{"paper":{"title":"Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bastian Diaz Saez, Eugene Levin","submitted_at":"2011-06-30T15:03:49Z","abstract_excerpt":"In this paper we show that the intuitive guess that the geometric scaling behaviour should be violated in the case of the running QCD coupling, turns out to be correct. The scattering amplitude of the dipole with the size $r$ depends on new dimensional scale: $\\Lambda_{QCD}$, even at large values $Y = \\ln(1/x)$ and $l\\,=\\, \\ln\\Lb \\as\\Lb r^2\\Rb/\\as\\Lb 1/Q^2_s\\Rb\\Rb$. However, in this region we found a new scaling behaviour: the amplitude is a function of $\\zeta = Y\\,l$. We state that only in the vicinity of the saturation scale $Q_s$ ($\\as(Q^2_s)\\,\\ln \\Lb r^2 Q^2_s\\Rb\\,\\leq \\, 1$), the amplitud"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6257","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}