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-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.

18 pages, 1 appendix

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• Back-to-back azimuthal correlations in Z+jet events at high transverse momentum in the TMD parton branching method at next-to-leading order
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Collinear functions for QCD resummations
• Effective transverse momentum in multiple jet production at hadron colliders
• Exploring slicing variables for jet processes
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Subleading power corrections for event shape variables in $e^{+}{e}^{-}$ annihilation