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

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, ${\Omega }_m=0.309\pm 0.014$, $\ln (10^{10}{A}_s)=3.12_{-0.26}^{+0.21}$ and $n_s=0.963_{-0.085}^{+0.062}$, and we bound the total neutrino mass to $0.87\text{eV}$ 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.

19+21 pages, 11 figures. v2: fixed minor mistake in PS+BAO; main results and conclusions unchanged. v3: 20+21 pages, 11 figures, matches version in JCAP, explanation improved

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