Lyman-Break Galaxy (LBG) samples observed during reionization ($zgtrsim6$) with Hubble Space Telescopes Wide Field Camera 3 are reaching sizes sufficient to characterize their clustering properties. Using a combined catalog from the Hubble eXtreme De
ep Field and CANDELS surveys, containing $N=743$ LBG candidates at z>6.5 at a mean redshift of $z=7.2$, we detect a clear clustering signal in the angular correlation function (ACF) at $sim4sigma$, corresponding to a real-space correlation length $r_{0}=6.7^{+0.9}_{-1.0}h^{-1}$cMpc. The derived galaxy bias $b=8.6^{+0.9}_{-1.0}$ is that of dark-matter halos of $M=10^{11.1^{+0.2}_{-0.3}}$M$_{odot}$ at $z=7.2$, and highlights that galaxies below the current detection limit ($M_{AB}sim-17.7$) are expected in lower-mass halos ($Msim10^{8}-10^{10.5}$M$_{odot}$). We compute the ACF of LBGs at $zsim3.8-zsim5.9$ in the same surveys. A trend of increasing bias is found from $z=3.8$ ($bsim3.0$) to $z=7.2$ ($bsim8.6$), broadly consistent with galaxies at fixed luminosity being hosted in dark-matter halos of similar mass at $4<z<6$, followed by a slight rise in halo masses at $zsim7$ ($sim2sigma$ confidence). Separating the data at the median luminosity of the $z=7.2$ sample ($M_{UV}=-19.4$) shows higher clustering at $z=5.9$ for bright galaxies ($r_{0}=5.5^{+1.4}_{-1.5}h^{-1}$cMpc, $b=6.2^{+1.2}_{-1.5}$) compared to faint galaxies ($r_{0}=1.9^{+1.1}_{-1.0}h^{-1}$cMpc, $b=2.7pm1.2$) implying a constant mass-to-light ratio $frac{dlogM}{dlogL}sim1.2^{+1.8}_{-0.8}$. A similar trend is present in the $z=7.2$ sample with larger uncertainty. Finally, our bias measurements allow us to investigate the fraction of dark-matter halos hosting UV-bright galaxies (the duty-cycle, $epsilon_{DC}$). At $z=7.2$ values near unity are preferred, which may be explained by the shortened halo assembly time at high-redshift.
We present a detailed analysis of an individual case of gravitational lensing of a $zsim8$ Lyman-Break galaxy (LBG) in a blank field, identified in Hubble Space Telescope imaging obtained as part of the Brightest of Reionizing Galaxies survey. To inv
estigate the close proximity of the bright ($m_{AB}=25.8$) $Y_{098}$-dropout to a small group of foreground galaxies, we obtained deep spectroscopy of the dropout and two foreground galaxies using VLT/X-Shooter. We detect H-$alpha$, H-$beta$, [OIII] and [OII] emission in the brightest two foreground galaxies (unresolved at the natural seeing of $0.8$ arcsec), placing the pair at $z=1.327$. We can rule out emission lines contributing all of the observed broadband flux in $H_{160}$ band at $70sigma$, allowing us to exclude the $zsim8$ candidate as a low redshift interloper with broadband photometry dominated by strong emission lines. The foreground galaxy pair lies at the peak of the luminosity, redshift and separation distributions for deflectors of strongly lensed $zsim8$ objects, and we make a marginal detection of a demagnified secondary image in the deepest ($J_{125}$) filter. We show that the configuration can be accurately modelled by a singular isothermal ellipsoidal deflector and a S{e}rsic source magnified by a factor of $mu=4.3pm0.2$. The reconstructed source in the best-fitting model is consistent with luminosities and morphologies of $zsim8$ LBGs in the literature. The lens model yields a group mass of $9.62pm0.31times10^{11} M_{odot}$ and a stellar mass-to-light ratio for the brightest deflector galaxy of $M_{star}/L_{B}=2.3^{+0.8}_{-0.6} M_{odot}/L_{odot}$ within its effective radius. The foreground galaxies redshifts would make this one of the few strong lensing deflectors discovered at $z>1$.
