Parity violation in the observed galaxy trispectrum

• DOI: 10.48550/arxiv.2402.16478
• Publication Date: 2024-02-26
• Authors: Pritha Paul; Chris Clarkson; Roy Maartens
• Keywords: Trispectrum; Parity (physics)

Recent measurements of the 4-point correlation function in large-scale galaxy surveys have found apparent evidence parity violation distribution galaxies. This cannot happen via dynamical gravitational effects general relativity. If such a arose from physics early Universe it could indicate important new beyond standard model, and would be at odds with most models inflation. It is therefore now timely to consider trispectrum more detail. While intrinsic function, or equivalently trispectrum, its Fourier counterpart, invariant, observed must take redshift-space distortions into account. Although Newtonian correction also respects invariance, we show that sub-leading relativistic corrections do not. We demonstrate these can significant intermediate linear scales are dominant over parity-invariant part around equality scale above. Therefore when observing should expect detect on large scales.