Subleading Corrections to High Energy Jets for W Plus Jets Production

Abstract

We define the next-to-leading logarithmic corrections to the High Energy Jets (HEJ) formalism for W plus jets production. We provide in depth analytical derivation of these subleading corrections, as well as thorough verification of their validity. This is to improve traditional fixed-order calculations that struggle to provide reliable predictions in the high energy limit due to the emergence of these
large logarithmic corrections.

Also contained within are various technical details of enhancements to HEJ that have enabled the transition from Version 1 to Version 2 and thus improvements to future predictions.

Through comparisons with experimental data from ATLAS at 7 TeV and 8 TeV collisions, we demonstrate significant improvements in our theoretical predictions, particularly in the cross-section at large transverse momenta, highlighting the enhanced predictive power of the improved HEJ framework. The refinements presented here not only strengthen our understanding of QCD in the high-energy limit but also provide a valuable tool for future experimental analyses at the LHC and beyond.