Clustering logarithms up to six loops
Kamel Khelifa-Kerfa · Physical review. D/Physical review. D. · 2025
We compute the leading clustering (Abelian nonglobal) logarithms, which arise in the distribution of nonglobal 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 [.]. 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.