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Resummation of Glauber Phases in Non-Global LHC Observables for Large $N_c$
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abstract
The Glauber series for non-global jet observables at hadron colliders simultaneously includes the super-leading logarithms alongside an arbitrary number of Glauber phases. Building on the formalism of arXiv:2405.05305, it is shown that the leading terms in this series for large $N_c$ can be resummed in closed form in renormalization-group improved perturbation theory. This remarkable observation suggests that large-$N_c$ methods might also be helpful to study other aspects of non-global logarithms at hadron colliders, and to combine our analytic results with amplitude-level parton showers.
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Super-Leading Logarithms in $pp\to2$ Jets
Super-leading logarithms contribute about 13 percent to the LHC pp to 2 jets gap-between-jets cross section at Q0 = 10 GeV, and a q qbar interference term is only 1/Nc suppressed.
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