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A Finely-Binned Measurement of the Connected Even-Parity Galaxy 4-Point Correlation Function of DESI Year 1 Luminous Red Galaxies

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Abstract

We present the connected even-parity galaxy 4-Point Correlation Function (4PCF) of DESI Year 1 (Y1) Luminous Red Galaxies (LRGs). This is one of the first measurements of the connected 4PCF on data, and shows a clear detection at ∼12 to 17σ in the full-sky analysis. We test the robustness of the signal by varying three factors: hemisphere (north vs. south), redshift range (either the full range 0.4 < z < 1.1 or the higher-number-density interval 0.4 < z < 0.8), and sample completeness (the full sample vs. only the most complete regions within the number density-motivated cut). Finally, we cross-correlate different patches that are spatially well-separated, and thus should have largely independent noise. This approach, at leading order, is able to remove mismatch between the covariance matrix of the data and that of the mocks; however, in certain cases at the cost of sensitivity. We find ∼15σ evidence for an even-parity 4PCF in this approach. Overall, the studies of the 4PCF presented here probe sensitively any mismatch between mock catalogs and data, and also open up the prospect of fitting a model, constraining cosmological parameters and galaxy biases, and searching for Baryon Acoustic Oscillation (BAO) features.

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BibTeX
@misc{leonard2026finelybinned,
  title = {{A Finely-Binned Measurement of the Connected Even-Parity Galaxy 4-Point Correlation Function of DESI Year 1 Luminous Red Galaxies}},
  author = {William Ortolá Leonard and Alex Krolewski and Zachary Slepian and Alessandro Greco and Simon May and J Aguilar and S Ahlen and O Alves and A Aviles and F Beutler and D Bianchi and D Brooks and A Carnero Rosell and T Claybaugh and A de la Macorra and Biprateep Dey and S Ferraro and J.E Forero-Romero and E Gaztañaga and Satya Gontcho A. Gontcho and G Gutierrez and K Honscheid and D Huterer and M Ishak and S Juneau and T Karim and R Kehoe and D Kirkby and O Lahav and M Landriau and L Le Guillou and M Manera and A Meisner and R Miquel and J.A Newman and E Paillas and W.J Percival and F Prada and I Pérez-Ràfols and C Ravoux and R Ruggeri and L Samushia and E Sanchez and C Saulder and D Schlegel and J.H Silber and M Siudek and G Tarlé and B.A Weaver},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09340},
  eprint = {2609.09340},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05758206v1},
}
RIS
TY  - UNPB
TI  - A Finely-Binned Measurement of the Connected Even-Parity Galaxy 4-Point Correlation Function of DESI Year 1 Luminous Red Galaxies
AU  - William Ortolá Leonard
AU  - Alex Krolewski
AU  - Zachary Slepian
AU  - Alessandro Greco
AU  - Simon May
AU  - J Aguilar
AU  - S Ahlen
AU  - O Alves
AU  - A Aviles
AU  - F Beutler
AU  - D Bianchi
AU  - D Brooks
AU  - A Carnero Rosell
AU  - T Claybaugh
AU  - A de la Macorra
AU  - Biprateep Dey
AU  - S Ferraro
AU  - J.E Forero-Romero
AU  - E Gaztañaga
AU  - Satya Gontcho A. Gontcho
AU  - G Gutierrez
AU  - K Honscheid
AU  - D Huterer
AU  - M Ishak
AU  - S Juneau
AU  - T Karim
AU  - R Kehoe
AU  - D Kirkby
AU  - O Lahav
AU  - M Landriau
AU  - L Le Guillou
AU  - M Manera
AU  - A Meisner
AU  - R Miquel
AU  - J.A Newman
AU  - E Paillas
AU  - W.J Percival
AU  - F Prada
AU  - I Pérez-Ràfols
AU  - C Ravoux
AU  - R Ruggeri
AU  - L Samushia
AU  - E Sanchez
AU  - C Saulder
AU  - D Schlegel
AU  - J.H Silber
AU  - M Siudek
AU  - G Tarlé
AU  - B.A Weaver
PY  - 2026
DA  - 2026/09/08
PB  - HAL
DO  - 10.48550/arxiv.2609.09340
UR  - https://hal.science/hal-05758206v1
AB  - We present the connected even-parity galaxy 4-Point Correlation Function (4PCF) of DESI Year 1 (Y1) Luminous Red Galaxies (LRGs). This is one of the first measurements of the connected 4PCF on data, and shows a clear detection at ∼12 to 17σ in the full-sky analysis. We test the robustness of the signal by varying three factors: hemisphere (north vs. south), redshift range (either the full range 0.4 < z < 1.1 or the higher-number-density interval 0.4 < z < 0.8), and sample completeness (the full sample vs. only the most complete regions within the number density-motivated cut). Finally, we cross-correlate different patches that are spatially well-separated, and thus should have largely independent noise. This approach, at leading order, is able to remove mismatch between the covariance matrix of the data and that of the mocks; however, in certain cases at the cost of sensitivity. We find ∼15σ evidence for an even-parity 4PCF in this approach. Overall, the studies of the 4PCF presented here probe sensitively any mismatch between mock catalogs and data, and also open up the prospect of fitting a model, constraining cosmological parameters and galaxy biases, and searching for Baryon Acoustic Oscillation (BAO) features.
ER  -