Dijet mass up to four loops with(out) \({{\varvec{k}}}_{\varvec{t}}\) clustering

Abstract

We compute the invariant mass of dijets produced in \(e^+ e^-\) annihilation processes up to four loops in perturbation theory for both anti-\(k_t\) and \(k_t\) jet algorithms. The calculations, performed within the eikonal approximation and employing strong-energy ordering, capture the full analytic structure of the leading Abelian and non-Abelian non-global logarithms, including full colour and jet-radius dependence. We evaluate the significance of these logarithms and the convergence of the four loop perturbative expansion by comparing with all-orders numerical results.