  We present predictions of the distribution of groomed heavy jet mass in
electron-positron collisions at the next-to-next-to-leading order accuracy
matched with the resummation of large logarithms to
next-to-next-to-next-to-leading logarithmic accuracy. Resummation at this
accuracy is possible through extraction of necessary two-loop constants and
three-loop anomalous dimensions from fixed-order codes.
