宇宙学宇称破坏的三点相关函数二维检验
A Two-Dimensional Test of Cosmological Parity Violation with the 3-Point Correlation Function
查看机构详情
- University of Florida（佛罗里达大学）
机构由 AI 辅助整理，请以论文原文为准。
浏览论文内容
中文总结 AI 辅助
本文提出一种基于二维球壳三角形旋向性的奇宇称三点相关函数估计量，用于检验宇宙学宇称破坏，并可作为四点相关函数测量的互补与交叉验证。
中文摘要 AI 辅助
近期，对宇宙大尺度结构中宇称破坏（PV）的搜寻已利用星系四点相关函数（4PCF）的奇宇称模式开展。在此，我们引入一种对PV敏感的三点相关函数（3PCF）新估计量。该构造利用了二维球壳上形成的三角形的旋向性，其中镜像构型无法通过壳面内的适当旋转相关联。通过将定向面积向量与外部定义的壳法向量点乘，我们获得了对PV的敏感性。我们给出了该统计量的离散估计量，并展示了如何校正巡天几何效应。这种奇宇称3PCF为星系巡天中的PV提供了互补性检验，并可作为PV 4PCF测量的潜在交叉验证手段。
英文摘要
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.
