Abstract
We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the directions of the hard partons, but also on their energy fractions. We derive the one-loop anomalous dimension of the hard functions that drives the leading-logarithmic resummation. The anomalous dimension imposes energy ordering, which simplifies the clustering sequence. We perform resummations for gap-between-jet observables defined with different jet algorithms and explain the effects of the clustering on the importance of secondary emissions and on the effective gap size.
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Acknowledgments
We thank Nicolas Schalch for comments on the manuscript. This work grew out of a one-semester visit of JH at the University of Bern. We thank Massimiliano Grazzini for arranging and supporting this visit. The work of JH is supported by the Swiss National Science Foundation (SNSF) under contract 200020_188464. TB acknowledges hospitality and support of the Erwin Schrödinger International Institute for Mathematics and Physics.
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Becher, T., Haag, J. Factorization and resummation for sequential recombination jet cross sections. J. High Energ. Phys. 2024, 155 (2024). https://doi.org/10.1007/JHEP01(2024)155
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DOI: https://doi.org/10.1007/JHEP01(2024)155