{ "id": "2411.12742", "version": "v1", "published": "2024-11-19T18:59:58.000Z", "updated": "2024-11-19T18:59:58.000Z", "title": "Super-Leading Logarithms in $pp\\to2$ Jets", "authors": [ "Thomas Becher", "Patrick Hager", "Giuliano Martinelli", "Matthias Neubert", "Dominik Schwienbacher", "Michel Stillger" ], "comment": "12 pages, 3 figures", "categories": [ "hep-ph" ], "abstract": "Jet observables at hadron colliders feature ''super-leading'' logarithms, double-logarithmic corrections resulting from a breakdown of color coherence due to complex phases in hard-scattering amplitudes. While these effects only arise in high orders of perturbation theory and are suppressed in the large-$N_c$ limit, they formally constitute leading logarithmic corrections to the cross sections. We present the first analysis of the corresponding contributions to a hadronic cross section, including all partonic channels and interference effects. Interestingly, some interference terms in partonic $q\\bar q\\to q\\bar q$ scattering are only linearly suppressed in $1/N_c$. Our results for the $pp\\to 2$ jets gap-between-jets cross section demonstrate the numerical importance of super-leading logarithms for small values of the veto scale $Q_0$, showing that these contributions should be accounted for in precision studies of such observables.", "revisions": [ { "version": "v1", "updated": "2024-11-19T18:59:58.000Z" } ], "analyses": { "keywords": [ "super-leading logarithms", "jets gap-between-jets cross section demonstrate", "formally constitute leading logarithmic corrections", "hadron colliders feature", "hadronic cross section" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }