Analytical structure of k${}_t$ clustering to any order

Abstract

We present a general analytical expression for the fixed-order structure of the distribution of a generic non-global observable with the k${}_t$ jet algorithm at any perturbative order. This novel formulation is obtained within the framework of the Eikonal approximation, assuming strong-energy ordering of emitted partons. The proposed formula is applicable to a wide range of processes at both lepton and hadron colliders.

9 pages. Published version

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Cited by in corpus (2)

• Hemisphere mass up to four-loops with generalised $k_t$ algorithms
• Structure of non-global logarithms with Cambridge/Aachen clustering