Power Corrections in the N-jettiness Subtraction Scheme

TL;DR

This paper analyzes and computes power corrections in the N-jettiness subtraction scheme, demonstrating that including these corrections enhances numerical efficiency in higher-order QCD calculations for various jet processes.

Contribution

It provides explicit calculations of power corrections up to next-to-next-to-leading order for color-singlet production, improving the implementation of the N-jettiness subtraction scheme.

Findings

Leading-logarithmic power corrections are significant for numerical efficiency.

Explicit NLO and NNLO power corrections are derived for specific processes.

Including power corrections improves computational performance.

Abstract

We discuss the leading-logarithmic power corrections in the $N$-jettiness subtraction scheme for higher-order perturbative QCD calculations. We compute the next-to-leading order power corrections for an arbitrary $N$-jet process, and we explicitly calculate the power correction through next-to-next-to-leading order for color-singlet production for both $q\bar{q}$ and $gg$ initiated processes. Our results are compact and simple to implement numerically. Including the leading power correction in the $N$-jettiness subtraction scheme substantially improves its numerical efficiency. We discuss what features of our techniques extend to processes containing final-state jets.