H0LiCOW VIII. A weak lensing measurement of the external convergence in the field of the lensed quasar HE0435$-$1223

Abstract

We present a weak gravitational lensing measurement of the external convergence along the line of sight to the quadruply lensed quasar HE0435$-$1223. Using deep r-band images from Subaru-Suprime-Cam we observe galaxies down to a 3$\sigma$ limiting magnitude of $\sim 26$ mags resulting in a source galaxy density of 14 galaxies / arcmin${}^2$ after redshift-based cuts. Using an inpainting technique and Multi-Scale Entropy filtering algorithm, we find that the region in close proximity to the lens has an estimated external convergence of $\kappa =-0.012_{-0.013}^{+0.020}$ and is hence marginally under-dense. We also rule out the presence of any halo with a mass greater than $M_{\mathrm{vir}}=1.6\times 10^{14}{h}^{-1}{M}_{\odot }$ (68$\%$ confidence limit). Our results, consistent with previous studies of this lens, confirm that the intervening mass along the line of sight to HE0435$-$1223 does not affect significantly the cosmological results inferred from the time delay measurements of that specific object.

14 pages, 8 figures, 2 tables

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