Equality of hemisphere soft functions for $e^{+}{e}^{-}$, DIS and $pp$ collisions at $\mathcal{O}({\alpha }_s^2)$

Daekyoung Kang, Ou Z. Labun, Christopher Lee

We present a simple observation about soft amplitudes and soft functions appearing in factorizable cross sections in $ee$, $ep$, and $pp$ collisions that has not clearly been made…