Abstract
We present a new semi-numerical method to compute leading hadronisation corrections to two-jet event shapes in e+e− annihilation. The formalism we present utilises the dispersive approach, where the magnitude of power corrections is controlled by suitable moments of an effective strong coupling, but it can be adapted to other methods. We focus on observables where the interplay between perturbative and non-perturbative effects is crucial in determining the power corrections. A naive treatment of power corrections for some of these observables gives rise to an unphysical behaviour in the corresponding distributions for moderate observable values, thus considerably limiting the available range to fit the non-perturbative moments. We present a universal treatment to handle such observables, based on a suitable subtraction procedure, and compare our results to the analytic result in the case of total broadening. Finally, for the first time we present predictions for the thrust major, which cannot be handled with analytic methods.
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Acknowledgments
The work of AB has been funded by the Science Technology and Facilities Council (STFC) under grant number ST/T00102X/1. The work of BKE has been funded by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 788223). RW acknowledges the hospitality of the CERN Theory Group while part of this work was performed.
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Banfi, A., El-Menoufi, B.K. & Wood, R. Interplay between perturbative and non-perturbative effects with the ARES method. J. High Energ. Phys. 2023, 221 (2023). https://doi.org/10.1007/JHEP08(2023)221
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DOI: https://doi.org/10.1007/JHEP08(2023)221