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These assumptions lead to a neutrino mass spectrum with two degenerate and one massless neutrino and also constrain mixing among them. We derive possible mixing patterns following from the choices $S_\\nu=Z_2,~ Z_2\\times Z_2$ and $T_l=Z_2, ~ Z_2\\times Z_2, ~Z_3, ~Z_5$ as subgroups of $A_5$. One predicts the maximal atmo"},"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":"1606.01697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-06T11:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"c0c6904408b5c66756cc6d5afa70586cd4bb94fb18ff2c378ed85418493d3afe","abstract_canon_sha256":"bade54f20544e95e9c6b7427988346bacb1f8e0e6075a9ea8fe08ab19b646f06"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:16.202681Z","signature_b64":"7NJwxL+ii3SHySC0XADD1wuluNmGIfF60oHkAyQS/bHKTqdb3GhSLc1y59s5Xcbwxw1Grq2YmjIBhmjEHjCOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25198a502db9d514c5070cd1d6ba3b57f1f2edc3231d7b0d523a01004591d5b0","last_reissued_at":"2026-05-18T01:07:16.202182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:16.202182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neutrino masses and mixing in $A_5$ with flavour antisymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Anjan S Joshipura, Newton Nath","submitted_at":"2016-06-06T11:37:02Z","abstract_excerpt":"We discuss consequences of assuming that the (Majorana) neutrino mass matrix $M_\\nu$ and the charged lepton mass matrix $M_l$ satisfy, $S_\\nu^T M_\\nu S_\\nu=-M_\\nu~,T_l^\\dagger M_lM_l^\\dagger T_l=M_lM_l^\\dagger$ with respect to some discrete groups $S_\\nu,T_l$ contained in $A_5$. These assumptions lead to a neutrino mass spectrum with two degenerate and one massless neutrino and also constrain mixing among them. We derive possible mixing patterns following from the choices $S_\\nu=Z_2,~ Z_2\\times Z_2$ and $T_l=Z_2, ~ Z_2\\times Z_2, ~Z_3, ~Z_5$ as subgroups of $A_5$. 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