Future Constraints on Angle-Dependent Non-Gaussianity from Large Radio Surveys

TL;DR

This paper forecasts how future large radio surveys can measure various shapes of primordial non-Gaussianity, especially angle-dependent types, potentially surpassing current CMB constraints and informing models of the early universe.

Contribution

It provides detailed forecasts for measuring angle-dependent non-Gaussianity using large-scale structure surveys, highlighting the importance of redshift information and future survey capabilities.

Findings

Radio surveys can improve constraints on non-Gaussianity beyond current CMB limits.

Redshift information significantly enhances measurement precision.

Futuristic models could constrain angle-dependent coefficients to very low levels.

Abstract

We investigate how well future large-scale radio surveys could measure different shapes of primordial non-Gaussianity; in particular we focus on angle-dependent non-Gaussianity arising from primordial anisotropic sources, whose bispectrum has an angle dependence between the three wavevectors that is characterized by Legendre polynomials $\mathcal{P}_L$ and expansion coefficients $c_L$. We provide forecasts for measurements of galaxy power spectrum, finding that Large-Scale Structure (LSS) data could allow measurements of primordial non-Gaussianity competitive or improving upon current constraints set by CMB experiments, for all the shapes considered. We argue that the best constraints will come from the possibility to assign redshift information to radio galaxy surveys, and investigate a few possible scenarios for the EMU and SKA surveys. A realistic (futuristic) modeling could provide constraints of $f_{\rm NL}^{\rm loc} \approx 1 (0.5)$ for the local shape, $f_{\rm NL}$ of $\mathcal{O}(10) (\mathcal{O}(1))$ for the orthogonal, equilateral and folded shapes, and $c_{L=1} \approx 80 (2)$, $c_{L=2} \approx 400 (10)$ for angle-dependent non-Gaussianity. The more futuristic forecasts show the potential of LSS analyses to considerably improve current constraints on non-Gaussianity, and so on models of the primordial Universe. Finally, we find the minimum requirements that would be needed to reach $\sigma(c_{L=1})=10$, which can be considered as a typical (lower) value predicted by some (inflationary) models.