# Two-loop $N$-jettiness soft function for $pp \to 2j$ production

## TL;DR

This paper computes the two-loop soft function for various jet production processes, enabling precise NNLO predictions using the N-jettiness subtraction scheme.

## Contribution

It provides the missing two-loop soft function calculation crucial for NNLO accuracy in N-jettiness based predictions.

## Key findings

- Two-loop soft function calculated for pp → jj, e+e- → 4j, ep → 3j.
- Enables full NNLO predictions for these processes.
- Supports N-jettiness subtraction scheme implementation.

## Abstract

We calculate the two-loop soft function for $pp \to jj$, $e^+e^- \to 4j$ or $e p \to 3j$ when the $N$-jettiness observable is measured. The result presented here makes up the necessary piece for realizing the full next-to-next-to-leading order predictions for these processes using the $N$-jettiness subtraction scheme.