Boosted top production: factorization and resummation for single-particle inclusive distributions

Understand

We study single-particle inclusive (1PI) distributions in top-quark pair production at hadron colliders, working in the highly boosted regime where the top-quark p_T is much larger than its mass.

• In particular, we derive a novel factorization formula valid in the small-mass and soft limits of the differential partonic cross section.
• This provides a framework for the simultaneous resummation of soft gluon corrections and small-mass logarithms, and also an efficient means of obtaining higher-order corrections to the differential cross section in this limit.
• The result involves five distinct one-scale functions, three of which arise through the subfactorization of soft real radiation in the small-mass limit.