Resummation of High Order Corrections in $Z$ Boson Plus Jet Production at the LHC

TL;DR

This paper develops a resummation method for soft gluon effects in Z boson plus jet production at the LHC, achieving improved predictions that match CMS data for key observables.

Contribution

It applies transverse momentum dependent factorization to resum large logarithms at NLL accuracy in Z+jet production, providing more precise theoretical predictions.

Findings

Good agreement with CMS data for transverse momentum imbalance

Accurate azimuthal angle correlation predictions

Effective resummation of soft gluon effects at NLL

Abstract

We study the multiple soft gluon radiation effects in $Z$ boson plus jet production at the LHC. By applying the transverse momentum dependent factorization formalism, the large logarithms introduced by the small total transverse momentum of the $Z$ boson plus jet final state system, are resummed to all orders in the expansion of the strong interaction coupling at the accuracy of Next-to-Leading Logarithm(NLL). We also compare the prediction of our resummation calculation to the CMS data by employing a reweighting procedure to estimate the effect from imposing kinematic cuts on the leptons from $Z$ boson decay, and find good agreement for both the imbalance transverse momentum and the azimuthal angle correlation of the final state $Z$ boson and jet system, for $pp\to Z+jet$ production at the LHC.