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Probing gravitational lensing of the CMB with SDSS-IV quasars

Abstract

We study the cross-correlation between the Planck cosmic microwave background (CMB) lensing convergence map and the extended-Baryon Oscillation Spectroscopic Survey (e-BOSS) quasar overdensity obtained from the Sloan Digital Sky Survey (SDSS) IV, in the redshift range 0.9 < z < 2.2. We detect the CMB lensing convergence–quasar cross-power spectrum at 5.4σ significance. The cross-power spectrum provides a quasar clustering bias measurement that is expected to be particularly robust against systematic effects. The redshift distribution of the quasar sample has a median redshift z ≈ 1.55, and an effective redshift about 1.51. The best-fitting bias of the quasar sample is bq = 2.43 ± 0.45, corresponding to a host halo mass of log10 h−1MM = 12.54+−00..2536. This is broadly consistent with the previous literature on quasars with a similar redshift range and selection. Since our constraint on the bias comes from the cross-correlation between quasars and CMB lensing, we expect it to be robust to a wide range of possible systematic effects that may contaminate the autocorrelation of quasars. We checked for a number of systematic effects from both CMB lensing and quasar overdensity, and found that all systematics are consistent with null within 2σ. The data are not sensitive to a possible scale dependence of the bias at present, but we expect that as the number of quasars increases [in future surveys such as Dark Energy Spectroscopic Instrument (DESI)], it is likely that strong constraints on the scale dependence of the bias can be obtained.

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