Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy

Abstract

We present measurements of $E_G$, a probe of gravity from large-scale structure, using BOSS LOWZ and CMASS spectroscopic samples, with lensing measurements from SDSS (galaxy lensing) and Planck (CMB lensing). Using SDSS lensing and the BOSS LOWZ sample, we measure $⟨E_G⟩=0.40_{-0.04}^{+0.05}$ (stat), $\pm 0.026$ (systematic), consistent with the predicted value from the Planck $\Lambda$CDM model, $E_G=0.46$. Using CMB lensing, we measure $⟨E_G⟩=0.46_{-0.09}^{+0.08}$ (stat) for LOWZ (statistically consistent with galaxy lensing and Planck predictions) and $⟨E_G⟩=0.39_{-0.05}^{+0.05}$ (stat) for the CMASS sample, consistent with the Planck prediction of $E_G=0.40$ given the higher redshift of the sample. We also study the redshift evolution of $E_G$ by splitting the LOWZ sample into two samples based on redshift, with results being consistent with model predictions. We estimate systematic uncertainties on the above $⟨E_G⟩$ numbers to be $\sim 6$% (when using galaxy-galaxy lensing) or $\sim 3$% (when using CMB lensing), subdominant to the quoted statistical errors. These systematic error budgets are dominated by observational systematics in galaxy-galaxy lensing and by theoretical modeling uncertainties, respectively. We do not estimate observational systematics in galaxy-CMB lensing cross correlations.

arXiv commentMatches accepted version in MNRAS

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