Cross-Correlation of CFHTLenS Galaxy Number Density and Planck CMB Lensing

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We measure the cross-power spectrum between galaxy density from Canada-France-Hawaii-Telescope Lensing Survey (CFHTLenS) catalogues and gravitational lensing convergence from Planck data release 1 (2013) and 2 (2015). We investigate three main galaxy samples: 18.0<i AB<22.0, 18.0<i AB<23.0, 18.0<i AB<24.0 in the redshift range 0.2<z<1.3 in each of the four CFHTLenS wide fields. By comparing the measured cross-spectrum with model predictions, linear galaxy-dark matter biases of b=0.82⁺⁰.²⁴₋₀.₂₃, 0.83⁺⁰.¹⁹₋₀.₁₈, 0.82⁺⁰.¹⁶₋₀.₁₄ are inferred at significances of 3.5, 4.5, 5.6σ using the Planck 2015 release. These measurements are marginally consistent with biases derived from galaxy-galaxy auto-correlations: b=1.15⁺⁰.⁰²₋₀.₀₁, 1.08⁺⁰.⁰¹₋₀.₀₁ and 0.96⁺⁰.⁰¹₋₀.₀₁ respectively. Using the 2013 Planck release, we obtain biases of b=1.33⁺⁰.²⁹₋₀.₂₈, 1.19⁺⁰.²³₋₀.₂₃, 1.16⁺⁰.¹⁹₋₀.₁₈, showing significant differences between the releases.