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PreprintarXiv licencearXiv

A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function

  • William Ortolá Leonard
  • Zachary Slepian
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Abstract

Searches for parity violation (PV) in the Universe's large-scale structure have recently been carried out using parity-odd modes of the galaxy 4-Point Correlation Function (4PCF). Here, we introduce a new estimator for a 3-Point Correlation Function (3PCF) that is sensitive to PV. The construction exploits the handedness of triangles formed on 2D spherical shells, where mirror-image configurations cannot be related by proper rotations within the surface. By dotting the oriented area vector with an externally-defined normal vector to the shell, we obtain sensitivity to PV. We present a discrete estimator for this statistic and also show how to correct for the survey geometry. This parity-odd 3PCF provides a complementary test of PV in galaxy surveys and a potential cross-check of PV 4PCF measurements.

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Cite

BibTeXRIS
BibTeX
@misc{leonard2026twodimensional,
  title = {{A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function}},
  author = {William Ortolá Leonard and Zachary Slepian},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09106},
  eprint = {2609.09106},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09106},
}
RIS
TY  - UNPB
TI  - A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function
AU  - William Ortolá Leonard
AU  - Zachary Slepian
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.09106
UR  - https://arxiv.org/abs/2609.09106
AB  - Searches for parity violation (PV) in the Universe's large-scale structure have recently been carried out using parity-odd modes of the galaxy 4-Point Correlation Function (4PCF). Here, we introduce a new estimator for a 3-Point Correlation Function (3PCF) that is sensitive to PV. The construction exploits the handedness of triangles formed on 2D spherical shells, where mirror-image configurations cannot be related by proper rotations within the surface. By dotting the oriented area vector with an externally-defined normal vector to the shell, we obtain sensitivity to PV. We present a discrete estimator for this statistic and also show how to correct for the survey geometry. This parity-odd 3PCF provides a complementary test of PV in galaxy surveys and a potential cross-check of PV 4PCF measurements.
ER  -