high-energy physics phenomenology

+Jet Production with the Cambridge/Aachen Algorithm

arXiv:2607.13962

summary

The paper performs fixed‑order perturbative QCD calculations up to four loops for the invariant‑mass distribution of the leading jet produced with a vector boson or Higgs boson, using the Cambridge/Aachen jet algorithm, and compares its suppression of non‑global logarithms to other jet algorithms.

Abstract

We present fixed-order perturbative calculations up to four-loop order for a generic non-global QCD observable in hadron-hadron collisions. Specifically, we study the invariant-mass distribution of the highest- 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~\cite{Khelifa-Kerfa:2015mma, Khelifa-Kerfa:2024hwx, Khelifa-Kerfa:2024dut, Khelifa-Kerfa:2025cdn, Khelifa-Kerfa:2024udm, Khelifa-Kerfa:2025jev} examining the impact of various jet algorithms on the perturbative structure of non-global observables across different collision environments. We find that at fixed order the Cambridge/Aachen algorithm suppresses the large non-global logarithms more effectively than the anti- and algorithms, while at all orders it performs comparably to the algorithm. Furthermore, comparisons of all-orders resummed form factors reveal that finite- corrections remain at the percent level, consistent with previous findings.

15 pages, 10 figures

Topics & keywords

#jet algorithms#non-global logarithms#perturbative QCD#vector boson plus jet#Higgs plus jetCambridge/Aachen algorithmfour-loop calculationsinvariant-mass distributionfinite-Nc correctionsresummationanti‑ktk_t algorithm
$V/H$+Jet Production with the Cambridge/Aachen Algorithm · wovepaper