Power corrections to event shapes using eikonal dressed gluon exponentiation

TL;DR

This paper introduces a simplified method called Eikonal Dressed Gluon Exponentiation (EDGE) for calculating dominant power corrections to event shapes in electron-positron annihilation, potentially applicable to LHC physics.

Contribution

The paper presents a new, simplified approach to determine power corrections in event shapes using elementary calculations, extending the Dressed Gluon Exponentiation method.

Findings

EDGE accurately determines dominant power corrections.

Method simplifies calculations compared to traditional DGE.

Potential for generalization to hadronic and jet shapes at LHC.

Abstract

Event shapes are classical tools for the determination of the strong coupling and for the study of hadronization effects in electron-positron annihilation. In the context of analytical studies, hadronization corrections take the form of power-suppressed contributions to the cross-section, which can be extracted from the perturbative ambiguity of Borel-resummed distributions. We propose a simplified version of the well-established method of Dressed Gluon Exponentiation (DGE), which we call Eikonal DGE (EDGE), which determines all dominant power corrections to event shapes by means of strikingly elementary calculations. We believe our method can be generalized to hadronic event shapes and jet shapes of relevance for LHC physics.