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We obtained a relation (|v_1|/|v_2|)^2=-sin2phi_2/sin2phi_1 from this S_3 invariant Higgs potential, where v_1, v_2 and phi_1, phi_2 are vacuum pectation values and phases of S_3 doublet Higgs, respectively. This relation could be satisfied exactly by the results |v_1|/ |v_2|=0.207, phi_1=-74.9deg and phi_2=0.74deg obtained from the previous our work analyzing the quark/lepton mass and mixing in S_3 invariant Yukawa interaction. Furthermore, the relation v_S ~ v_D=sqrt{|v_1|^2+|v_2|^2}=174GeV is obtained and then"},"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":"1202.4528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-02-21T05:20:30Z","cross_cats_sorted":[],"title_canon_sha256":"4cbc46987461dc36746ba7fb7f1d72399cd3d57b490ee1f6642c183b70dff5b1","abstract_canon_sha256":"bd87d6190f39a3a5328b3d784dd5ad5b0160d8f85588f377d1a41e9917d1acbf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:52.188158Z","signature_b64":"MBk8rnzdjTighufCwN1QQaWrYt2dE5SWQ7ErHF8G2zUHVwnc8X1Q9lrjrVsKFdoynEN0DdiFlIYsHrqVPSNzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b82299b9d580d201e01757b18b350912dc68f893d7c4f36e29f497b2ae0983ab","last_reissued_at":"2026-05-18T03:22:52.187730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:52.187730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higgs potential in S_3 invariant model for quark/lepton mass and mixing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Japan), Kasugai, Tadayuki Teshima (Chubu University","submitted_at":"2012-02-21T05:20:30Z","abstract_excerpt":"We analyzed the S_3 invariant Higgs potential with S_3 singlet and doublet Higgs. 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