{"arxiv_id":"2604.01782","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":29,"sentences":68,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":3,"sentences":6,"quotes":[{"arxiv_id":"hep-ph/0306306","title":"Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model","url":"/paper/hep-ph/0306306","section":"RELATIVISTIC QUARK MODEL","sentence":"This matrix element in the quasipotential approach is expressed [ref] through the overlap integral of the initial $J/ψ$ and final $D_(s)$ meson wave functions $Ψ_Mp_M$ ($M=J/ψ$ or $D_(s)$), which are projected on the positive energy states and boosted to the moving reference frame with the three-momentum $p_M$ [equation] Here the vertex function $Γ=Γ^(1)+Γ^(2)$ contains two contributions.","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-ph/0210381","title":"Properties of heavy quarkonia and B_c mesons in the relativistic quark model","url":"/paper/hep-ph/0210381","section":"RELATIVISTIC QUARK MODEL","sentence":"The resulting quasipotential is given by [ref] [equation] where $α_s$ is the QCD coupling constant, $D_μν$ is the gluon propagator in the Coulomb gauge, $k=p-q$, and $γ_μ$ and $u(p)$ are the Dirac matrices and spinors, respectively.","intent_p":0.86,"contests_p":null},{"arxiv_id":"hep-ph/9409309","title":"QCD Factors a1 and a2 Beyond Leading Logarithms Versus Factorization in Non-Leptonic Heavy Meson Decays","url":"/paper/hep-ph/9409309","section":"INTRODUCTION","sentence":"Therefore, for the description of such processes, we use the approximation of the infinite number of colors ($N_c→∞$) proposed in Ref [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":3,"sentences":3,"quotes":[{"arxiv_id":"0910.5612","title":"Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model","url":"/paper/0910.5612","section":"Decay form factors","sentence":"For the numerical evaluation of the decay form factors we use the meson wave functions obtained in calculating their mass spectra [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"0903.5183","title":"Mass spectra and Regge trajectories of light mesons in the relativistic quark model","url":"/paper/0903.5183","section":"Decay form factors","sentence":"For the numerical evaluation of the decay form factors we use the meson wave functions obtained in calculating their mass spectra [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"1606.05521","title":"Higher-order Wilson coefficients for c $\\to$ u transitions in the Standard Model","url":"/paper/1606.05521","section":"Nonleptonic decays","sentence":"Using the values of Wilson coefficients [ref] at the scale $μ=m_c$, we get the following values of $a_1=1.27$ and $a_2=-0.52$.","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":7,"sentences":25,"quotes":[{"arxiv_id":"0707.1138","title":"The transition form factors for semi-leptonic weak decays of $J/\\psi$ in QCD sum rules","url":"/paper/0707.1138","section":"Branching fractions","sentence":"For $J/ψ→D^-e^+ν_e$ and $J/ψ→D^-μ^+ν_μ$ our results are in a good agreement with LQCD and CCQM theoretical predictions of Refs. [ref] and agree within 2$σ$ with BS and QCDSR in Refs. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2506.21902","title":"Polarization observables in semileptonic $V\\to P$ decays of quarkonia","url":"/paper/2506.21902","section":"Branching fractions","sentence":"For $J/ψ→D^-e^+ν_e$ and $J/ψ→D^-μ^+ν_μ$ our results are in a good agreement with LQCD and CCQM theoretical predictions of Refs. [ref] and agree within 2$σ$ with BS and QCDSR in Refs. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1604.03298","title":"Weak Decays of $J/\\psi$ and $\\Upsilon(1S)$","url":"/paper/1604.03298","section":"Branching fractions","sentence":"For $J/ψ→D^-e^+ν_e$ and $J/ψ→D^-μ^+ν_μ$ our results are in a good agreement with LQCD and CCQM theoretical predictions of Refs. [ref] and agree within 2$σ$ with BS and QCDSR in Refs. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2407.13568","title":"First lattice QCD calculation of $J/\\psi$ semileptonic decay containing $D$ and $D_s$ particles","url":"/paper/2407.13568","section":"Branching fractions","sentence":"For $J/ψ→D^-e^+ν_e$ and $J/ψ→D^-μ^+ν_μ$ our results are in a good agreement with LQCD and CCQM theoretical predictions of Refs. [ref] and agree within 2$σ$ with BS and QCDSR in Refs. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0903.1201","title":"Effects of Flavor Dependence on Weak Decays of J/psi and \\Upsilon","url":"/paper/0903.1201","section":"Branching fractions","sentence":"In Table [ref] we compare our results for the $J/ψ$ semileptonic decay branching fractions with the available experimental data [ref] and previous theoretical predictions [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2603.22082","title":"Mini-review of charmonium weak decays at BESIII","url":"/paper/2603.22082","section":"INTRODUCTION","sentence":"The recent review of experimental data and theoretical predictions is given in Ref. [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":33},"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/2604.01782"}}