Beyond LIMD bias: a measurement of the complete set of third-order halo
  bias parameters
  We present direct measurements of cubic bias parameters of dark matter halos
from the halo-matter-matter-matter trispectrum. We measure this statistic
efficiently by cross-correlating the halo field measured in N-body simulations
with specific third-order nonlocal transformations of the initial density field
in the same simulation. Together with the recent Abidi & Baldauf (2018), these
are the first measurements of halo bias using the four-point function that have
been reported to date. We also obtain constraints on the quadratic bias
parameters. For all individual cubic parameters involving the tidal field
$\mathcal{K}_{ij}$, we find broad consistency with the prediction of the
Lagrangian local-in-matter-density ansatz, with some indications of a positive
Lagrangian coefficient $b_{\rm td}^L$ multiplying the time derivative of
$\mathcal{K}_{ij}$. For the quadratic tidal bias ($b_{K^2}$), we obtain a
significant detection of a negative Lagrangian tidal bias.
