论文标题
相对论的银河系双光谱中的局部原始非高斯性
Local primordial non-Gaussianity in the relativistic galaxy bispectrum
论文作者
论文摘要
下一代星系和21厘米强度映射调查将依靠功率谱和双光谱的组合来进行原始非高斯性的高精度测量。反过来,这些测量结果将使我们能够区分各种通货膨胀模型。但是,精度观察至少在同一水平上需要理论精度。我们通过在存在局部原始非高斯性的情况下,在二阶以二阶的一致的一般相对论模型结合了一致的一般相对论模型,从而扩展了对星系双光谱的理论理解。由于红移空间的效应,原始非高斯对双光谱的影响超出了星系偏置和暗物质密度。第一和二阶的标准红移空间变形产生了双光谱上的众所周知的原始非高斯烙印。对红移空间扭曲的相对论校正对这种原始的非高斯信号产生了新的贡献,该信号是由以下方式引起的:(1)〜一阶比例依赖性偏见与一阶相对论观察效应的耦合,以及(2)〜线性演变的非高斯效应,在第二阶效果中,二阶效应效果出现在二阶效果中,并出现在相关的潜在效果中。我们的分析允许将相对论的“污染”与原始信号分开,以避免使用错误的理论模型来偏向测量。我们表明,使用牛顿分析的牛顿分析的偏见可能为$δ\ fnl \ sim 5 $,对于IV级H $α$调查。
Next-generation galaxy and 21cm intensity mapping surveys will rely on a combination of the power spectrum and bispectrum for high-precision measurements of primordial non-Gaussianity. In turn, these measurements will allow us to distinguish between various models of inflation. However, precision observations require theoretical precision at least at the same level. We extend the theoretical understanding of the galaxy bispectrum by incorporating a consistent general relativistic model of galaxy bias at second order, in the presence of local primordial non-Gaussianity. The influence of primordial non-Gaussianity on the bispectrum extends beyond the galaxy bias and the dark matter density, due to redshift-space effects. The standard redshift-space distortions at first and second order produce a well-known primordial non-Gaussian imprint on the bispectrum. Relativistic corrections to redshift-space distortions generate new contributions to this primordial non-Gaussian signal, arising from: (1)~a coupling of first-order scale-dependent bias with first-order relativistic observational effects, and (2)~linearly evolved non-Gaussianity in the second-order velocity and metric potentials which appear in relativistic observational effects. Our analysis allows for a consistent separation of the relativistic `contamination' from the primordial signal, in order to avoid biasing the measurements by using an incorrect theoretical model. We show that the bias from using a Newtonian analysis of the squeezed bispectrum could be $Δ\fnl\sim 5$ for a Stage IV H$α$ survey.