Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production

TL;DR

This paper derives next-to-leading-logarithmic power corrections for 0-jettiness in QCD, improving the accuracy and efficiency of higher-order calculations in color-singlet production processes like Higgs production.

Contribution

It provides the first analytical calculation of NLL power corrections directly in QCD, extending previous LL results and resolving discrepancies in the literature.

Findings

NLL power corrections enhance numerical efficiency of N-jettiness subtraction.

Analytical results agree with and extend previous LL calculations.

Application to Higgs production demonstrates practical improvements.

Abstract

We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable $\mathcal{T}$. Our calculation is performed directly in QCD without using the formalism of effective field theory. We analytically calculate the next-to-leading logarithmic power corrections for small $\mathcal{T}$ at next-to-leading order in the strong coupling constant, extending previous computations which obtained only the leading-logarithmic power corrections. We address a discrepancy in the literature between results for the leading-logarithmic power corrections to a particular definition of 0-jettiness. We present a numerical study of the power corrections in the context of their application to the $N$-jettiness subtraction method for higher-order calculations, using gluon-fusion Higgs production as an example. The inclusion of the next-to-leading-logarithmic power corrections further improves the numerical efficiency of the approach beyond the improvement obtained from the leading-logarithmic power corrections.