Abstract
We discuss cross sections for tW production in proton-proton collisions at the LHC and at higher-energy colliders with energies of up to 100 TeV. We find that, remarkably, the soft-gluon corrections are numerically dominant even at very high collider energies. We present results with soft-gluon corrections at approximate NNLO and approximate N3LO matched to complete NLO results. These higher-order corrections are large and need to be included for better theoretical accuracy and smaller scale dependence. Total cross sections as well as top-quark and W-boson transverse-momentum and rapidity distributions are presented using various recent sets of parton distribution functions.
Highlights
Soft-gluon resummation for tW productionThe formalism for soft-gluon resummation will be briefly described (see refs. [11, 13, 15, 16, 24,25,26,27,28,29,30,31,32,33,34])
In this paper we have provided theoretical predictions for the associated production of a top quark with a W boson in high-energy hadronic collisions
We have shown the high quality of the soft-gluon approximation for tW production over a very wide range of energies at hadron colliders, including very high future energies up to 100 TeV
Summary
The formalism for soft-gluon resummation will be briefly described (see refs. [11, 13, 15, 16, 24,25,26,27,28,29,30,31,32,33,34]). The resummed differential cross section in transform space is derived from the renormalization-group evolution of the soft function and the ψ/φratios in eq (2.4). The soft-gluon corrections appear in the perturbative expansion for the physical cross section in terms of plus distributions that involve logarithms of s4, i.e., [(lnk(s4/m2t ))/s4]+, where k takes values from 0 to 2n − 1 for the nth order corrections in the strong coupling, αs. These plus distributions are defined by their integrals with smooth functions f as sm ax ds lnk(s4/m2t ) s4 f (s4) =. For explicit analytical expressions at higher orders see refs. [15, 16, 25]
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