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

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Abstract We compute the invariant mass of dijets produced in $$e^+ e^-$$ e + e - annihilation processes up to four loops in perturbation theory for both anti- $$k_t$$ k t and $$k_t$$ 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.