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We report novel cosmological constraints obtained from cosmic voids in thefinal BOSS DR12 dataset. They arise from the joint analysis of geometric anddynamic distortions of average void shapes (i.e., the stacked void-galaxycross-correlation function) in redshift space. Our model uses tomographicdeprojection to infer real-space void profiles and self-consistently accountsfor the Alcock-Paczynski (AP) effect and redshift-space distortions (RSD)without any prior assumptions on cosmology or structure formation. It isderived from first physical principles and provides an extremely gooddescription of the data at linear perturbation order. We validate this modelwith the help of mock catalogs and apply it to the final BOSS data to constrainthe RSD and AP parameters $f/b$ and $D_AH/c$, where $f$ is the linear growthrate, $b$ the linear galaxy bias, $D_A$ the comoving angular diameter distance,$H$ the Hubble rate, and $c$ the speed of light. In addition, we include twonuisance parameters in our analysis to marginalize over potential systematics.We obtain $f/b=0.540\pm0.091$ and $D_AH/c=0.588\pm0.004$ from the full voidsample at a mean redshift of $z=0.51$. In a flat $\Lambda$CDM cosmology, thisimplies $\Omega_\mathrm{m}=0.312\pm0.020$ for the present-day matter densityparameter. When we use additional information from the survey mocks tocalibrate our model, these constraints improve to $f/b=0.347\pm0.023$,$D_AH/c=0.588\pm0.003$, and $\Omega_\mathrm{m}=0.310\pm0.017$. However, weemphasize that the calibration depends on the specific model of cosmology andstructure formation assumed in the mocks, so the calibrated results should beconsidered less robust. Nevertheless, our calibration-independent constraintsare among the tightest of their kind to date, demonstrating the immensepotential of using cosmic voids for cosmology in current and future data.

Precision cosmology with voids in the final BOSS data