# Cross-correlation of POLARBEAR CMB Polarization Lensing with High-$z$ Sub-mm Herschel-ATLAS galaxies

## TL;DR

This paper presents the first measurement of the cross-correlation between CMB polarization lensing from POLARBEAR and high-redshift Herschel-ATLAS galaxies, revealing insights into galaxy bias and halo mass at z~2.

## Contribution

It introduces a novel cross-correlation analysis using CMB polarization data, demonstrating its effectiveness and robustness for future cosmological studies.

## Key findings

- Detected a 4.8σ cross-correlation signal.
- Estimated galaxy bias of 5.76 ± 1.25.
- Inferred host halo mass of log10(M_h/M_⊙)=13.5^{+0.2}_{-0.3}.

## Abstract

We report a 4.8$\sigma$ measurement of the cross-correlation signal between the cosmic microwave background (CMB) lensing convergence reconstructed from measurements of the CMB polarization made by the POLARBEAR experiment and the infrared-selected galaxies of the Herschel-ATLAS survey. This is the first measurement of its kind. We infer a best-fit galaxy bias of $b = 5.76 \pm 1.25$, corresponding to a host halo mass of $\log_{10}(M_h/M_\odot) =13.5^{+0.2}_{-0.3}$ at an effective redshift of $z \sim 2$ from the cross-correlation power spectrum. Residual uncertainties in the redshift distribution of the sub-mm galaxies are subdominant with respect to the statistical precision. We perform a suite of systematic tests, finding that instrumental and astrophysical contaminations are small compared to the statistical error. This cross-correlation measurement only relies on CMB polarization information that, differently from CMB temperature maps, is less contaminated by galactic and extra-galactic foregrounds, providing a clearer view of the projected matter distribution. This result demonstrates the feasibility and robustness of this approach for future high-sensitivity CMB polarization experiments.