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Imposing the correct QCD short-distance constraints, one fixes the amplitude in terms of the pion decay constant F and resonance masses. Its low momentum expansion determines then the corresponding O(p4) and O(p6) low-energy chiral couplings at NLO, keeping control of their renormalization scale dependence. At mu0=0.77 GeV, we obtain L9(mu0) = (7.9 \\pm 0.4) 10^{-3} and C88(mu0)-C90(mu0)=(-4.6 \\pm 0.4) 10^{-5}."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1011.5771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-26T12:23:45Z","cross_cats_sorted":[],"title_canon_sha256":"9a7d9a2a981d8a90abefdeea668446969588c2e4dc18ae05d0dcd0cc7e46e9c2","abstract_canon_sha256":"51bec4473eac5fb18fdba328b4e43ef455e38c92e3a37239899c16e92f08c974"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:17.474234Z","signature_b64":"BXWCj/N5Bkv4+DuFGLEME3T5DTVLXefgIhJCsjbSj80eGJMt8x8dowVGtR0K9Hkx+1AGZvdLyX7VVhW4vQX6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"702fec291078e2c7b0464984a2caefa17a206008566d742852a45ffe32db87f0","last_reissued_at":"2026-05-18T02:23:17.473601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:17.473601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Antonio Pich, Ignasi Rosell, Juan Jose Sanz-Cillero","submitted_at":"2010-11-26T12:23:45Z","abstract_excerpt":"Using the Resonance Chiral Theory Lagrangian, we perform a calculation of the vector form factor of the pion at the next-to-leading order (NLO) in the 1/N(C) expansion. 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