{"paper":{"title":"$a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\\to a_1(1260)\\ell^+\\nu_\\ell$ decay processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dan-Dan Hu, Hai-Bing Fu, Tao Zhong, Xing-Gang Wu, Zai-Hui Wu","submitted_at":"2021-07-06T17:25:18Z","abstract_excerpt":"In the paper, we investigate the moments $\\langle\\xi_{2;a_1}^{\\|;n}\\rangle$ of the axial-vector $a_1(1260)$-meson distribution amplitude by using the QCD sum rules approach under the background field theory. By considering the vacuum condensates up to dimension-six and the perturbative part up to next-to-leading order QCD corrections, its first five moments at an initial scale $\\mu_0=1~{\\rm GeV}$ are $\\langle\\xi_{2;a_1}^{\\|;2}\\rangle|_{\\mu_0} = 0.223 \\pm 0.029$, $\\langle\\xi_{2;a_1}^{\\|;4}\\rangle|_{\\mu_0} = 0.098 \\pm 0.008$, $\\langle\\xi_{2;a_1}^{\\|;6}\\rangle|_{\\mu_0} = 0.056 \\pm 0.006$, $\\langl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02758","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.02758/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}