标题： 各向异性随机引力波背景的统一测绘 显示英文标题

标题： Unified Mapmaking for Anisotropic Stochastic Gravitational Wave Background

摘要： 由未解析的天体物理源信号叠加产生的随机引力波背景（SGWB），可能在近几年内被探测到。 关于背景中各向异性的可能性质，已有多种理论预测。 因此，估计和绘制天空中的强度图可能在改善我们对天体物理模型的理解方面起到关键作用。 已经为先进地面干涉探测器的所有数据采集运行生成了像素和球谐基下的天空图。 虽然这些图是使用相似的算法生成的，但其背后的代数和数值实现仍然不同。 这就是为什么需要在两种基下生成结果的原因。 我们表明，这些明显冗余的方法在实践中可以统一为一种分析。 我们首先开发代数以证明，在两种不同基下的结果、地图和噪声协方差矩阵可以轻松转换。 然后，我们将这两种方案纳入现在标准的各向异性SGWB分析流程Pystoch中。 然后我们展示了像素和球谐基下的转换结果非常吻合。 因此得出结论，一个单一的天空图就足以描述随机背景中的各向异性。 Pystoch的多种功能将有助于估计各种指标来表征各向异性背景。 显示英文摘要

摘要： A stochastic gravitational wave background (SGWB), created by the superposition of signals from unresolved astrophysical sources, may be detected in the next few years. Several theoretical predictions are being made about the possible nature of anisotropies in the background. Estimating and mapping the intensity across the sky can therefore play a key role in improving our understanding of astrophysical models. Skymaps have been produced in the pixel and spherical harmonic basis for all the data taking runs of the advanced ground-based interferometric detectors. While these maps are being produced with similar algorithms, the underlying algebra and numerical implementations remain different. Which is why there was a need for producing results in both bases. We show that these manifestly redundant methods could be unified to a single analysis in practice as well. We first develop the algebra to show that the results, maps, and noise covariance matrices, in two different bases are easily transformable. We then incorporate both schemes, in the now standard analysis pipeline for anisotropic SGWB, PyStoch. We then show that the transformed results in the pixel and spherical harmonic bases match very well. Thus concluding that a single skymap will be sufficient to describe the anisotropies in a stochastic background. The multiple capabilities of PyStoch will be useful for estimating various measures to characterise an anisotropic background.