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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…

We present an $8.1\sigma$ detection of the non-Gaussian 4-Point Correlation Function (4PCF) using a sample of $N_{\rm g} \approx 8\times 10^5$ galaxies from the BOSS CMASS dataset. Our measurement uses the $\mathcal{O}(N_{\rm g}^2)$ NPCF…

宇宙学与河外天体物理 · 物理学 2021-08-05 Oliver H. E. Philcox , Jiamin Hou , Zachary Slepian

The field of cosmology is entering an epoch of unparalleled wealth of observational data thanks to galaxy surveys such as DESI, Euclid, and Roman. Therefore, it is essential to have a firm theoretical basis that allows the effective…

宇宙学与河外天体物理 · 物理学 2025-02-03 William Ortolá Leonard , Zachary Slepian , Jiamin Hou

We show that the galaxy 4-Point Correlation Function (4PCF) can test for cosmological parity violation. The detection of cosmological parity violation would reflect previously unknown forces present at the earliest moments of the Universe.…

宇宙学与河外天体物理 · 物理学 2021-10-26 Robert N. Cahn , Zachary Slepian , Jiamin Hou

A tetrahedron is the simplest shape that cannot be rotated into its mirror image in 3D. The 4-Point Correlation Function (4PCF), which quantifies excess clustering of quartets of galaxies over random, is the lowest-order statistic sensitive…

宇宙学与河外天体物理 · 物理学 2025-05-27 Jiamin Hou , Zachary Slepian , Robert N. Cahn

Detection of parity violation on cosmological scales would have profound implications for fundamental physics. Motivated in part by recent measurements of parity-odd four-point correlation functions in BOSS and DESI luminous red galaxy…

宇宙学与河外天体物理 · 物理学 2026-04-08 Zucheng Gao , Marina S. Cagliari , Azadeh Moradinezhad Dizgah , Zvonimir Vlah

Parity-violating physics in the early Universe can leave detectable traces in late-time observables. Whilst vector- and tensor-type parity-violation can be observed in the $B$-modes of the cosmic microwave background, scalar-type signatures…

宇宙学与河外天体物理 · 物理学 2023-03-17 Oliver H. E. Philcox

Starting with the density field equation of a self-gravity fluid in a static Universe, using the Schwinger functional differentiation technique, we derive the field equation of the 4-point correlation function (4PCF) of galaxies in the…

星系天体物理 · 物理学 2024-06-11 Yang Zhang , Shu-Guang Wu

Analytical templates for the covariance matrix of the 4-Point Correlation Function (4PCF) have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the first non-Gaussian calculation of the 4PCF…

宇宙学与河外天体物理 · 物理学 2025-09-09 William Ortolá Leonard , Zachary Slepian

Analytical templates for the 4-Point Correlation Function (4PCF) covariance matrix have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the second part of the beyond GRF calculation of the 4PCF…

宇宙学与河外天体物理 · 物理学 2025-09-09 William Ortolá Leonard , Zachary Slepian

We present new measurements of the redshift-space three-point correlation function (3PCF) of Luminous Red Galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS). Using the largest dataset to date, the Data Release 7 (DR7) LRGs, and an…

宇宙学与河外天体物理 · 物理学 2015-05-20 Felipe Marin

In a recent study, we developed a method to model the impact of photometric redshift uncertainty on the two-point correlation function (2PCF). In this method, we can obtain both the intrinsic clustering strength and the photometric redshift…

星系天体物理 · 物理学 2021-06-29 Zhaoyu Wang , Haojie Xu , Xiaohu Yang , Yipeng Jing , Kai Wang , Hong Guo , Fuyu Dong , Min He

Recent searches for parity breaking in the galaxy four-point correlation function, as well as the prospects for greatly improved sensitivity to parity breaking in forthcoming surveys, motivate the search for physical mechanisms that could…

宇宙学与河外天体物理 · 物理学 2025-02-07 Keisuke Inomata , Leah Jenks , Marc Kamionkowski

Most statistical inference from cosmic large-scale structure relies on two-point statistics, i.e.\ on the galaxy-galaxy correlation function (2PCF) or the power spectrum. These statistics capture the full information encoded in the Fourier…

宇宙学与河外天体物理 · 物理学 2023-06-09 Kamran Ali , Danail Obreschkow , Cullan Howlett , Camille Bonvin , Claudio Llinares , Felipe Oliveira Franco , Chris Power

A photometric redshift sample of Luminous Red Galaxies (hereafter LRGs) obtained from The DECam Legacy Survey (DECaLS) is analysed to probe cosmic distances by exploiting the wedge approach of the two-point correlation function. Although…

We derive analytic covariance matrices for the $N$-Point Correlation Functions (NPCFs) of galaxies in the Gaussian limit. Our results are given for arbitrary $N$ and projected onto the isotropic basis functions of Cahn & Slepian (2020),…

宇宙学与河外天体物理 · 物理学 2022-08-31 Jiamin Hou , Robert N. Cahn , Oliver H. E. Philcox , Zachary Slepian

We report the measurement of the three-point correlation function (3PCF) of galaxies for the Las Campanas Redshift Survey (LCRS). We have not only measured the 3PCF in redshift space but also developed a method to measure the projected 3PCF…

天体物理学 · 物理学 2009-10-30 Y. P. Jing , G. Boerner
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