In this talk I will present details of our recent computation of the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion.
The calculation is based on an extension of the SoftSERVE framework to soft functions that involve an arbitrary number of lightlike Wilson lines. I will introduce the framework in some detail, and present numerical results for the 1- and 2-jettinesses. Finally I will comment on the asymptotic behaviour of the soft-function coefficients at the edges of phase space, when one of the jets becomes collinear to another jet or beam direction, with its implications for other observables, as well as the soft functions for higher numbers of jets.
Ankita Budhraja, Juraj Klaric, Johannes Michel, Tanjona R. Rabemananjara