Power Corrections for N-Jettiness Subtractions at ${\cal O}(\alpha_s)$

TL;DR

This paper analytically computes next-to-leading power corrections at order alpha_s for N-jettiness subtractions in color-singlet production, improving numerical methods and understanding of power correction structures.

Contribution

It provides the complete analytic calculation of power corrections at next-to-leading order for all relevant channels, including nonlogarithmic terms, enhancing subtraction techniques.

Findings

Excellent agreement with previous numerical results.

Highlights the importance of invariant mass and rapidity dependence.

Improves understanding of power correction universality.

Abstract

We continue the study of power corrections for $N$-jettiness subtractions by analytically computing the complete next-to-leading power corrections at $\cal{O}(\alpha_s)$ for color-singlet production. This includes all nonlogarithmic terms and all partonic channels for Drell-Yan and gluon-fusion Higgs production. These terms are important to further improve the numerical performance of the subtractions, and to better understand the structure of power corrections beyond their leading logarithms, in particular their universality. We emphasize the importance of computing the power corrections differential in both the invariant mass, $Q$, and rapidity, $Y$, of the color-singlet system, which is necessary to account for the rapidity dependence in the subtractions. This also clarifies apparent disagreements in the literature. Performing a detailed numerical study, we find excellent agreement of our analytic results with a previous numerical extraction.