03 h/Mpc to maximum kmax = 0.15 h/Mpc, we find a detection in terms of distance from the null hypothesis of (10.4, 5.2, 8.3, 1.1, 3.1) a-intervals for the i-trispectrum monopole T(0) and quadrupoles (T(2000), T(0200), T(0020), T(0002)) 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.

Automated summary

This study presents the first detection and quantification of the monopole and quadrupole signals of the integrated trispectrum in BOSS CMASS NGC DR12, using the Fourier transform of the four-point correlation function. The analysis confirms the presence of the physical signal in the BOSS data.