Speaker
Prem Agarwal
Description
The soft function is a key ingredient in the implementation of $N$-jettiness slicing. At next-to-next-to-leading order (NNLO), $N$-jettiness soft functions are known for arbitrary $N$ in the case of massless particles. We present an extension of this calculation to processes involving massive partons, thereby enabling applications to processes with top quarks, such as $t \bar t$ + jet production. Our framework enables the fully analytic cancellation of infrared and collinear singularities between the bare soft function and its renormalization matrix. As a result, we obtain a ready-to-implement expression for the renormalized soft function.