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Eikonal amplitudes for three-hard legs processes at finite-N$_c$

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arxiv 2006.08758 v2 pith:LNSKMBE3 submitted 2020-06-15 hep-ph hep-th

classification hep-phhep-th
keywords amplitudeseikonalfinite-nformalismgluonslegsprocessesproduction
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We extend our previous work on scattering amplitudes [1] to hadron collisions. We provide a general formalism for the computation of eikonal amplitudes squared for the radiation of soft and energy-ordered gluons off three hard-legs at finite-N$_c$ to any order in the perturbative expansion. Examples of three-hard legs processes include vector/Higgs boson production in association with a single hard jet and dijet production in DIS. Explicit expressions for the radiation of up to four gluons are provided as an illustration of the formalism.

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  1. $V/H$+Jet Production with the Cambridge/Aachen Algorithm

    hep-ph 2026-07 conditional novelty 6.0 of 10

    C/A clustering reduces non-global and clustering logarithms relative to k_t at three loops and behaves comparably to k_t at all orders in V/H+jet jet-mass predictions.

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