{"paper":{"title":"Virtual Photon Structure Functions to NNLO in QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ken Sasaki, Takahiro Ueda, Tsuneo Uematsu","submitted_at":"2008-01-18T03:43:54Z","abstract_excerpt":"The unpolarized virtual photon structure functions $F_2^\\gamma(x,Q^2,P^2)$ and $F_L^\\gamma(x,Q^2,P^2)$ are investigated in perturbative QCD for the kinematical region $\\Lambda^2 \\ll P^2 \\ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe (target) photon and $\\Lambda$ is the QCD scale parameter. In the framework of operator product expansion supplemented by the renormalization group method, the definite predictions are derived for the moments of $F_2^\\gamma(x,Q^2,P^2)$ up to the next-to-next-to-leading order (the order $\\alpha\\alpha_s$) and for the moments of $F_L^\\gamma(x,Q^2,P^2)$ u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2811","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0801.2811/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"}