With the advent of a new generation of cosmological experiments that will provide high-precision measurements of the cosmic microwave background (CMB) and galaxies in the large-scale structure, it is pertinent to examine the potential of performing a joint analysis of multiple cosmological probes. In this paper, we study the cosmological information content contained in the one-loop power spectra and tree bispectra of galaxies cross-correlated with CMB lensing. We use the FFTLog method to compute angular correlations in spherical harmonic space, applicable for wide angles that can be accessed by forthcoming galaxy surveys. We find that adding the bispectra and cross-correlations with CMB lensing offers a significant improvement in parameter constraints, including those on the total neutrino mass, M_ν, and local non-Gaussianity amplitude, . In particular, our results suggest that the combination of the Vera C.Rubin Observatory's Legacy Survey of Space and Time (LSST) and CMB-S4 will be able to achieve σ(M_ν)=42 meV from galaxy and CMB lensing correlations, and σ(M_ν)=12 meV when further combined with the CMB temperature and polarization data, without any prior on the optical depth.

随着新一代宇宙学实验的出现，它将提供对宇宙微波背景 (CMB) 和大尺度结构中星系的高精度测量，有必要检查对多个宇宙学探测器进行联合分析的潜力. 在本文中，我们研究了与CMB透镜互相关的星系的单环功率谱和树双谱中包含的宇宙学信息内容。我们使用 FFTLog 方法计算球谐空间中的角相关性，适用于即将进行的星系调查可以访问的广角。我们发现将双谱和互相关与 CMB 透镜相加可以显着改善参数约束，包括对中微子总质量 M _{ν 的}约束，和局部非高斯幅度，。特别是，我们的结果表明，Vera C.Rubin 天文台的时空遗产调查 (LSST) 和 CMB-S4 的组合将能够从星系和 CMB 透镜相关性中实现 σ(M _ν )=42 meV，并且σ(M _ν )=12 meV 当进一步结合 CMB 温度和偏振数据时，没有任何关于光学深度的先验。