Determine whether the low-multipole power deficit is a genuine nonlinear effect

Determine whether the apparent reduction of nonlinear angular power spectra relative to linear-theory predictions at multipoles l less than or approximately equal to 10 in the gevolution ray-tracing simulations is a genuine physical effect rather than statistical scatter caused by cosmic variance.

Background

The paper compares angular power spectra for fluctuations in the optical expansion observable ϑ\vartheta and the weak-lensing convergence κ\kappa, obtained from linear perturbation theory and from ray tracing through a relativistic N-body simulation using gevolution. The simulated spectra agree well with linear theory at intermediate multipoles, but the authors observe substantial scatter among the 20 simulated observers at multipoles l≲10l\lesssim 10.

Because the number of observers is small, the observed suppression relative to linear theory may be attributable to cosmic variance rather than to a physical nonlinear modification. Resolving this issue requires additional observers and dedicated simulations and analyses; the result matters for interpreting large-scale deviations between nonlinear ray-tracing measurements and perturbative predictions.

References

On larger scales with l\lesssim 10, there is a large amount of scatter between the different observers, as is expected due to cosmic variance. We note that more observers seem to measure less power than predicted by the linear theory for these l. However, with only 20 observers, it is unclear if this is a genuine effect.

— The Optical Expansion Scalar in Cosmological Perturbation Theory  (2609.30108 - Oestreicher et al., 24 Sep 2026) in Section 6.2, “N-body Simulation Results”