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This mechanism requires that the quadratic divergences, or tadpoles of the three gauge-theory couplings, unify at a certain scale. We verify this statement, and find that this occurs at \\Lambda_u ~ 4x10^7 GeV. The tadpole cancellation condition, together with the dilaton self-energy, fixes the value of the unified tadpole coefficient to be 1/[4 ln(\\Lambda_"},"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":"1306.0703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-04T08:50:02Z","cross_cats_sorted":[],"title_canon_sha256":"5ad0f8311d0e423dbf2217247dbfa580af09ee129a74e394b945d60dc267c256","abstract_canon_sha256":"78b1a0248c78f4e4db4e89432594d4c9a7baf1e0af49c0c6e6d3c3857aba4bc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:32.254962Z","signature_b64":"TQM47ZHmb1LB0tZnFCqWVkosKBPUcAJXAJXRac/ms/YshnMYAw1R0/zazKPjOYrhzH1kzHDmSpKF1/Mf5NxQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e56cb4a68238810ff4b16e39598066b21536d42e4b1045000937df9f4a378b1","last_reissued_at":"2026-05-18T02:44:32.254396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:32.254396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Standard Model gauge couplings from gauge-dilatation symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kosuke Odagiri","submitted_at":"2013-06-04T08:50:02Z","abstract_excerpt":"We argue that there is a spontaneously broken rotational symmetry between space-time coordinates and gauge theoretical phases. 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