Apparent parity violation in the observed galaxy trispectrum

Abstract

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

8 pages, 6 figures. v2 has minor errors corrected and additional material and figures. Version to appear in Physical Review Letters

References in corpus (43)

• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Large-Scale Galaxy Bias
• The linear power spectrum of observed source number counts
• What galaxy surveys really measure
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• New Extraction of the Cosmic Birefringence from the Planck 2018 Polarization Data
• General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Modeling the clustering and halo occupation distribution of BOSS-CMASS galaxies in the Final Data Release
• The 2dF-SDSS LRG and QSO (2SLAQ) Luminous Red Galaxy Survey
• Improved Constraints on Cosmic Birefringence from the WMAP and Planck Cosmic Microwave Background Polarization Data
• Cosmological information in the redshift-space bispectrum
• Asymmetric galaxy correlation functions
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Beyond the plane-parallel and Newtonian approach: Wide-angle redshift distortions and convergence in general relativity
• Galaxy number counts to second order and their bispectrum
• Gravitational redshift and other redshift-space distortions of the imaginary part of the power spectrum
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Parity-violating gravity and GW170817
• Probing weak force induced parity violation by high resolution mid-infrared molecular spectroscopy
• Observed galaxy number counts on the lightcone up to second order: I. Main result
• Isolating relativistic effects in large-scale structure
• Parity Violation of Gravitons in the CMB Bispectrum
• The Odd-Parity CMB Bispectrum
• Measuring Parity Violation in the Stochastic Gravitational Wave Background with the LISA-Taiji network
• Imprints of relativistic effects on the asymmetry of the halo cross-correlation function: from linear to non-linear scales
• Measuring cosmic velocities with 21cm intensity mapping and galaxy redshift survey cross-correlation dipoles
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• The dipole of the galaxy bispectrum
• Observed galaxy number counts on the lightcone up to second order: III. Magnification Bias
• Disantangling the effects of Doppler velocity and primordial non-Gaussianity in galaxy power spectra
• The relativistic dipole and gravitational redshift on LSS
• Optimised angular power spectra for spectroscopic galaxy surveys
• Detecting the relativistic galaxy bispectrum
• Detecting the relativistic bispectrum in 21cm intensity maps
• Synergies between intensity maps of hydrogen lines
• Imprints of local lightcone projection effects on the galaxy bispectrum. II
• Imprints of local lightcone projection effects on the galaxy bispectrum. III Relativistic corrections from nonlinear dynamical evolution on large-scales
• Nonlinear modulation of the HI power spectrum on ultra-large scales. I
• Multipoles of the relativistic galaxy bispectrum
• The Odd-Parity Galaxy Bispectrum
• Gravitational waves, CMB polarization, and the Hubble tension

Cited by in corpus (6)

• Anatomy of Parity-violating Trispectra in Galaxy Surveys
• Doppler bias: impact of peculiar velocities on color selection and the large scale structure of galaxy surveys
• A Match Made in Heaven: Linking Observables in Inflationary Cosmology
• Signatures of asymmetry: Gravitational wave memory and the parity violation
• The Odd-Parity Part of the Observed Galaxy Trispectrum
• Visualising relativistic effects in redshift space distortions of large scale structure