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

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.

Automated summary

In this study, we investigate the associated production of a vector or Higgs boson with a jet in hadronic collisions. When the transverse momentum of the boson jet system is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms which need to be resummed to all orders. We discuss the structure of the resummation of logarithmically enhanced contributions up to next-to-leading logarithmic accuracy and provide explicit analytical results for the resummation coefficients.