Four-loop results for the cusp anomalous dimension

We review the current status of calculations of the HQET field anomalous dimension and the cusp anomalous dimension. In particular, we give the results at 4 loops for the quartic Casimir contribution, and for the full QED case, up to $\varphi^6$ in the small angle expansion. Furthermore, we discuss the leading terms in the anti-parallel lines limit at four loops.