{ "id": "2305.16393", "version": "v1", "published": "2023-05-25T18:00:25.000Z", "updated": "2023-05-25T18:00:25.000Z", "title": "Power Counting to Saturation", "authors": [ "Iain Stewart", "Varun Vaidya" ], "comment": "5 pages, 2 figures", "categories": [ "hep-ph", "nucl-th" ], "abstract": "We present a description of saturation in small x deep inelastic scattering from power counting in a top-down effective theory derived from QCD. A factorization formula isolates the universal physics of the nucleus at leading power in x. The onset of saturation is then understood as a breakdown in the expansion in an emergent power counting parameter, which is defined by the matrix element of a gauge invariant operator. We demonstrate the presence of a novel collinear-soft radiation mode, which clarifies the role played by the medium size in deciding linear/non-linear evolution of the cross section in $\\ln x$.", "revisions": [ { "version": "v1", "updated": "2023-05-25T18:00:25.000Z" } ], "analyses": { "keywords": [ "saturation", "novel collinear-soft radiation mode", "factorization formula isolates", "gauge invariant operator", "emergent power counting parameter" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }