发表机构
Korea Astronomy and Space Science Institute; The Institute of Mathematical Sciences, HBNI; Homi Bhabha National Institute; INAF/OAS Bologna, Osservatorio di Astrofisica e Scienza dello Spazio; Department of Physics and Astronomy, Sejong University; University of Science and Technology（韩国天文学与空间科学研究所; 数学科学研究所，HBNI; 霍米·巴巴国立研究所; 意大利国家天体物理研究所/博洛尼亚天文台与空间科学观测站; 世宗大学物理与天文学系; 科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出基于反卷积的框架，利用3x2pt测量重建物质功率谱的尺度依赖性调制A(k)，通过正则化Richardson-Lucy算法，在Rubin/LSST模拟数据中恢复1%振荡并检测到2.6σ信号。
AI 中文摘要
我们提出了一种基于反卷积的框架，用于利用 $3\times2$pt 测量检验晚期物质功率谱相对于基准宇宙学模型的尺度依赖性偏离。我们引入基准非线性物质功率谱的自由形式尺度依赖性调制 $A(k)$，并构建了分箱星系聚集、星系-星系透镜和宇宙切变谱对离散化调制 $A(k)$ 的线性响应。该响应使用包含密度、红移空间畸变、引力切变和内禀对齐贡献的全天、超越Limber核进行评估。我们使用正则化的修正Richardson-Lucy算法重建 $A(k)$，在 $\ln k$ 中采用弱扩散，并沿迭代历史选择最小 $\chi^2$ 解。利用类似Rubin/LSST第10年的合成数据，我们发现振幅 $\gtrsim1\\%$ 的振荡调制可以在 $0.1\lesssim k\lesssim0.5\\,{\rm Mpc}^{-1}$ 范围内恢复，前提是振荡频率 $f\lesssim10$（在 $\log_{10}[k/(0.2\\,{\rm Mpc}^{-1})]$ 上）。我们进一步引入了一个后验加权一致性统计量，该统计量通过后验预测零模型校准，从而在不依赖Wilks定理的情况下考虑宇宙学参数和 nuisance 参数的不确定性。零情况与 $A(k)=1$ 一致，而 $1\\%$ 的振荡调制以 $\sim 2.6\sigma$ 的显著性被检测到。这些结果证明了正则化反卷积作为未来 $3\times2$pt 巡天中物质功率谱模型无关一致性检验的潜力。
英文摘要
We present a deconvolution-based framework for testing scale-dependent departures of the late-time matter power spectrum from a fiducial cosmological model using $3\times2$pt measurements. We introduce a free-form scale-dependent modulation $A(k)$ of the fiducial nonlinear matter power spectrum and construct the linear response of binned galaxy-clustering, galaxy-galaxy-lensing, and cosmic-shear spectra to the discretized modulation $A(k)$. The response is evaluated with full-sky, beyond-Limber kernels including density, redshift-space-distortion, gravitational-shear, and intrinsic-alignment contributions. We reconstruct $A(k)$ using a regularized modified Richardson-Lucy algorithm, with weak diffusion in $\ln k$ and selection of the minimum-$χ^2$ solution along the iteration history. Using Rubin/LSST Year 10-like synthetic data, we find that oscillatory modulations with amplitudes $\gtrsim1\%$ can be recovered over $0.1\lesssim k\lesssim0.5\,{\rm Mpc}^{-1}$, provided the oscillation frequency $f\lesssim10$ on $\log_{10}[k/(0.2\,{\rm Mpc}^{-1})]$. We further introduce a posterior-weighted consistency statistic calibrated with posterior-predictive null mocks, thereby accounting for cosmological and nuisance-parameter uncertainties without relying on Wilks' theorem. The null case is consistent with $A(k)=1$, while a $1\%$ oscillatory modulation is detected at $\sim 2.6σ$. These results demonstrate the potential of regularized deconvolution as a model-independent consistency test of the matter power spectrum in future $3\times2$pt surveys.
Comments13+7 pages, 9 figures
