{"arxiv_id":"0909.4414","incoming":{"papers":15,"sentences":29,"groups":[{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1006.3307","title":"Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter","url":"/paper/1006.3307","section":"Perturbation analysis","sentence":"The following best fit values for the perturbation parameters $βt$ and $βu$ were given in the first order treatment [ref] :","intent_p":0.98,"contests_p":null}]},{"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":9,"sentences":10,"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":"1201.3755","title":"Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}","url":"/paper/1201.3755","section":"Introduction","sentence":"A large number of papers [ref] have presented detailed models based on $S_3$ symmetry.","intent_p":0.98,"contests_p":null},{"arxiv_id":"1408.0172","title":"Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix","url":"/paper/1408.0172","section":"Introduction","sentence":"There are quite a few studies about the breaking of $S_3$ symmetry in the leptonic sector [ref] to produce the current observed neutrino oscillation data.","intent_p":0.82,"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":"1904.07558","title":"Scotogenic S3 symmetric generation of realistic neutrino mixing","url":"/paper/1904.07558","section":"Introduction","sentence":"This could serve as a reasonable scenario to start with from which some models obtained realistic mixing through perturbation to such initial structures [ref] whereas in some models [ref] various GUT symmetries or extra-dimensional theories were considered to generate these initial structures and renormalization group effects at high energies were explored to obtain realistic mixing.","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":16},"outgoing":{"papers":2,"sentences":2,"groups":[{"kind":"data_used","label":"Uses data or values from","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-ph/0412300","title":"Neutrinoless double beta decay and direct searches for neutrino mass","url":"/paper/hep-ph/0412300","section":"Neutrinoless double beta decay","sentence":"The experimental bound on $|m_ee|$ is given [ref] as,","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0808.2016","title":"Three-flavour neutrino oscillation update","url":"/paper/0808.2016","section":"Analysis of favored perturbation","sentence":"The results of a recent study [ref] of neutrino oscillation experiments are: [equation] One immediately notices that the prediction, $(s_23)^2$=1/2 is unchanged from its tribimaximal value by the perturbation and agrees with the new analysis.","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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/0909.4414"}}