Modelling Galaxy Clustering and Tomographic Galaxy-Galaxy Lensing with HSC Y3 and SDSS using the Point-Mass Correction Model and Redshift Self-Calibration

Kavli Affiliate: Masahiro Takada

| First 5 Authors: Tianqing Zhang, Tianqing Zhang, , ,

| Summary:

The combination of galaxy-galaxy weak lensing and galaxy clustering is a
powerful probe of the cosmological model, and exploration of how to best model
and extract this information from the signals is essential. We present the
measurement of the galaxy-galaxy weak lensing signals using the SDSS DR11
spectroscopic galaxies as lens galaxies, and the HSC Y3 shear catalog as source
galaxies, binned into four tomographic bins by their photometric redshift. The
SDSS DR11 galaxies, with a redshift range $0.15<z<0.7$, are binned into three
redshift bins, each as a probe for measuring the projected correlation
function, $w_p(R_p)$. We measure the galaxy-galaxy lensing signal $Delta
Sigma (R_p)$ in 12 lens-source bin pairs and show that there is no evidence
for significant systematic biases in the measurement with null testing. We
combine our $w_p(R_p)$ and $Delta Sigma (R_p)$ ($2times2$pt) data vectors
and perform likelihood inference with a flat $Lambda$CDM model. For $Delta
Sigma (R_p)$, we extend the lower limit of the scale cut compared to previous
HSC Y3 analyses to $2 h^-1$Mpc by including a point-mass correction term in
addition to the minimal bias model. We present various tests to validate our
model and provide extended consistency tests. In the $Lambda$CDM context, our
fiducial model yields $S_8 = 0.804^+0.051_-0.051$. The $2times2$pt data
vector provides redshift parameter constraints for the third and fourth
redshift bins $Delta z_3 = -0.079^+0.074_-0.084$, and $Delta z_4 =
-0.203^+0.167_-0.206$, which is consistent with results from the previous
tomographic cosmic shear studies, and serves as the foundation for a future
$3times 2$pt analysis.

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