标题： 利用非线性记忆增强引力波参数估计：打破距离-倾斜度退化 显示英文标题

标题： Enhancing Gravitational Wave Parameter Estimation with Non-Linear Memory: Breaking the Distance-Inclination Degeneracy

摘要： 在本研究中，我们探讨了非线性记忆效应在引力波（GW）参数估计中的作用，特别是我们探索了其在二元合并事件中解消光度距离与倾斜角之间的退化关系的能力。 鉴于引力波探测的迅速增长以及引力波观测站灵敏度的提高，提升宇宙学和天体物理测量的精度至关重要。 我们提出利用非线性记忆效应——一种源自发出的引力波累积影响的微妙且持久的GW信号特征——作为一种新方法来提高参数估计的准确性。 通过一系列全面的注入研究，涵盖简化的和完整的参数空间，我们评估了非线性记忆在对齐自旋系统各种情况下的有效性。 我们的研究结果表明，非线性记忆在解决倾斜-距离退化方面具有显著潜力，特别是在当前一代探测器的高信噪比事件（SNR$>$90）或在未来探测器灵敏度背景下（如计划中的LIGO A$^\sharp$升级）距离小于1 Gpc的情况下。 结果还表明，从参数估计中排除非线性记忆可能会在未来的LIGO A$^\sharp$探测中引入显著的系统误差。 这一观察结果对于下一代探测器来说将更加重要，突显了在引力波模型中包含非线性记忆的重要性，以实现引力波（GW）天文学的高精度测量。 显示英文摘要

摘要： In this study, we investigate the role of the non-linear memory effect in gravitational wave (GW) parameter estimation, particularly we explore its capability to break the degeneracy between luminosity distance and inclination angle in binary coalescence events. Motivated by the rapid growth in GW detections and the increasing sensitivity of GW observatories enhancing the precision of cosmological and astrophysical measurements is crucial. We propose leveraging the non-linear memory effect -- a subtle, persistent feature in the GW signal resulting from the cumulative impact of emitted gravitational waves -- as a novel approach to enhance parameter estimation accuracy. Through a comprehensive series of injection studies, encompassing both reduced and full parameter spaces, we evaluate the effectiveness of non-linear memory in various scenarios for aligned-spin systems. Our findings demonstrate the significant potential of non-linear memory in resolving the inclination-distance degeneracy, particularly for events with high signal-to-noise ratios (SNR $>$ 90) for the current generation of detectors or closer than 1 Gpc in the context of future detector sensitivities such as the planned LIGO A$^\sharp$ upgrade. The results also suggest that excluding non-linear memory from parameter estimation could introduce significant systematics in future LIGO A$^\sharp$ detections. This observation will hold even greater weight for next-generation detectors, highlighting the importance of including non-linear memory in GW models for achieving high-accuracy measurements for gravitational wave (GW) astronomy.