Cosmology from Planck CMB Lensing and DESI DR1 Quasar Tomography

Abstract

We present a measurement of the amplitude of matter fluctuations over the redshift range 0.8 <= z <= 3.5 from the cross correlation of over 1.2 million spectroscopic quasars selected by the Dark Energy Spectroscopic Instrument (DESI) across 7,200 deg${}^2$ (approx 170 quasars/deg${}^2$) and Planck PR4 (NPIPE) cosmic microwave background (CMB) lensing maps. We perform a tomographic measurement in three bins centered at effective redshifts z=1.44, 2.27 and 2.75, which have ample overlap with the CMB lensing kernel. From a joint fit using the angular clustering of all three redshift bins (auto and cross-spectra), and including an ${\Omega }_m$ prior from DESI DR1 baryon acoustic oscillations to break the ${\Omega }_m-{\sigma }_8$ degeneracy, we constrain the amplitude of matter fluctuations in the matter-dominated regime to be ${\sigma }_8=0.929_{-0.074}^{+0.059}$ and $S_8\equiv {\sigma }_8({\Omega }_m/0.3{)}^{0.5}=0.922_{-0.073}^{+0.059}$. We provide a growth of structure measurement with the largest spectroscopic quasar sample to date at high redshift, which is 1.5$\sigma$ higher than predictions from $\Lambda$CDM fits to measurements of the primary CMB from Planck PR4. The cross-correlation between PR4 lensing maps and DESI DR1 quasars is detected with a signal-to-noise ratio of 21.7 and the quasar auto-correlation at 27.2 for the joint analysis of all redshift bins. We combine our measurement with the CMB lensing auto-spectrum from the ground-based Atacama Cosmology Telescope (ACT DR6) and Planck PR4 to perform a sound-horizon-free measurement of the Hubble constant, yielding $H_0=69.1_{-2.6}^{+2.2}\mathrm{km}{\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$ through its sensitivity to the matter-radiation equality scale.

39 pages, 10 figures, comments welcome. Data are available on Zenodo

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