Clustering logarithms up to six loops

K. Khelifa-Kerfa

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arXiv · 2412.03244

Clustering logarithms up to six loops

K. Khelifa-Kerfa

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Abstract

We compute the leading clustering (abelian non-global) logarithms, which arise in the distribution of non-global QCD observables when final-state partons are clustered using the $k_t$ jet algorithm, up to six loops in perturbation theory. Our calculations are based on the recently introduced formula for the analytic structure of $k_t$ clustering [1]. These logarithms exhibit a pattern of exponentiation and are subsequently resummed into an exponential form. We compare this resummed result with all-orders numerical calculations.

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K. Khelifa-Kerfa. 2024-12-04. Clustering logarithms up to six loops. https://arxiv.org/abs/2412.03244

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