We use a recently introduced statistic called {\em Integrated Bispectrum} (IB) to probe the gravity-induced non-Gaussianity at the level of the bispectrum from weak lensing convergence or $\kappa$ maps. We generalize the concept of the IB to spherical coordinates. This result is next connected to the response function approach. Finally, we use the Euclid Flagship simulations to compute the IB as a function of redshift and wave number. We also outline how the IB can be computed using a variety of analytical approaches including the ones based on Effective Field Theory (EFT), {\em Halo models} and models based on the {\em Separate Universe approach} in projection or two-dimension (2D). Comparing these results against simulations we find that the existing theoretical models tend to over-predict the numerical value of the IB. We emphasize the role of the finite volume effect in the numerical estimation of the IB. We introduced the concept of squeezed and collapsed tripsectrum for 2D $\kappa$ maps. We derive the IB for many parameterized theories of modified gravity including the Horndeskii and beyond-Horndeskii theories specifically for the non-degenerate scenarios that are also known as the Gleyzes-Langlois-Piazza-Venizzi or GPLV theories. In addition, the cosmological models with clustering quintessence and models involving massive neutrinos are also derived.

中文翻译：

---

从弱透镜图估计综合双谱

我们使用最近引入的称为 {\em Integrated Bispectrum} (IB) 的统计量从弱透镜收敛或 $\kappa$ 地图在双谱级别探测重力引起的非高斯性。我们将 IB 的概念推广到球坐标。这个结果接下来与响应函数方法有关。最后，我们使用 Euclid Flagship 模拟来计算作为红移和波数函数的 IB。我们还概述了如何使用各种分析方法计算 IB，包括基于有效场理论 (EFT)、{\em Halo 模型} 和基于 {\em 分离宇宙方法} 的模型在投影或两个-维度 (2D)。将这些结果与模拟进行比较，我们发现现有的理论模型倾向于高估 IB 的数值。我们强调有限体积效应在 IB 的数值估计中的作用。我们为 2D $\kappa$ 地图引入了压缩和折叠tripsectrum的概念。我们推导出了许多修正引力参数化理论的 IB，包括 Horndeskii 和超越 Horndeskii 理论，专门用于非退化场景，也称为 Gleyzes-Langlois-Piazza-Venizzi 或 GPLV 理论。此外，还推导出了具有聚类精髓的宇宙学模型和涉及大量中微子的模型。我们推导出了许多修正引力参数化理论的 IB，包括 Horndeskii 和超越 Horndeskii 理论，专门用于非退化场景，也称为 Gleyzes-Langlois-Piazza-Venizzi 或 GPLV 理论。此外，还推导出了具有聚类精髓的宇宙学模型和涉及大量中微子的模型。我们推导出了许多修正引力参数化理论的 IB，包括 Horndeskii 和超越 Horndeskii 理论，专门用于非退化场景，也称为 Gleyzes-Langlois-Piazza-Venizzi 或 GPLV 理论。此外，还推导出了具有聚类精髓的宇宙学模型和涉及大量中微子的模型。