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

Shan Jin, Xiaohui Liu

We calculate the two-loop soft function for $pp\to jj$, $e^{+}{e}^{-}\to 4j$ or $ep\to 3j$ when the $N$-jettiness observable is measured. The result presented here makes up the neces…