{ "id": "2112.05161", "version": "v2", "published": "2021-12-09T19:00:01.000Z", "updated": "2022-08-18T19:18:39.000Z", "title": "The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms", "authors": [ "Peter Arnold", "Tyler Gorda", "Shahin Iqbal" ], "comment": "54 pages, 20 figures. Chages from v1 are superficial -- mostly a slight expansion of the introduction and conclusion", "categories": [ "hep-ph", "nucl-th" ], "abstract": "Consider the in-medium splitting $g \\to gg$ of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter $\\hat q$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications).", "revisions": [ { "version": "v2", "updated": "2022-08-18T19:18:39.000Z" } ], "analyses": { "keywords": [ "analytic results", "sequential bremsstrahlung", "lpm effect", "logarithms", "transverse momentum kicks" ], "note": { "typesetting": "TeX", "pages": 54, "language": "en", "license": "arXiv", "status": "editable" } } }