One-Point Statistics Matter in Extended Cosmologies

The late universe contains a wealth of information about fundamental physics and gravity, wrapped up in non-Gaussian fields. To make use as much possible it is necessary to go beyond two-point statistics. Rather than going higher order N-point correlation functions, we demonstrate that the probability distribution function (PDF) spheres matter field (a one-point function) already significant amount this information. PDF dissects different density environments which are lumped together statistics, making particularly useful for probing modifications gravity or expansion history. Our approach Cataneo et. al. 2021 extends success Large Deviation Theory predicting $\Lambda$CDM these ''extended'' cosmologies. A Fisher forecast demonstrates content via constraints Euclid-like survey volume combining 3D with power spectrum. Adding halves uncertainties on parameters an evolving dark energy model, relative spectrum alone. Additionally, enough non-linear substantially increase detection significance departures from General Relativity, improvements six times This analysis promising statistic extracting cosmological information, models.