{"arxiv_id":"1201.3755","incoming":{"papers":14,"sentences":15,"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1901.07912","title":"Seesaw mirroring between light and heavy Majorana neutrinos with the help of the $S^{}_3$ reflection symmetry","url":"/paper/1901.07912","section":"Introduction","sentence":"In comparison, one will be left with $δ= 0$ in the limit of the flavor democracy [ref] or $S^_3$ permutation symmetry [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":8,"sentences":8,"quotes":[{"arxiv_id":"1304.6644","title":"Quark sector of S3 models: classification and comparison with experimental data","url":"/paper/1304.6644","section":"Introduction","sentence":"singlet under $S_3$ [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1212.2819","title":"Neutrino Mixing and Discrete Symmetries","url":"/paper/1212.2819","section":"Introduction","sentence":"Models based on this approach have been discussed extensively (see, e.g., [ref] for some recent works) and they often lead to intriguing mixing patterns, including the well-known tribimaximal mixing (TBM) [ref] and bimaximal mixing (BM) [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1808.02297","title":"An $S_3$ flavored left-right symmetric model of quarks","url":"/paper/1808.02297","section":"Introduction","sentence":"Such a symmetry has been explored extensively in the context of the SM gauge group [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1509.02083","title":"Fermion and scalar phenomenology of a 2-Higgs doublet model with $S_3$","url":"/paper/1509.02083","section":"Introduction","sentence":"Discrete flavor symmetries have shown a lot of promise and $S_3$, as the smallest non-Abelian group has been considerably studied in the literature since [ref] , with interesting results for quarks, leptons or both, and remains a popular group [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1511.07420","title":"A novel Randall-Sundrum model with $S_{3}$ flavor symmetry","url":"/paper/1511.07420","section":"Introduction","sentence":"It was used as a flavor symmetry for the first time by [ref] and continues to be explored since $θ_13$ was measured [ref] .","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":6},"outgoing":{"papers":13,"sentences":20,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1106.3873","title":"Broken $S_3$ Symmetry in the Neutrino Mass Matrix","url":"/paper/1106.3873","section":"Summary","sentence":"In the present work, we generalized the approach used in Ref. 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Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1201.3755"}}