BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure

TL;DR

This paper calibrates the Effective Field Theory of Large-Scale Structure against simulations, analyzes the BOSS Correlation Function, and derives cosmological parameters with high precision, consistent with Planck results.

Contribution

It introduces a new method to determine the scale cut of the theory without simulations and provides refined cosmological parameter measurements from BOSS data.

Findings

Measured cosmological parameters with high precision.

Bound the total neutrino mass to 0.87 eV at 95% confidence.

Found no tension with Planck measurements in H0 and sigma8.

Abstract

After calibrating the predictions of the Effective Field Theory of Large-Scale Structure against several sets of simulations, as well as implementing a new method to assert the scale cut of the theory without the use of any simulation, we analyze the Full Shape of the BOSS Correlation Function. Imposing a prior from Big Bang Nucleosynthesis on the baryon density, we are able to measure all the parameters in $\Lambda$CDM + massive neutrinos in normal hierarchy, except for the total neutrino mass, which is just bounded. When combining the BOSS Full Shape with the Baryon Acoustic Oscillation measurements from BOSS, 6DF/MGS and eBOSS, we determine the present day Hubble constant, $H_0$, the present matter fraction, $\Omega_m$, the amplitude of the primordial power spectrum, $A_s$, and the tilt of the primordial power spectrum, $n_s$, to $1.4 \%, 4.5 \%, 23.5\%$ and $7.6\%$ precision, respectively, at $68 \%$-confidence level, finding $H_0=68.19 \pm 0.99$ (km/s)/Mpc, $\Omega_m=0.309\pm 0.014$, $\ln (10^{10}A_{s })=3.12^{+0.21}_{-0.26}$ and $n_s=0.963^{+0.062}_{-0.085}$, and we bound the total neutrino mass to $0.87 \, \textrm{eV}$ at $95 \%$-confidence level. These constraints are fully consistent with Planck results and the ones obtained from BOSS power spectrum analysis. In particular, we find no tension in $H_0$ or $\sigma_8$ with Planck measurements, finding consistency at $1.2\sigma$ and $0.6\sigma$, respectively.