https://doi.org/10.1140/epjc/s10052-025-13837-3
Regular Article - Theoretical Physics
Dijet mass up to four loops with(out) 
clustering
Department of Physics, Faculty of Science and Technology, Relizane University, 48000, Relizane, Algeria
a
kamel.khelifakerfa@univ-relizane.dz
Received:
9
November
2024
Accepted:
20
January
2025
Published online:
3
February
2025
We compute the invariant mass of dijets produced in 
annihilation processes up to four loops in perturbation theory for both anti-
and 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.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
