Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders

TL;DR

This paper computes the NNLO soft function for one massive colored particle production at hadron colliders, enhancing the precision of QCD calculations using the $N$-jettiness subtraction method.

Contribution

It provides the first calculation of the NNLO soft function for single massive colored particles, including color octet and triplet cases, for use in high-precision collider predictions.

Findings

Calculated the NNLO soft function for massive colored particles.

Presented results for color octet and triplet cases.

Discussed applications in NLO and NNLO differential calculations.

Abstract

The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We calculate this soft function for one massive colored particle production at hadron colliders. We select the color octet and color triplet cases to present the final results. We also discuss its application in NLO and NNLO differential calculations.