Measuring Distance Ratios with CMB-Galaxy Lensing Cross-correlations

Abstract

We propose a method for cosmographic measurements by combining gravitational lensing of the cosmic microwave background (CMB) with cosmic shear surveys. We cross-correlate the galaxy counts in the lens plane with two different source planes: the CMB at $z\sim 1100$ and galaxies at an intermediate redshift. The ratio of the galaxy count/CMB lensing cross-correlation to the galaxy count/galaxy lensing cross correlation is shown to be a purely geometric quantity, depending only on the distribution function of the source galaxies. By combining Planck, ADEPT and LSST the ratio can be measured to $\sim 4$ accuracy, whereas a future polarization based experiment like CMBPOL can make a more precise ($\sim 1$) measurement. For cosmological models where the curvature and the equation of state parameter are allowed to vary, the direction of degeneracy defined by the measurement of this ratio is different from that traced out by Baryon Acoustic Oscillation (BAO) measurements. Combining this method with the stacked cluster mass reconstruction cosmography technique as proposed by Hu, Holz and Vale (2007), the uncertainty in the ratio can be further reduced, improving the constraints on cosmological parameters. We also study the implications of the lensing-ratio measurement for early dark energy models, in context of the parameterization proposed by Doran and Robbers (2006). For models which are degenerate with respect to the CMB, we find both BAO and lensing-ratio measurements to be insensitive to the early component of the dark energy density.

8 pages; 7 figures

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Cited by in corpus (25)

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• The Atacama Cosmology Telescope: Cross-Correlation of CMB Lensing and Quasars
• Full-sky lensing reconstruction of gradient and curl modes from CMB maps
• Joint Measurement of Lensing-Galaxy Correlations Using SPT and DES SV Data
• Constraints on early dark energy from CMB lensing and weak lensing tomography
• Using CMB lensing to constrain the multiplicative bias of cosmic shear
• Robust covariance estimation of galaxy-galaxy weak lensing: validation and limitation of jackknife covariance
• CMB-lensing beyond the Born approximation
• Dark Energy Survey Year 3 Results: Exploiting small-scale information with lensing shear ratios
• Measurement of a Cosmographic Distance Ratio with Galaxy and CMB Lensing
• Tests of Neutrino and Dark Radiation Models from Galaxy and CMB surveys
• Cosmological lensing ratios with DES Y1, SPT and Planck
• Measuring the Geometry of the Universe from Weak Gravitational Lensing behind Galaxy Groups in the HST COSMOS survey
• Cosmological parameter forecasts by a joint 2D tomographic approach to CMB and galaxy clustering
• Real space lensing reconstruction using cosmic microwave background polarization
• Probing Gravitational Lensing of the CMB with SDSS-IV Quasars
• CMBR Weak Lensing and HI 21-cm Cross-correlation Angular Power Spectrum
• Detecting the Cold Spot as a Void with the Non-Diagonal Two-Point Function
• An unbiased method of measuring the ratio of two data sets
• Cross-correlation cosmography with HI intensity mapping
• Measuring lensing ratios with future cosmological surveys
• Hyper Suprime-Cam Y3 results: photo-$z$ bias calibration with lensing shear ratios and cosmological constraints from cosmic shear