{"arxiv_id":"hep-ph/9910231","incoming":{"papers":13,"sentences":16,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2004.12391","title":"RGE-induced $\\mu$-$\\tau$ symmetry breaking: an analysis of the latest T2K results","url":"/paper/2004.12391","section":"Theoretical set-up","sentence":"The evolution of neutrino mass matrix $M^_ν$ from $Λ^_μτ$ down to $Λ^_EW$ through the one-loop RGE in MSSM can be expressed as [ref]","intent_p":0.98,"contests_p":null},{"arxiv_id":"0912.3427","title":"Running effects on neutrino parameters and l_i -> l_j gamma predictions in the triplet-extended MSSM","url":"/paper/0912.3427","section":"Running of the neutrino masses and mixing matrix","sentence":"To obtain the RGE for $U$, we adopt the procedure first introduced in Ref. [ref] for the renormalisation of the Cabbibo-Kobayashi-Maskawa mixing matrix, and later used for the neutrino case [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1512.04207","title":"A review of mu-tau flavor symmetry in neutrino physics","url":"/paper/1512.04207","section":"RGE-induced $μ$-$τ$ symmetry breaking effects","sentence":"After integrating Eq. (3.79), we get [ref] [equation] at $Λ^_EW$, where $I^_τ≃Diag {1, 1, 1-Δ^_τ}$ and [equation] Given $Λ^_FS∼10^14$ GeV, for example, $I^_α$ changes from 0.9 to 0.8 and $Δ^_τ$ changes from 0.002 to 0.044 when $tanβ$ varies from 10 to 50.","intent_p":0.87,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"2512.17235","title":"Running of neutrino mass parameters in the Zee model","url":"/paper/2512.17235","section":"Introduction","sentence":"The RG equations (RGEs) for the Weinberg operator [ref] , which describes Majorana neutrino masses in SM effective field theory (SMEFT), have been calculated at 1-loop order in [ref] and recently at 2-loop order in [ref] ; phenomenological implications have been studied in [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"0810.5680","title":"Renormalization group evolution of neutrino mixing parameters near $\\theta_{13} = 0$ and models with vanishing $\\theta_{13}$ at the high scale","url":"/paper/0810.5680","section":"Introduction","sentence":"Specific features of the evolution, like the stability of mixing angles and masses [ref] , possible occurrence of fixed points [ref] , evolution of nearly degenerate Majorana neutrinos [ref] , the generation of large mixing angles from small angles at the high scale [ref] , or radiative generation of $U_e3$ starting from zero value at high scale [ref] , have been explored.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2604.00990","title":"Quantum effects on neutrino parameters from a flavored gauge boson","url":"/paper/2604.00990","section":"Introduction","sentence":"The phenomenological implications have been discussed, e.g., in [ref] , demonstrating that one-loop quantum effects can have a strong impact on scenarios with degenerate neutrinos, leading to quasi-fixed points in the infrared for the elements of the leptonic mixing matrix, and generating a mass splitting between the initially degenerate eigenvalues.","intent_p":0.84,"contests_p":null},{"arxiv_id":"1404.1413","title":"Nonzero $\\theta_{13}$ in $SO(3) \\rightarrow A_4$ lepton models","url":"/paper/1404.1413","section":"Discussion and conclusion.","sentence":"We have yet to consider the running of parameters down to the electroweak scale [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2411.08011","title":"Complete Two-loop Renormalization Group Equation of the Weinberg Operator","url":"/paper/2411.08011","section":"Introduction","sentence":"The phenomenological implications of the RGEs have been discussed in various works, see e.g. Refs. [ref] .","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":8},"outgoing":{"papers":0,"sentences":0,"groups":[],"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/hep-ph/9910231"}}