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.
Highlights
27 Page 4 of 10The anomalous dimension and the colour operator D admit the perturbative expansions (αS, t/u, R)
We consider the associated production of a vector or Higgs boson with a jet in hadronic collisions
The situation is further complicated by the existence of the so-called Non-Global Logarithms (NGL) [21] which enter at next-to-leading logarithmic (NLL) accuracy
Summary
The anomalous dimension and the colour operator D admit the perturbative expansions (αS, t/u, R). The eikonal term on the second line, proportional to T1 · T3, may develop a final-state collinear divergence which is regularised by the jet radius, leading to a logarithmically enhanced behavior in R. This occurs for soft configurations that are both wide-angle and collinear to the jet direction. The third term is a remainder in the region inside the jet cone that is power suppressed in the R → 0 limit It follows that the resummation coefficients in b space can be directly extracted from the following dimensionally regularised integral in d = 4 − 2 dimensions of the subtracted current. For the sake of completeness, we provide the expression of the 1-loop jet functions neglecting power corrections in the jet radius R [35, 36]
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