Integrated trispectrum detection from BOSS DR12 NGC CMASS
  We present the first detection of the integrated trispectrum
($\mathit{i}$-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 $k_\mathrm{min}=0.03\,h/\mathrm{Mpc}$ to maximum
$k_\mathrm{min}=0.15\,h/\mathrm{Mpc}$, 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.
