A density-density-momentum bispectrum carries a clean, isolatable parity-violating signal from inflation, with a Fisher forecast reaching sigma(pNL) ~ 10^4.
Hou et al.,Parity-odd Four-Point Correlation Function from DESI Data Release 1 Luminous Red Galaxy Sample,2512.20132
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
The parity-odd four-point function provides a unique probe of fundamental symmetries and potential new physics in the large-scale structure of the Universe. We present measurements of the parity-odd four-point function using the DESI DR1 LRG sample and assess its detection significance. Our analysis considers both auto- and cross-correlations, using two complementary approaches to the covariance: (i) the full analytic covariance matrix applied to the uncompressed data vector, and (ii) a compressed data vector combined with a hybrid covariance matrix constructed from simulations and analytic estimates. When using the full analytic covariance matrix without corrections, we observe apparent auto-correlation signals with significance up to $4\sigma$. However, this excess is also consistent with a mismatch between the statistical fluctuations estimated from the simulations and those present in the real data. Our findings therefore suggest that the parity-odd signal in the current DESI DR1 LRG sample is consistent with zero. We note, however, that the low completeness of this sample may have a non-negligible impact on the detection sensitivity. Future data releases with improved completeness will be crucial for further investigation.
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astro-ph.CO 6years
2026 6representative citing papers
A parity-odd 3PCF estimator on 2D spherical shells is introduced as a new test of parity violation in galaxy surveys.
No evidence for cosmological parity violation is found in the first kurto-spectrum analysis of BOSS DR12 and DESI DR1 luminous red galaxies.
A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.
The parity-odd halo 4PCF in Quijote-Odd shows no detectable signal despite an injected parity-violating trispectrum, and the paper's noise characterization explains why apparent detections can be spurious.
Optimized halo selection by mass and local density increases detection sensitivity to primordial parity violation in N-body simulations of halo spins compared to the full sample.
citing papers explorer
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Boosted Odds: Lower-Point Probes of Parity Violation with Momentum Fields
A density-density-momentum bispectrum carries a clean, isolatable parity-violating signal from inflation, with a Fisher forecast reaching sigma(pNL) ~ 10^4.
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A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function
A parity-odd 3PCF estimator on 2D spherical shells is introduced as a new test of parity violation in galaxy surveys.
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Testing parity with composite-field spectra of BOSS and DESI luminous red galaxies
No evidence for cosmological parity violation is found in the first kurto-spectrum analysis of BOSS DR12 and DESI DR1 luminous red galaxies.
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Probing Parity Violation with Weak Lensing Trispectrum
A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.
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Testing the 4-Point Correlation Function as a Probe of Parity Violation with the Quijote-Odd Simulations
The parity-odd halo 4PCF in Quijote-Odd shows no detectable signal despite an injected parity-violating trispectrum, and the paper's noise characterization explains why apparent detections can be spurious.
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Enhancing the Detection Sensitivity of Primordial Parity Violation using Galaxy Spins
Optimized halo selection by mass and local density increases detection sensitivity to primordial parity violation in N-body simulations of halo spins compared to the full sample.