The 1-Jettiness event shape for DIS with NNLL resummation

TL;DR

This paper introduces the 1-jettiness event shape for exclusive jet production in lepton-nucleus DIS, providing a new way to probe QCD radiation patterns and nuclear effects with NNLL resummation.

Contribution

It develops a factorization formula for 1-jettiness in DIS using SCET and performs NNLL resummation for various nuclear targets, advancing QCD and nuclear physics studies.

Findings

Quantitative predictions for 1-jettiness in DIS with different nuclei.

Demonstrates the sensitivity of 1-jettiness to nuclear effects.

Provides a framework for future collider experiments.

Abstract

We propose the use of 1-jettiness, a global event shape, for exclusive single jet production in lepton-nucleus deep inelastic scattering (DIS). We derive a factorization formula, using the Soft-Collinear Effective Theory, differential in the transverse momentum and rapidity of the jet and the 1-jettiness event shape. It provides a quantitative measure of the shape of the final-state QCD radiation in the presence of the hard jet, providing a useful powerful probe of QCD and nuclear physics. For example, one expects differences in the observed pattern of QCD radiation between large and small nuclei and these can be quantified by the 1-jettiness event shape. Numerical results are given for this new DIS event shape at leading twist with resummation at the next-to-next-to-leading logarithmic (NNLL) level of accuracy, for a variety of nuclear targets. Such studies would be ideal at a future EIC or LHeC electron-ion collider, where a range of nuclear targets are planned.