Cosmology with the galaxy bispectrum: galaxy bias, redshift-space distortion, and primordial non-Gaussianity

理解宇宙结构的生长和演化是建立宇宙整体精确模型的关键组成部分。为了做到这一点，需要对星系进行大规模的调查。这项研究的目标是为当前和未来的大规模宇宙星系调查开发新的分析/解释工具，如HETDEX（霍比-埃伯利暗能量实验）和eBOSS（扩展重子振荡光谱调查）。这项工作更广泛的影响包括培养两名研究生和一名博士后，并为宾夕法尼亚州立大学天文和天体物理系的拓展项目开发了一份新的报告，重点关注宇宙的大规模结构。研究将着重于星系双谱、星系三点相关函数的傅里叶变换、约束原始非高斯性和结构生长的非线性物理。提出了三个项目，包括研究基于许多不同形式的先进微扰理论与n体模拟相比的理论预测的准确性，详细分析调查窗口函数，以及协方差矩阵的解析近似。

Understanding the growth and evolution of structure in the Universe is a key component of developing an accurate model of the Universe as a whole. In order to do this, large surveys of galaxies are needed. The goal of this research is to develop new analysis/interpretation tools for current and future large-scale cosmological galaxy surveys such as HETDEX (Hobby-Eberly Telescope Dark Energy Experiment) and eBOSS (Extended Baryon Oscillation Spectroscopic Survey). Broader impacts of the work include training of two graduate students and a postdoc, and development of a new presentation focusing on the large-scale structure of the Universe for the outreach program of the Department of Astronomy & Astrophysics at Penn State.The research will emphasize the galaxy bispectrum, the Fourier transform of the galaxy three-point correlation function, to constrain primordial non-Gaussianity and the non-linear physics of structure growth. Three projects are proposed, including an investigation of the accuracy of theoretical predictions based on many different forms of advanced perturbation theory compared to N-body simulations, a detailed analysis of survey window functions, and analytic approximations for covariance matrices.