2012/07/19 by Yazid Delenda, Kamel Khelifa-Kerfa · 25 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cluster analysis #Distribution (mathematics) #Exponent #High-Energy Particle Collisions Research #Jet (fluid) #Limit (mathematics) #Logarithm #Mathematical analysis #Mathematics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum chromodynamics #Quantum mechanics #Resummation #Statistical physics #Statistics #hep-ph
paper · pdf · open access · doi:10.1007/jhep09(2012)109
published in Journal of High Energy Physics 2012(9) (Springer Nature) · 21 pages, 4 figures, 1 table
arxiv created 2012/07/19 · openalex publication_date 2012/09/01 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Clustering logs have been the subject of much study in recent literature. They are a class of large logs which arise for non-global jet-shape observables where final-state particles are clustered by a non-cone--like jet algorithm. Their resummation to all orders is highly non--trivial due to the non-trivial role of clustering amongst soft gluons which results in the phase-space being non-factorisable. This may therefore significantly impact the accuracy of analytical estimations of many of such observables. Nonetheless, in this paper we address this very issue for jet shapes defined using the kt and C/A algorithms, taking the jet mass as our explicit example. We calculate the coefficients of the Abelian αs2 L2, αs3 L3 and αs4 L4 NLL terms in the exponent of the resummed distribution and show that the impact of these logs is small which gives confidence on the perturbative estimate without the neglected higher-order terms. Furthermore we numerically resum the non-global logs of the jet mass distribution in the kt algorithm in the large-Nc limit.