arXiv:2512.19577astro-ph.COcs.CV2025-12

用深度学习同时去除多种宇宙微波背景的干扰信号,提升原初引力波探测精度。

Deep Learning for Primordial $B$-mode Extraction

  • 用ResUNet-CMB网络联合估计多种次级B模污染源
  • 实现近似最优的原初引力波振幅无偏估计
  • 适合做宇宙学参数反演与高精度引力波搜索的研究者

寻找原初引力波是宇宙微波背景(CMB)观测的核心目标。分离由原初引力波引起的特征性B模极化信号面临多重挑战:信号本底微弱;天体物理前景产生污染信号;二次效应如E模转换也会生成B模。当前及未来的低噪声、多频观测已足以应对前两个问题,使得二次B模成为限制原初引力波振幅约束的关键瓶颈。其中主要来源是大尺度结构引起的引力透镜效应。已有多种方法用于估计透镜偏移并逆转其影响,以降低对原初引力波搜寻的混淆。然而仍存在复杂性:可能存在其他次级B模来源,如不均匀再电离或宇宙极化旋转;且应用先进透镜重建技术后,去透镜后的CMB图统计特性会变得复杂且非高斯。我们此前已证明,深度学习网络ResUNet-CMB可近乎最优地联合估计多个次级B模污染源。本文进一步展示如何利用深度学习同时估计并消除多种次级B模污染,并将其应用于似然分析,实现对原初引力波振幅的近乎最优、无偏估计。

原文摘要 · Abstract (English)

The search for primordial gravitational waves is a central goal of cosmic microwave background (CMB) surveys. Isolating the characteristic $B$-mode polarization signal sourced by primordial gravitational waves is challenging for several reasons: the amplitude of the signal is inherently small; astrophysical foregrounds produce $B$-mode polarization contaminating the signal; and secondary $B$-mode polarization fluctuations are produced via the conversion of $E$ modes. Current and future low-noise, multi-frequency observations enable sufficient precision to address the first two of these challenges such that secondary $B$ modes will become the bottleneck for improved constraints on the amplitude of primordial gravitational waves. The dominant source of secondary $B$-mode polarization is gravitational lensing by large scale structure. Various strategies have been developed to estimate the lensing deflection and to reverse its effects the CMB, thus reducing confusion from lensing $B$ modes in the search for primordial gravitational waves. However, a few complications remain. First, there may be additional sources of secondary $B$-mode polarization, for example from patchy reionization or from cosmic polarization rotation. Second, the statistics of delensed CMB maps can become complicated and non-Gaussian, especially when advanced lensing reconstruction techniques are applied. We previously demonstrated how a deep learning network, ResUNet-CMB, can provide nearly optimal simultaneous estimates of multiple sources of secondary $B$-mode polarization. In this paper, we show how deep learning can be applied to estimate and remove multiple sources of secondary $B$-mode polarization, and we further show how this technique can be used in a likelihood analysis to produce nearly optimal, unbiased estimates of the amplitude of primordial gravitational waves.

引力波探测深度学习宇宙学CMB分析

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