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V/H+jet production with the Cambridge/Aachen algorithm

K. Khelifa-Kerfa*

  • Department of Physics and Materials Sciences, College of Arts and Sciences, Qatar University, P.O. Box 2713, Doha, Qatar; Department of Physics, Faculty of Science and Technology, Relizane University, Relizane 48000, Algeria; Laboratory of Physics of Experimental Techniques and Applications, University of Medea, Medea 26000, Algeria; Laboratory of Thin Layers and Advanced Technologies, Relizane University, Relizane 48000, Algeria and Laboratory of Mathematics and Applications, University of Chlef, Chlef 02000, Algeria

  • *Contact author: kkerfa@qu.edu.qa
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Phys. Rev. D 114, 074051 – Published 26 October, 2026

DOI: https://doi.org/10.1103/gzgr-gf82

Abstract

We present fixed-order perturbative calculations up to four-loop order for a generic nonglobal QCD observable in hadron-hadron collisions. Specifically, we study the invariant-mass distribution of the highest-pt jet produced in association with a vector boson or a Higgs boson, where jets are defined using the Cambridge/Aachen sequential recombination algorithm. This work is part of a series of papers [K. Khelifa-Kerfa and Y. Delenda, J. High Energy Phys. 03 (2015) 094; K. Khelifa-Kerfa, Eur. Phys. J. C 85, 133 (2025); K. Khelifa-Kerfa, Phys. Rev. D 111, 094018 (2025); K. Khelifa-Kerfa and M. Benghanem, Eur. Phys. J. C 85, 845 (2025); K. Khelifa-Kerfa, J. High Energy Phys. 10 (2024) 079; K. Khelifa-Kerfa and M. Benghanem, J. High Energy Phys. 02 (2026) 009.]examining the impact of various jet algorithms on the perturbative structure of nonglobal observables across different collision environments. We find that, at fixed order, the Cambridge/Aachen algorithm typically suppresses the large nonglobal logarithms more effectively than the anti-kt and kt algorithms; a notable exception occurs at four-loop order for the purely gluonic channel gg→gH, for which the combined clustering and nonglobal logarithm contribution in Cambridge/Aachen clustering exceeds that of kt over a wide range of jet radii. At all orders, the Cambridge/Aachen algorithm performs comparably to the kt algorithm. Furthermore, comparisons of all-orders resummed form factors reveal that finite-Nc corrections remain at the percent level, consistent with previous findings.

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Phys. Rev. D 114, 074051– Published 26 October, 2026
  • Received 18 July 2026
  • Accepted 6 October 2026
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