Out-of-plane QCD radiation in DIS with high p_t jets

TL;DR

This work analyzes out-of-plane QCD radiation in deep inelastic scattering with high-p_t jets by deriving an all-order resummed description of the cumulative K_out distribution at next-to-leading accuracy, including leading 1/Q power corrections. The approach relies on a factorized structure separating incoming parton densities from a universal radiation factor, with explicit treatment of three-jet geometry and color correlations. Fixed-order matching to DISENT calculations and non-perturbative shifts governed by alpha_0(mu_I) and the Milan factor are implemented to enhance predictive power. The results provide a framework to probe QCD dynamics in near-planar three-jet DIS, with potential applications for constraining PDFs and measuring the running coupling, as well as exploring non-perturbative effects.

Abstract

We present a QCD analysis of the cumulative out-of-event-plane momentum distribution in DIS process with emission of high p_t jets. We derive the all-order resummed result to next-to-leading accuracy and estimate the leading power correction. We aim at the same level of accuracy which, in e+e- annihilation, seems to be sufficient for making predictions. As is typical of multi-jet observables, the distribution depends on the geometry of the event and the underlying colour structure. This result should provide a powerful method to study QCD dynamics, in particular to constrain the parton distribution functions, to measure the running coupling and to search for genuine non-perturbative effects.