{ "id": "2107.01212", "version": "v1", "published": "2021-07-02T18:00:01.000Z", "updated": "2021-07-02T18:00:01.000Z", "title": "Resummation of Super-Leading Logarithms", "authors": [ "Thomas Becher", "Matthias Neubert", "Ding Yu Shao" ], "comment": "6 pages, 2 figures", "categories": [ "hep-ph", "hep-th" ], "abstract": "Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called non-global logarithms emerge from soft radiation emitted off energetic partons inside jets. While this is a single-logarithmic effect at lepton colliders, at hadron colliders phase factors in the amplitudes lead to double-logarithmic corrections starting at four-loop order. This effect was discovered a long time ago, but not much is known about the higher-order behavior of these terms and their process dependence. We derive, for the first time, the all-order structure of these \"super-leading logarithms\" for generic $2\\to l$ scattering processes at hadron colliders and resum them in closed form.", "revisions": [ { "version": "v1", "updated": "2021-07-02T18:00:01.000Z" } ], "analyses": { "keywords": [ "super-leading logarithms", "hadron colliders phase factors", "resummation", "energetic partons inside jets", "non-global logarithms emerge" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }