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.
Enhancing Taiji's Parameter Estimation under Non-Stationarity: a Time-Frequency Domain Framework for Galactic Binaries and Instrumental Noises
Center for Gravitational Wave Experiment, National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences（中国科学院力学研究所微重力实验室引力波实验中心）；Taiji Laboratory for Gravitational Wave Universe (Beijing/Hangzhou), University of Chinese Academy of Sciences (UCAS)（中国科学院大学太极引力波宇宙实验室（北京/杭州））；Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province, Hangzhou Institute for Advanced Study, UCAS（浙江省引力波精密测量重点实验室杭州高等研究院）；Lanzhou Center of Theoretical Physics, Lanzhou University（兰州大学理论物理中心）
Black hole photon ring beyond General Relativity: an integrable parametrization
Arnold Sommerfeld Center for Theoretical Physics（阿诺德·索末菲理论物理中心）；Munich Center for Quantum Sciences and Technology（慕尼黑量子科学与技术中心）；Université de Lyon, ENS de Lyon, Laboratoire de Physique, CNRS UMR 5672（里昂大学，巴黎高等师范学院里昂分校，物理实验室，法国国家科学研究中心）；LUX, CNRS UMR 8262, Observatoire de Paris - PSL, Sorbonne Université Paris（卢克瑟姆天文台，法国国家科学研究中心，巴黎天文台-巴黎文理研究大学，索邦巴黎大学）；Laboratoire de Mathématiques de Bretagne Atlantique, CNRS UMR 6205, Université de Bretagne Occidental（布列塔尼大西洋数学实验室，法国国家科学研究中心，布列塔尼西部大学）
