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

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-toleading 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.

Back-to-back azimuthal correlations in $$\mathrm {Z} +$$jet events at high transverse momentum in the TMD parton branching method at next-to-leading order

“…Theoretical predictions for Z boson + jet production including soft gluon resummation have recently been given in Refs. [10][11][12][13][14][15][16].…”

Boson-jet and jet-jet azimuthal correlations at high transverse momenta

“…When a boson and a jet, or two jets, recoil nearly back-to-back, reliable QCD predictions call for soft-gluon resummation of Sudakov processes -see recent studies of Refs. [8][9][10][11][12][13][14] in the boson-jet case and Refs. [15][16][17][18] in the di-jet case.…”

High-$p_T$ Azimuthal Correlations of Z+jet and Multi-jet Production

“…The resummation of soft multi-gluon emissions in this region allows the probing of initial state parton transverse momenta, described by transverse momentum-dependent (TMD) parton distribution functions (PDFs) [10]. Recent theoretical predictions for boson + jet production, including soft gluon resummation, have been presented [11][12][13].…”