We analyze the BOSS power spectrum monopole and quadrupole, and the bispectrum monopole and quadrupole data, using the predictions from the Effective Field Theory of Large-Scale Structure (EFTofLSS). Specifically, we use the one loop prediction for the power spectrum and the bispectrum monopole, and the tree level for the bispectrum quadrupole. After validating our pipeline against numerical simulations as well as checking for several internal consistencies, we apply it to the observational data. We find that analyzing the bispectrum monopole to higher wavenumbers thanks to the one-loop prediction, as well as the addition of the tree-level quadrupole, significantly reduces the error bars with respect to our original analysis of the power spectrum at one loop and bispectrum monopole at tree level. After fixing the spectral tilt to Planck preferred value and using a Big Bang Nucleosynthesis prior, we measure σ ₈ = 0.794 ± 0.037, h = 0.692 ± 0.011, and Ω _m  = 0.311 ± 0.010 to about 4.7%, 1.6%, and 3.2%, at 68% CL, respectively. This represents an error bar reduction with respect to the power spectrum-only analysis of about 30%, 18%, and 13% respectively. Remarkably, the results are compatible with the ones obtained with a power-spectrum-only analysis, showing the power of the EFTofLSS in simultaneously predicting several observables. We find no tension with Planck.

中文翻译：

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大型结构有效场论的 BOSS 双谱单循环分析


我们使用大规模结构有效场论 (EFTofLSS) 的预测来分析 BOSS 功率谱单极子和四极子以及双谱单极子和四极子数据。具体来说，我们对功率谱和双谱单极子使用单循环预测，对双谱四极子使用树级别。在根据数值模拟验证我们的流程并检查几个内部一致性后，我们将其应用于观测数据。我们发现，由于单环预测以及树级四极杆的添加，将双谱单极子分析到更高的波数，相对于我们对单环功率谱和双谱的原始分析，显着减少了误差线树级别的单极子。将光谱倾斜固定为普朗克首选值并使用大爆炸核合成先验后，我们测量 σ ₈ = 0.794 ± 0.037、h = 0.692 ± 0.011 和 Ω _m = 0.311 ± 68% CL 时分别为 0.010 至约 4.7%、1.6% 和 3.2%。这表示相对于仅功率谱分析，误差条分别减少了约 30%、18% 和 13%。值得注意的是，结果与仅功率谱分析获得的结果兼容，显示了 EFTofLSS 在同时预测多个可观测值方面的能力。我们发现与普朗克之间没有紧张关系。