AI 中文总结
研究利用GWTC - 4目录，比较两种偏心波形模型及准圆形波形分析，发现多数事件两种偏心模型源参数估计大致一致，但小偏差会累积影响总体推断，还引入合成数据框架用于测试偏心总体属性可恢复性。
AI 中文摘要
虽然质量和自旋通常用于约束致密双星形成通道，但偏心率为双星起源提供了额外且可能强大的诊断，特别是对于动态组装系统。偏心波形建模的最新进展使在引力波数据中搜索偏心特征成为可能，但波形模型之间的差异会引入可能传播到天体物理总体推断中的系统效应。在这项工作中，我们分析了GWTC - 4目录中的153个双黑洞、2个双中子星和7个中子星 - 黑洞双星。我们比较了使用两种偏心波形模型SEOBNRv5EHM和TEOBResumS - DALI以及准圆形波形分析获得的源和总体水平推断。我们发现，对于大多数事件，这两种偏心模型给出的源参数估计大致一致，但有些事件表现出细微且连贯的差异。这些小的系统偏差会在分层总体推断中累积，导致推断的总体属性出现差异，最明显的是在红移演化和有效自旋分布方面。由于对于N个事件的目录，连贯的事件级偏差大约会以$\sqrt{N}$的速度增长，随着引力波目录的扩展，波形系统误差变得越来越重要。我们还引入了一个合成数据框架，该框架生成偏心总体和相应的RIFT后验样本，从而能够进行注入研究以测试偏心总体属性的可恢复性。
英文摘要
While masses and spins are routinely used to constrain compact binary formation channels, eccentricity provides an additional and potentially powerful diagnostic of binary origin, particularly for dynamically assembled systems. Recent advances in eccentric waveform modeling now make it possible to search for eccentric signatures in gravitational wave data; however, differences between waveform models can introduce systematic effects that may propagate into astrophysical population inference. In this work, we analyze 153 binary black holes, 2 binary neutron stars and 7 neutron star black hole binaries from the GWTC-4 catalog. We compare the source and population level inferences obtained with two eccentric waveform models, SEOBNRv5EHM and TEOBResumS-DALI, as well as with quasi circular waveform analyses. We find that the two eccentric models give broadly consistent source parameter estimates for most events, but some events exhibit subtle and coherent differences. These small, systematic offsets can accumulate in hierarchical population inference, leading to differences in inferred population properties, most notably in the redshift evolution and effective spin distribution. Because coherent event level biases can grow approximately as $\sqrt{N}$ for a catalog of N events, waveform systematics become increasingly important as gravitational wave catalogs expand. We also introduce a synthetic data framework that generates eccentric populations and corresponding RIFT posterior samples, enabling injection studies that test the recoverability of eccentric population properties.
