The NNLO QCD soft function for 1-jettiness

Understand

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD.

• We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the next-to-leading order result.
• The calculation uses the known general forms for the emission of one and two soft partons and is performed using a sector-decomposition method that is spelled out in detail.
• Results are presented in the form of numerical fits to the 1-jettiness soft function for LHC kinematics (as a function of the angle between the incoming beams and the final-state jet) and for generic kinematics (as a function of three independent angles).