{"paper":{"title":"A multiloop improvement of non-singlet QCD evolution equations","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"S.V. Mikhailov","submitted_at":"1999-10-18T15:30:17Z","abstract_excerpt":"An approach is elaborated for calculation of \"all loop\" contributions to the non-singlet evolution kernels from the diagrams with renormalon chain insertions. Closed expressions are obtained for sums of contributions to kernels $P(z)$ for the DGLAP equation and $V(x,y)$ for the \"nonforward\" ER-BL equation from these diagrams that dominate for a large value of $b_0$, the first $\\beta$-function coefficient. Calculations are performed in the covariant $\\xi$-gauge in a MS-like scheme. It is established that a special choice of the gauge parameter $\\xi=-3$ generalizes the standard \"naive nonabelian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910389","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"}