Constraining Gravity at the Largest Scales through CMB Lensing and Galaxy Velocities

Abstract

We demonstrate a new method to constrain gravity on the largest cosmological scales by combining measurements of cosmic microwave background (CMB) lensing and the galaxy velocity field. $E_G$ is a statistic, constructed from a gravitational lensing tracer and a measure of velocities such as redshift-space distortions (RSD), that can discriminate between gravity models while being independent of clustering bias and ${\sigma }_8$. While traditionally, the lensing field for $E_G$ has been probed through galaxy lensing, CMB lensing has been proposed as a more robust tracer of the lensing field for $E_G$ at higher redshifts while avoiding intrinsic alignments. We perform the largest-scale measurement of $E_G$ ever, up to 150 Mpc/$h$, by cross-correlating the Planck CMB lensing map with the Sloan Digital Sky Survey III (SDSS-III) CMASS galaxy sample and combining this with our measurement of the CMASS auto-power spectrum and the RSD parameter $\beta$. We report $E_G(z=0.57)=0.243\pm 0.060$ (stat) $\pm 0.013$ (sys), a measurement in tension with the general relativity prediction at a level of 2.6$\sigma$. Note that our $E_G$ measurement deviates from GR only at scales greater than 80 Mpc/$h$, scales which have not been probed by previous $E_G$ tests. Upcoming surveys, which will provide an order-of-magnitude reduction in statistical errors, can significantly constrain alternative gravity models when combined with better control of systematics.

12 pages, 11 figures, matches published version in MNRAS, minor edits

References in corpus (18)

• The 2.5 m Telescope of the Sloan Digital Sky Survey
• The Large Scale Structure of f(R) Gravity
• SNLS3: Constraints on Dark Energy Combining the Supernova Legacy Survey Three Year Data with Other Probes
• A discriminating probe of gravity at cosmological scales
• Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Distinguishing Modified Gravity from Dark Energy
• Testing gravity with CAMB and CosmoMC
• A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies
• Cross-correlation between the CMB lensing potential measured by Planck and high-z sub-mm galaxies detected by the Herschel-ATLAS survey
• Testing deviations from $\Lambda$CDM with growth rate measurements from 6 Large Scale Structure Surveys at $\mathbf{z}=0.06$ to 1
• Probing gravity at large scales through CMB lensing
• Testing gravity with $E_G$: mapping theory onto observations
• Constraint on $f(R)$ Gravity through the Redshift Space Distortion
• Cosmological tests of modified gravity: constraints on $F(R)$ theories from the galaxy clustering ratio
• Cross-correlation of CFHTLenS galaxy catalogue and Planck CMB lensing using the halo model prescription
• Cross-Correlation of CFHTLenS Galaxy Number Density and Planck CMB Lensing
• An Improved Photometric Calibration of the Sloan Digital Sky Survey Imaging Data

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