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We analyze the BOSS power spectrum monopole and quadrupole, and thebispectrum monopole and quadrupole data, using the predictions from theEffective Field Theory of Large-Scale Structure (EFTofLSS). Specifically, weuse the one loop prediction for the power spectrum and the bispectrum monopole,and the tree level for the bispectrum quadrupole. After validating our pipelineagainst numerical simulations as well as checking for several internalconsistencies, we apply it to the observational data. We find that analyzingthe bispectrum monopole to higher wavenumbers thanks to the one-loopprediction, as well as the addition of the tree-level quadrupole, significantlyreduces the error bars with respect to our original analysis of the powerspectrum at one loop and bispectrum monopole at tree level. After fixing thespectral tilt to Planck preferred value and using a Big Bang Nucleosynthesisprior, we measure $\sigma_8=0.794\pm 0.037$, $h = 0.692\pm 0.011$, and$\Omega_m = 0.311\pm 0.010$ to about $4.7\%$, $1.6\%$, and $3.2\%$, at $68\%$CL, respectively. This represents an error bar reduction with respect to thepower spectrum-only analysis of about $30\%$, $18\%$, and $13\%$ respectively.Remarkably, the results are compatible with the ones obtained with apower-spectrum-only analysis, showing the power of the EFTofLSS insimultaneously predicting several observables. We find no tension with Planck.

The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure