Resummation of clustering logarithms for non-global QCD observables
Yazid Delenda, Kamel Khelifa-Kerfa · Proceedings of XXI International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS 2013) · 2013
We address the problem of resumming leading clustering logs in QCD jet observables defined using the k t , CA and SISCone algorithms.We specifically choose the jet mass distribution as an example and calculate up to O(α 4 s ) clustering-log terms in the series expansion at single-log accuracy.These terms are found to exhibit a pattern of exponentiation and we are thus able to perform an all-orders analytical resummation for the clustering logs.We also numerically calculate the non-global logs at large N c .We show that our result for the resummation of clustering logs is a very good analytical approximation to the numerical result obtained using a specialised Monte Carlo program.