Anti-symmetric clustering signals in the observed power spectrum

Abstract

In this paper, we study how to directly measure the effect of peculiar velocities in the observed angular power spectra. We do this by constructing a new anti-symmetric estimator of Large Scale Structure using different dark matter tracers. We show that the Doppler term is the major component of our estimator and we show that we can measure it with a signalto-noise ratio up to ∼ 50 using a futuristic SKAO HI galaxy survey. We demonstrate the utility of this estimator by using it to provide constraints on the Euler equation.

Multi-wavelength spectroscopic probes: prospects for primordial non-Gaussianity and relativistic effects

“…The results are summarised in figure 5. This shows clearly that pairs (z A i , z B i+1 ) are optimal for the Doppler effect and are central to the results in [49,82]. The Doppler effect (2.7) is also more prominent at low redshifts which is broadly explained by the 1/χ in its amplitude and by the growth of the radial peculiar velocity at low z.…”

“…This contribution is mainly from the cross-tracer spectra, although at low redshift it is also marginally from cross-correlations between consecutive redshift bins of the same tracer. The latter feature is the basis of the estimator constructed in [82], which is the angular power spectrum counterpart of the Doppler dipole in the 2-point correlation function [49]. Although there is some residual information in the low-redshift BGS-BGS correlations, the bulk clearly comes from the off-diagonal, i.e.…”