{"paper":{"title":"Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"hep-ph","authors_text":"K.G. Chetyrkin (KIT), P.A. Baikov (SINP MSU)","submitted_at":"2010-04-07T18:54:36Z","abstract_excerpt":"The old \"glue--and--cut\" symmetry of massless propagators, first established  in [1], leads ---  after reduction to master integrals is performed --- to a host of non-trivial  relations between the latter.  The relations  constrain the master integrals so tightly that  they all  can be analytically expressed in terms of only few, essentially trivial, watermelon-like integrals. As a consequence we arrive at  explicit analytical results for all master integrals appearing in the process of reduction of massless propagators  at three and four loops. The transcendental structure of the results sugg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1153","kind":"arxiv","version":2},"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"}