  We compute the hadronic light-by-light scattering contribution to the muon
$g-2$ from the up, down, and strange-quark sector directly using lattice QCD.
Our calculation features evaluations of all possible Wick-contractions of the
relevant hadronic four-point function and incorporates several different pion
masses, volumes, and lattice-spacings. We obtain a value of
$a_\mu^{\text{Hlbl}} = 106.8(14.7) \times 10^{-11}$ (adding statistical and
systematic errors in quadrature), which is consistent with current
phenomenological estimates and a previous lattice determination. It now appears
conclusive that the hadronic light-by-light contribution cannot explain the
current tension between theory and experiment for the muon $g-2$.
