Abstract
Abbreviated We investigate the dependence of Lyman-$\alpha$ emitter (LAE)
clustering on Lyman-$\alpha$ luminosity. We use 1030 LAEs from the MUSE-Wide
survey, 679 LAEs from MUSE-Deep, and 367 LAEs from the to-date deepest ever
spectroscopic survey, the MUSE Extremely Deep Field. All objects have
spectroscopic redshifts of $3<z<6$ and cover a large dynamic range of
Ly$\alpha$ luminosities: $40.15<(L_Ly\alpha/erg
\:s^-1)<43.35$. We apply the Adelberger et al. K-estimator as the
clustering statistic and fit the measurements with state-of-the-art halo
occupation distribution (HOD) models. From the three main data sets, we find
that the large-scale bias factor, the minimum mass to host one central LAE,
$M_min$, and (on average) one satellite LAE, $M_1$, increase weakly with
an increasing line luminosity. The satellite fractions are $łesssim10$%
($łesssim20$%) at $1\sigma$ ($3\sigma$) confidence level, supporting a
scenario in which DMHs typically host one single LAE. We next bisected the
three main samples into disjoint subsets to thoroughly explore the dependence
of the clustering properties on $L_Ly\alpha$. We report a strong
($8\sigma$) clustering dependence on $L_Ly\alpha$, where the highest
luminosity LAE subsample ($łog(L_Ly\alpha/erg
\:s^-1)\approx42.53$) clusters more strongly
($b_high=3.13^+0.08_-0.15$) and resides in more massive DMHs
($łog(M_h/h^-1M_ødot)=11.43^+0.04_-0.10$) than the
lowest luminosity one ($łog(L_Ly\alpha/erg
\:s^-1)\approx40.97$), which presents a bias of
$b_low=1.79^+0.08_-0.06$ and occupies
$łog(M_h/h^-1M_ødot)=10.00^+0.12_-0.09$ halos. We
discuss the implications of these results for evolving Ly$\alpha$ luminosity
functions, halo mass dependent Ly$\alpha$ escape fractions, and incomplete
reionization signatures.
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