Title: Searching for Cosmic Strings in CMB Anisotropy Maps using Wavelets and Curvelets Show Chinese title

Title: 使用小波和轮廓波在宇宙弦的CMB各向异性图中进行搜索

Abstract: We use wavelet and curvelet transforms to extract signals of cosmic strings from cosmic microwave background (CMB) temperature anisotropy maps, and to study the limits on the cosmic string tension which various ongoing CMB temperature anisotropy experiments will be able to achieve. We construct sky maps with size and angular resolution corresponding to various experiments. These maps contain the signals of a scaling solution of long string segments with a given string tension $G \mu$, the contribution of the dominant Gaussian primordial cosmological fluctuations, and pixel by pixel white noise with an amplitude corresponding to the instrumental noise of the various experiments. In the case that we include white noise, we find that the curvelets are more powerful than wavelets. For maps with Planck specification, we obtain bounds on the string tension comparable to what was obtained by the Planck collaboration. Experiments with better angular resolution such as the South Pole Telescope third generation (SPT-3G) survey will be able to yield stronger limits. For maps with a specification of SPT-3G we find that string signals will be visible down to a string tension of $G \mu = 1.4 \times 10^{-7}$. Show Chinese abstract

Abstract: 我们使用小波和轮廓波变换从宇宙微波背景(CMB)温度各向异性图中提取宇宙弦的信号，并研究各种正在进行的CMB温度各向异性实验能够达到的宇宙弦张力限制。 我们构建了大小和角分辨率对应于各种实验的天空图。 这些图包含具有给定弦张力$G \mu$的长弦段的标度解信号，主要高斯原始宇宙涨落的贡献，以及像素级白噪声，其幅度对应于各种实验的仪器噪声。 在包含白噪声的情况下，我们发现轮廓波比小波更有效。 对于具有普朗克规格的图，我们得到的弦张力限制与普朗克合作组得到的结果相当。 具有更好角分辨率的实验，如南极望远镜第三代(SPT-3G)调查，将能够获得更强的限制。 对于具有SPT-3G规格的图，我们发现弦信号可以观测到弦张力为$G \mu = 1.4 \times 10^{-7}$的水平。