Resummation of Next-to-Leading Non-Global Logarithms at the LHC

Abstract

In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as non-global logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading non-global logarithms remained a challenge that we solve in this Letter using renormalization group methods in effective field theory. To achieve next-to-leading logarithmic accuracy, we implement the two-loop anomalous dimension governing the resummation of non-global logarithms into a large-$N_c$ parton shower framework, together with one-loop matching corrections. As a first application, we study the interjet energy flow in $e^{+}{e}^{-}$ annihilation into two jets. We then present, for the first time, resummed predictions at next-to-leading logarithmic accuracy for a gap-between-jets observable at hadron colliders.

13 pages, 5 figures; v2: journal version, correction in (9), updated results with improved treatment of n_f terms

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Cited by in corpus (9)

• Introduction to the PanScales framework, version 0.1
• Precision three-dimensional imaging of nuclei using recoil-free jets
• Jet veto resummation for STXS $H+$1-jet bins at aNNLL${}^{\prime }$+NNLO
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
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• Heavy Flavour Jet Substructure
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• Structure of non-global logarithms with Cambridge/Aachen clustering