论文标题
从LSS的一致性关系中对增长率的独立测量
Model independent measurement of the growth rate from the consistency relations of the LSS
论文作者
论文摘要
大规模结构的一致性关系提供了在挤压双光谱(BS)中与功率谱(PS)中重质声振荡幅度之间的联系。这种关系取决于所考虑的示踪剂,$b_α$的大规模偏置,以及结构的增长率,$ f $。值得注意的是,源自基本的对称原理,这种关系是确切的,独立于潜在的宇宙学模型。 通过分析用于暗物质和光环的大量模拟的数据,我们说明了如何使用BS和PS测量来提取$b_α$和$ f $,而无需任何理论近似方案来计算BS和PS。我们表明,将挤压BS的测量与四极杆与单极比率相结合,以大规模的PS的单极比率成功打破了$B_α-F $变性。我们预测,适用于类似欧几里得的调查的这种方法将能够衡量偏见,然后增长率高于$ 10 \%$级别,而没有额外的假设。
The Consistency Relations for the Large Scale Structure provide a link between the amplitude of Baryonic Acoustic Oscillations in the squeezed bispectrum (BS) and in the power spectrum (PS). This relation depends on the large scale bias of the considered tracer, $b_α$, and on the growth rate of structures, $f$. Remarkably, originating from basic symmetry principles, this relation is exact and independent on the underlying cosmological model. By analysing data from large volume simulations, both for dark matter and for haloes, we illustrate how BS and PS measurements can be used to extract $b_α$ and $f$ without the need of any theoretical approximation scheme for the computation of the BS and the PS. We show that, combining measurements of the squeezed BS with the quadrupole to monopole ratios for the PS at large scales can successfully break the $b_α-f$ degeneracy. We forecast that this method, applied to a Euclid-like survey, will be able to measure bias, and then the growth rate, at better than $10\%$ level, with no extra assumption.