Cosmology with galaxy-galaxy lensing on non-perturbative scales: Emulation method and application to BOSS LOWZ. (arXiv:1907.06293v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Wibking_B/0/1/0/all/0/1">Benjamin D. Wibking</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Weinberg_D/0/1/0/all/0/1">David H. Weinberg</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Salcedo_A/0/1/0/all/0/1">Andr&#xe9;s N. Salcedo</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Wu_H/0/1/0/all/0/1">Hao-Yi Wu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Singh_S/0/1/0/all/0/1">Sukhdeep Singh</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Rodriguez_Torres_S/0/1/0/all/0/1">Sergio Rodr&#xed;guez-Torres</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Garrison_L/0/1/0/all/0/1">Lehman H. Garrison</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Eisenstein_D/0/1/0/all/0/1">Daniel J. Eisenstein</a>

We describe our nonlinear emulation (i.e., interpolation) framework that
combines the halo occupation distribution (HOD) galaxy bias model with $N$-body
simulations of nonlinear structure formation, designed to accurately predict
the projected clustering and galaxy-galaxy lensing signals from luminous red
galaxies (LRGs) in the redshift range $0.16 < z < 0.36$ on comoving scales $0.6 < r_p < 30$ $h^{-1}$ Mpc. The interpolation accuracy is $lesssim 1-2$ per cent across the entire physically plausible range of parameters for all scales considered. We correctly recover the true value of the cosmological parameter $S_8 = (frac{sigma_8}{0.8228}) (frac{Omega_{text{m}}}{0.3107})^{0.6}$ from mock measurements produced via subhalo abundance matching (SHAM)-based lightcones designed to approximately match the properties of the SDSS LOWZ galaxy sample. Applying our model to the Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 14 (DR14) LOWZ galaxy clustering and the galaxy-shear cross-correlation measurements of Singh et al. (2018), made with Sloan Digital Sky Survey (SDSS) Data Release 8 (DR8) imaging, we perform a prototype cosmological analysis marginalizing over $w$CDM cosmological parameters and galaxy HOD parameters. We obtain a 4.4 per cent measurement of $S_8 = 0.847 pm 0.037$, in $3.5sigma$ tension with the Planck cosmological results of $1.00 pm 0.02$. We discuss the possibility of underestimated systematic uncertainties or astrophysical effects that could explain this discrepancy.

We describe our nonlinear emulation (i.e., interpolation) framework that
combines the halo occupation distribution (HOD) galaxy bias model with $N$-body
simulations of nonlinear structure formation, designed to accurately predict
the projected clustering and galaxy-galaxy lensing signals from luminous red
galaxies (LRGs) in the redshift range $0.16 < z < 0.36$ on comoving scales $0.6
< r_p < 30$ $h^{-1}$ Mpc. The interpolation accuracy is $lesssim 1-2$ per cent
across the entire physically plausible range of parameters for all scales
considered. We correctly recover the true value of the cosmological parameter
$S_8 = (frac{sigma_8}{0.8228}) (frac{Omega_{text{m}}}{0.3107})^{0.6}$ from
mock measurements produced via subhalo abundance matching (SHAM)-based
lightcones designed to approximately match the properties of the SDSS LOWZ
galaxy sample. Applying our model to the Baryon Oscillation Spectroscopic
Survey (BOSS) Data Release 14 (DR14) LOWZ galaxy clustering and the
galaxy-shear cross-correlation measurements of Singh et al. (2018), made with
Sloan Digital Sky Survey (SDSS) Data Release 8 (DR8) imaging, we perform a
prototype cosmological analysis marginalizing over $w$CDM cosmological
parameters and galaxy HOD parameters. We obtain a 4.4 per cent measurement of
$S_8 = 0.847 pm 0.037$, in $3.5sigma$ tension with the Planck cosmological
results of $1.00 pm 0.02$. We discuss the possibility of underestimated
systematic uncertainties or astrophysical effects that could explain this
discrepancy.

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