Structure of non-global logarithms with Cambridge/Aachen clustering

2025/11/18 by Khelifa-Kerfa, K.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2511.14947

Abstract

We determine the structure of both Abelian and non-Abelian non-global logarithms up to four loops for e⁺ e^- processes in perturbative QCD, where final-state jets are defined using the Cambridge-Aachen (C/A) clustering algorithm. The calculations are performed within the soft (eikonal) approximation using strong-energy ordering of the final-state partons. The resulting expressions include full colour and complete jet-radius dependence. Compared to the anti-k_t and k_t clustering algorithms, the C/A distribution minimises the impact of these non-global logarithms, making it the preferred choice among the three algorithms.

Citations

• Jet-mass in V/H+jet up to four-loops with k_t clustering
• Hemisphere mass up to four-loops with generalised k_t algorithms
• Fully Differential Soft Gluon Evolution at the Amplitude Level
• Clustering logarithms up to six loops
• Dijet mass up to four-loops with(out) \boldsymbol k_{\boldsymbol t} clustering
• Factorization and Resummation for Sequential Recombination Jet Cross Sections
• QCD resummation for high-p_T jet shapes at hadron colliders
• Next-to-leading non-global logarithms in QCD
• Hadronization Corrections to Jet Cross Sections in Deep-Inelastic Scattering
• Longitudinally-invariant k⊥-clustering algorithms for hadron-hadron collisions
• Successive Combination Jet Algorithm For Hadron Collisions

Related

• Clustering logarithms up to six loops
• Hemisphere mass up to four-loops with generalised k_t algorithms
• Resummation of clustering logarithms for non-global QCD observables
• Analytical structure of k_t clustering to any order
• Jet-mass in V/H+jet up to four-loops with k_t clustering