Testing the 4-Point Correlation Function as a Probe of Parity Violation with the Quijote-Odd Simulations

@misc{leonard2026testing,
  title = {{Testing the 4-Point Correlation Function as a Probe of Parity Violation with the Quijote-Odd Simulations}},
  author = {William Ortolá Leonard and Zachary Slepian and Alex Krolewski and Simon May},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18707},
  eprint = {2610.18707},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18707},
}

TY  - UNPB
TI  - Testing the 4-Point Correlation Function as a Probe of Parity Violation with the Quijote-Odd Simulations
AU  - William Ortolá Leonard
AU  - Zachary Slepian
AU  - Alex Krolewski
AU  - Simon May
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18707
UR  - https://arxiv.org/abs/2610.18707
AB  - We investigate parity violation searches with the 4-Point Correlation Function (4PCF) using the Quijote and Quijote-Odd halo catalogs. Specifically, we explore the auto- and cross-correlation searching methodologies that have been previously used in the Baryon Oscillation Spectroscopic Survey (BOSS) and the Dark Energy Spectroscopic Instrument (DESI) searches. Although the Quijote-Odd simulations are initialized with a parity-violating primordial trispectrum, we find no statistically detectable parity-odd signal in the halo 4PCF. Instead, we find that the halo measurements are dominated by Poisson noise. We are able to distinguish this noise-dominated behavior from the response expected for a parity-odd signal. These results clarify how parity-sensitive 4PCF statistics respond to noise in a controlled simulation setting.
ER  -