The Anisotropic Line Correlation Function as a Probe of Anisotropies in Galaxy Surveys

Understand

We propose an anisotropic generalisation of the line correlation function (ALCF) to separate and quantify phase information in the large-scale structure of galaxies.

• The line correlation function probes the strictly non-linear regime of structure formation and since phase information drops out of the power spectrum, the line correlation function provides a complementary tool to commonly used techniques based on two-point statistics.
• Furthermore, it is independent of linear bias as well as the Gaussian variance on the modulus of the density field and thus may also prove to be advantageous compared to the bispectrum or similar higher-order statistics for certain cases.
• For future applications it is vital, though, to be able to account for observational effects that cause anisotropies in the distribution of galaxies.