标题： 交叉相关性作为原初引力波的诊断工具 显示英文标题

标题： Cross-correlations as a Diagnostic Tool for Primordial Gravitational Waves

摘要： 我们通过计算具体的示例来探讨并证实，将随机引力波背景各向异性与CMB温度涨落进行交叉相关，作为一种确定给定引力波信号原初性质的方法的有效性。 我们考虑由标量-张量-张量原初非高斯性引起的引力波各向异性情况。 我们的分析涵盖了表现出不同角度行为的各向异性，包括四极矩依赖性。 我们计算了通过交叉相关测量得到的非线性参数$F_{\rm NL}$的预期不确定性，针对诸如地面探测器爱因斯坦望远镜、宇宙探索者以及空间探测器大爆炸观测者等提出的实验。 作为未来调查规划的基准，我们还计算了非线性参数的理论宇宙方差限制误差。 显示英文摘要

摘要： We explore and corroborate, by working out explicit examples, the effectiveness of cross-correlating stochastic gravitational wave background anisotropies with CMB temperature fluctuations as a way to establish the primordial nature of a given gravitational wave signal. We consider the case of gravitational wave anisotropies induced by scalar-tensor-tensor primordial non-Gaussianity. Our analysis spans anisotropies exhibiting different angular behaviours, including a quadrupolar dependence. We calculate the expected uncertainty on the non-linearity parameter $F_{\rm NL}$ obtained as a result of cross-correlation measurements for several proposed experiments such as the ground-based Einstein Telescope, Cosmic Explorer, and the space-based Big-Bang Observer. As a benchmark for future survey planning, we also calculate the theoretical, cosmic-variance-limited, error on the non-linearity parameter.