{"paper":{"title":"Asymptotic properties of CP violation in the Standard Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gerardo Mora, Hilario P\\'erez, Piotr Kielanowski, S. Rebeca Ju\\'arez W.","submitted_at":"2014-01-16T22:24:02Z","abstract_excerpt":"We present the analysis of the renormalization based evolution of the CP-violation observables obtained from the $C$ matrix introduced by Jarlskog. We show that the observables $\\vert\\det C\\vert$ and $\\operatorname{Tr}C^{2}$ decrease very fast with the energy and their value is reduced at the Planck's scale by 5 and 3 orders of magnitude with respect to their low energy values. On the other hand the Jarlskog's CKM matrix rephasing invariant $J$ increases with energy and at the Planck's scale is 25 % larger than at low energy. The absolute value of the coefficient $a_{CP}\\sim \\det C/(\\operatorn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4193","kind":"arxiv","version":3},"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"}