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, $b_\alpha$, 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 $b_\alpha$ 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 $b_\alpha -f$ 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.

中文翻译：

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从 LSS 的一致性关系模型独立测量增长率

大尺度结构的一致性关系提供了压缩双谱 (BS) 和功率谱 (PS) 中重子声振荡幅度之间的联系。这种关系取决于所考虑的示踪剂的大规模偏差 $b_\alpha$，以及结构的增长率 $f$。值得注意的是，源自基本对称原理，这种关系是精确的，独立于潜在的宇宙学模型。通过分析来自暗物质和晕圈的大量模拟数据，我们说明了如何使用 BS 和 PS 测量来提取 $b_\alpha$ 和 $f$，而无需任何理论近似方案来计算BS和PS。我们表明，将压缩 BS 的测量结果与 PS 在大规模的四极与单极比的测量相结合，可以成功地打破 $b_\alpha -f$ 简并。我们预测，这种应用于类似欧几里得的调查的方法将能够衡量偏差，然后衡量增长率，在 10\%$ 水平以上，无需额外假设。