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 ref. [1], 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 ij, we find broad consistency with the prediction of the Lagrangian local-in-matter-density ansatz, with some indications of a positive Lagrangian coefficient bL multiplying the time derivative of ij. For the quadratic tidal bias (bKjavax.xml.bind.JAXBElement@5574f972), we obtain a significant detection of a negative Lagrangian tidal bias.