  We study the angle between i) the standard jet axis, ii) the axis of a jet
which has been groomed using soft drop, with reduced sensitivity to soft
radiation, iii) the jet axis obtained with the winner-take-all recombination
scheme, which is insensitive to soft radiation at leading power. We calculate
the distributions for these angles at next-to-leading logarithmic accuracy,
including non-global logarithms. The angle between the standard and groomed jet
axis directly probes soft wide-angle radiation, leading to a novel
factorization formula. This angle is also very sensitive to nonperturbative
physics, which is directly connected to nonperturbative contribution to the
rapidity anomalous dimension for transverse momentum distributions. Comparing
our predictions to Pythia we find good agreement, and we foresee applications
to jet substructure in proton-proton and heavy ion collisions.
