N$^{\mathbf{3}}$LL + $\mathcal{O}(\alpha_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering

TL;DR

This paper develops high-precision theoretical predictions for the azimuthal angular distribution between leptons and jets in deep-inelastic scattering, combining advanced resummation with fixed-order calculations to enhance understanding of nucleon structure.

Contribution

It introduces N$^{3}$LL resummation combined with $ ext{O}( ext{alpha}_s^2)$ fixed-order corrections for lepton-jet azimuthal decorrelation in DIS, using effective theory and event generators.

Findings

Provides robust predictions for jet observables in DIS.

Enhances understanding of nucleon structure through angular correlations.

Framework applicable to HERA and future electron-ion collider data.

Abstract

We present an analysis of lepton-jet azimuthal decorrelation in deep-inelastic scattering (DIS) at next-to-next-to-next-to-leading logarithmic (N$^{3}$LL) accuracy, combined with fixed-order corrections at $\mathcal{O}(\alpha_s^2)$. In this study, jets are defined in the lab frame using the anti-$k_T$ clustering algorithm and the winner-take-all recombination scheme. The N$^{3}$LL resummation results are derived from the transverse-momentum dependent factorization formula within the soft-collinear effective theory, while the $\mathcal{O}(\alpha_s^2)$ fixed-order matching distribution is calculated using the {\tt NLOJET++} event generator. The azimuthal decorrelation between the jet and electron serves as a critical probe of the three-dimensional structure of the nucleon. Our numerical predictions provide a robust framework for precision studies of QCD and the nucleon's internal structure through jet observables in DIS. These results are particularly significant for analyses involving jets in HERA data and the forthcoming electron-ion collider experiments.