Transverse-momentum resummation for boson plus jet production at hadron colliders

TL;DR

This paper develops a detailed resummation framework for accurately predicting the transverse momentum distribution in boson plus jet production at hadron colliders, accounting for soft radiation and azimuthal correlations.

Contribution

It introduces a next-to-leading logarithmic resummation approach at the differential level, including jet radius dependence and azimuthal correlations, advancing precision in QCD predictions.

Findings

Explicit analytical resummation coefficients up to NLO and NLL accuracy.

Inclusion of jet radius dependence in the resummation framework.

Complete account of azimuthal correlations from soft-parton radiation.

Abstract

We consider the associated production of a vector or Higgs boson with a jet in hadronic collisions. When the transverse momentum $q_T$ of the boson-jet system is much smaller than its invariant mass $Q$, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all orders. We discuss the all-order resummation structure of the logarithmically enhanced contributions up to next-to-leading logarithmic accuracy. Resummation is performed at the differential level with respect to the kinematical variables of the boson-jet system. Soft-parton radiation produces azimuthal correlations that are fully accounted for in our framework. We present explicit analytical results for the resummation coefficients up to next-to-leading order and next-to-leading logarithmic accuracy, that include the exact dependence on the jet radius.