Transverse-Energy-Energy Correlations in Deep Inelastic Scattering

TL;DR

This paper presents a highly precise calculation of the transverse-energy-energy correlation in deep-inelastic scattering, connecting it to TMD factorization and enabling detailed TMD physics studies at future colliders.

Contribution

It introduces a novel framework for calculating the transverse-energy-energy correlation in DIS using soft-collinear effective theory, with resummation up to N$^3$LL accuracy.

Findings

Validated LO and NLO distributions against full QCD calculations.

Achieved resummation up to N$^3$LL accuracy matched with NLO cross section.

Provides a new method for precise TMD physics analysis at Electron-Ion Colliders.

Abstract

Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic scattering. In the framework of soft-collinear effective theory the cross section is factorized as the convolution of the hard function, beam function, jet function and soft function in the back-to-back limit. A close connection to TMD factorization is established, as the beam function when combined with part of the soft function is identical to the conventional TMD parton distribution function, and the jet function is the second moment of the TMD fragmentation function matching coefficient. We validate our framework by comparing the obtained LO and NLO leading singular distributions to the full QCD calculations in the back-to-back limit. We report the resummed transverse-energy-energy correlation distributions up to N$^3$LL accuracy matched with the NLO cross section for the production of a lepton and two jets. Our work provides a new way to precisely study TMD physics at the future Electron-Ion Collider.