剪切三点相关函数的快速建模
Fast modeling of the shear three-point correlation function
AI总结：
本文提出基于双谱多极展开的剪切三点相关函数快速计算方法，可在单/四红移 bin 下以 5% 精度分别于 10/40 秒完成计算，并支持三阶孔径质量统计，为弱透镜三阶统计宇宙学分析提供高效工具。
摘要：
弱透镜剪切场的三点相关函数（3PCF）包含与两点相关函数（2PCF）互补的信息，有助于改进宇宙学参数并校准天体物理和观测系统误差参数。然而，由于从双谱模型计算三点相关函数理论预测面临计算挑战，三点相关函数在观测数据中的应用一直受到限制。本文提出了一种高效且精确计算剪切三点相关函数的新方法。我们采用双谱的多极展开来计算剪切三点相关函数，并证明该方法比直接数值积分显著更高效。我们发现，基于多极展开的方法在单源红移 bin 设置下可在 10 秒内以 5% 的精度计算剪切三点相关函数，在四源红移 bin 设置下可在 40 秒内达到同样精度。基于多极展开的方法还可用于快速且准确地计算三阶孔径质量统计量，同时考虑剪切三点相关函数上的 bin 平均效应。我们的方法为利用弱透镜剪切三阶统计量探测潜在宇宙学模型提供了一种快速且稳健的工具。
英文摘要：
The three-point correlation function (3PCF) of a weak lensing shear field contains information that is complementary to that in the two-point correlation function (2PCF), which can help improve the cosmological parameters and calibrate astrophysical and observational systematics parameters. However, the application of the 3PCF to observed data has been limited due to the computational challenges of calculating theoretical predictions of the 3PCF from a bispectrum model. In this paper, we present a new method to compute the shear 3PCF efficiently and accurately. We employ the multipole expansion of the bispectrum to compute the shear 3PCF, and show that the method is substantially more efficient than direct numerical integration. We found that the multipole-based method can compute the shear 3PCF with 5% accuracy in 10 (40) seconds for the single (four) source redshift bin setup. The multipole-based method can be also used to compute the third-order aperture mass statistics quickly and accurately, accounting for the bin-averaging effect on the shear 3PCF. Our method provides a fast and robust tool for probing the underlying cosmological model with third-order statistics of weak lensing shear.
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