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Non-global logarithms and jet algorithms in high-\(p_{T}\) jet shapes. (English) Zbl 1309.81259
Summary: We consider jet-shape observables of the type proposed recently [S. D. Ellis et al., Phys. Lett. B 689, No. 2–3, 82–89 (2010), doi:10.1016/j.physletb.2010.04.019; S. D. Ellis et al., ibid. 2010, No. 11, Paper No. 101, 83 p. (2010; doi:10.1007/JHEP11(2010)101] where the shapes of one or more high-\(p_{T}\) jets, produced in a multi-jet event with definite jet multiplicity, may be measured leaving other jets in the event unmeasured. We point out the structure of the full next-to-leading logarithmic resummation specifically including resummation of non-global logarithms in the leading-\(N_{c}\) limit and emphasising their properties. We also point out differences between jet algorithms in the context of soft gluon resummation for such observables.

81V05 Strong interaction, including quantum chromodynamics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
jets; QCD
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