  We present state of the art resummation predictions for differential cross
sections in top-quark pair production at the LHC. They are derived from a
formalism which allows the simultaneous resummation of both soft and small-mass
logarithms, which endanger the convergence of fixed-order perturbative series
in the boosted regime, where the partonic center-of-mass energy is much larger
than the mass to the top quark. We combine such a double resummation at NNLL$'$
accuracy with standard soft-gluon resummation at NNLL accuracy and with NLO
calculations, so that our results are applicable throughout the whole phase
space. We find that the resummation effects on the differential distributions
are significant, bringing theoretical predictions into better agreement with
experimental data compared to fixed-order calculations. Moreover, such effects
are not well described by the NNLO approximation of the resummation formula,
especially in the high-energy tails of the distributions, highlighting the
importance of all-orders resummation in dedicated studies of boosted top
production.
