Hemisphere mass up to four-loops with generalised k_t algorithms

2025/06/17 by Kamel Khelifa-Kerfa, M. Benghanem, Khelifa-Kerfa, K. +1 · 2 citations
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Digital Image Processing Techniques

paper · doi:10.48550/arxiv.2506.14415

Abstract

We compute the fixed-order distribution of the non-global hemisphere mass observable in e⁺ e^- annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the k_t and Cambridge/Aachen algorithms. Using eikonal theory and strong-energy ordering of the final-state partons, we determine the complete structure of both abelian (clustering) and non-abelian non-global logarithms through four loops in perturbation theory. We compare the resulting resummed expressions for both jet algorithms with the standard Sudakov form factor and demonstrate that neglecting these logarithms leads to unreliable phenomenological predictions for the observable's distribution.

Citations

• QCD resummation for high-p_T jet shapes at hadron colliders
• Hadronization Corrections to Jet Cross Sections in Deep-Inelastic Scattering

Cited by

• Structure of non-global logarithms with Cambridge/Aachen clustering
• Jet-mass in V/H+jet up to four-loops with k_t clustering

Related

• Dijet mass up to four-loops with(out) \boldsymbol k_{\boldsymbol t} clustering
• Structure of non-global logarithms with Cambridge/Aachen clustering
• Jet-mass in V/H+jet up to four-loops with k_t clustering
• Clustering logarithms up to six loops
• Analytical structure of k_t clustering to any order