Bootstrapping rapidity anomalous dimension for transverse-momentum resummation

TL;DR

This paper computes the soft function for transverse-momentum resummation at three loops using bootstrap and supersymmetric techniques, revealing a novel relation between different anomalous dimensions.

Contribution

It introduces a bootstrap-based method to calculate the soft function and anomalous dimensions for transverse-momentum resummation at three loops, with a new relation to threshold resummation.

Findings

Soft function computed up to three loops.

Rapidity anomalous dimension extracted.

Discovered relation between transverse-momentum and threshold anomalous dimensions.

Abstract

Soft function relevant for transverse-momentum resummation for Drell-Yan or Higgs production at hadron colliders are computed through to three loops in the expansion of strong coupling, with the help of bootstrap technique and supersymmetric decomposition. The corresponding rapidity anomalous dimension is extracted. An intriguing relation between anomalous dimensions for transverse-momentum resummation and threshold resummation is found.