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arXiv · 1803.07045

Non-global logarithms in jet and isolation cone cross sections

Marcel Balsiger·Thomas Becher·Ding Yu Shao
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Abstract

Starting from a factorization theorem in effective field theory, we derive a parton-shower equation for the resummation of non-global logarithms. We have implemented this shower and interfaced it with a tree-level event generator to obtain an automated framework to resum the leading logarithm of non-global observables in the large-$N_c$ limit. Using this setup, we compute gap fractions for dijet processes and isolation cone cross sections relevant for photon production. We compare our results with fixed-order computations and LHC measurements. We find that naive exponentiation is often not adequate, especially when the vetoed region is small, since non-global contributions are enhanced due to their dependence on the veto-region size. Since our parton shower is derived from first principles and based on renormalization-group evolution, it is clear what ingredients will have to be included to perform resummations at subleading logarithmic accuracy in the future.

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Marcel Balsiger, Thomas Becher, Ding Yu Shao. 2018-03-19. Non-global logarithms in jet and isolation cone cross sections. https://doi.org/10.1007/jhep08(2018)104

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