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Structure of non-global logarithms with Cambridge/Aachen clustering, by Kamel Khelifa-Kerfa

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A new study calculates non-global logarithms in perturbative QCD up to four loops for electron-positron collisions, focusing on final-state jets clustered using the Cambridge/Aachen algorithm. The research reveals that C/A clustering minimizes non-global logarithms compared to anti-kₜ and kₜ algorithms, positioning it as the optimal choice for jet definitions in high-energy physics. Calculations were performed under the soft (eikonal) approximation with strong-energy ordering of partons, specifically examining dijet invariant mass distributions with full color and jet-radius dependence. Both Abelian and non-Abelian contributions were analyzed, providing a comprehensive framework for understanding logarithmic corrections in QCD processes at high precision. The findings enhance theoretical predictions for jet observables, particularly for experiments at colliders like the LHC, where precise jet reconstruction is critical for testing QCD dynamics.
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SciPost Physics Home Authoring Refereeing Submit a manuscript About Structure of non-global logarithms with Cambridge/Aachen clustering Kamel Khelifa-Kerfa SciPost Phys. 20, 094 (2026) · published 1 April 2026 doi: 10.21468/SciPostPhys.20.4.094 pdf BiBTeX RIS Submissions/Reports 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 for the case of the dijet invariant mass. 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.4.094TI - Structure of non-global logarithms with Cambridge/Aachen clusteringPY - 2026/04/01UR - https://scipost.org/SciPostPhys.20.4.094JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 4SP - 094A1 - Khelifa-Kerfa, KamelAB - 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 for the case of the dijet invariant mass. 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.ER - × @Article{10.21468/SciPostPhys.20.4.094, title={{Structure of non-global logarithms with Cambridge/Aachen clustering}}, author={Kamel Khelifa-Kerfa}, journal={SciPost Phys.}, volume={20}, pages={094}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.4.094}, url={https://scipost.org/10.21468/SciPostPhys.20.4.094},} Disclosure of Generative AI use The author(s) disclose that the following generative AI tools have been used in the preparation of this publication Help in writing the python code. Proofreading the manuscript. Ontology / Topics See full Ontology or Topics database.

Gluons Jets Large Hadron Collider (LHC) Quantum chromodynamics (QCD) Author / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 2 3 Kamel Khelifa-Kerfa 1 جامعة أحمد زبانة - غليزان / University Ahmed Zabana of Relizane [CUR] 2 جامعة يحي فارس بالمدية / University Yahia Fares of Medea 3 جامعة حسيبة بن بوعلي -الشلف / Hassiba Benbouali University of Chlef

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