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We present direct measurements of cubic bias parameters of dark matter halosfrom the halo-matter-matter-matter trispectrum. We measure this statisticefficiently by cross-correlating the halo field measured in N-body simulationswith specific third-order nonlocal transformations of the initial density fieldin the same simulation. Together with the recent Abidi & Baldauf (2018), theseare the first measurements of halo bias using the four-point function that havebeen reported to date. We also obtain constraints on the quadratic biasparameters. For all individual cubic parameters involving the tidal field$\mathcal{K}_{ij}$, we find broad consistency with the prediction of theLagrangian local-in-matter-density ansatz, with some indications of a positiveLagrangian coefficient $b_{\rm td}^L$ multiplying the time derivative of$\mathcal{K}_{ij}$. For the quadratic tidal bias ($b_{K^2}$), we obtain asignificant detection of a negative Lagrangian tidal bias.

Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters