{"arxiv_id":"hep-ph/0509103","incoming":{"papers":9,"sentences":28,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"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":"The contribution from gluon condensate","sentence":"Instead, in our work, we follow the method employed in Ref. [ref] , namely, directly calculate the imaginary part of the integrals in terms of the Cutkosky's rule.","intent_p":0.92,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2211.06211","title":"$K_0^\\ast(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s \\to K_0^\\ast(1430)$ Transition Form Factors","url":"/paper/2211.06211","section":"TFFs and branching fractions for the semileptonic $B_s,D_s →K_0^∗(1430)$ decays","sentence":"Then, we can calculate the differential decay widths of the semileptonic decays $B_s,D_s→K_0^∗(1430) ℓν_ℓ$ with the following formula [ref] [equation] In calculation, we take the fermi coupling constant $G_F = 1.166 ×10^-5 GeV^-2$, CKM Matrix elements $|V_ub| = (3.82 ±0.20) ×10^-3$, $|V_cd| = 0.221 ±0.004$, $m_ℓ$ denotes the lepton mass and $m_e = 0.511 ×10^-3 MeV$, $m_μ= 105.658 ×10^-3 MeV$ and $m_τ= 1776.86×10^-3 MeV$ [ref] .","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":5,"sentences":16,"quotes":[{"arxiv_id":"2501.16406","title":"Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons","url":"/paper/2501.16406","section":"INTRODUCTION","sentence":"We compare our results with available experimental data [ref] and previous predictions [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2501.15121","title":"Study on the Distribution Amplitude of the Scalar Meson $K_0^*(1430)$","url":"/paper/2501.15121","section":"Transition Form Factors in the semileptonic decay process $B_s→K$","sentence":"It can be seen that our results are consistent with those in references [ref] , further verifying the reliability of the distribution amplitude calculated in the previous section.","intent_p":0.98,"contests_p":null},{"arxiv_id":"2409.01512","title":"Probing $|V_{cs}|$ and lepton flavor universality through $D\\to K_0^\\ast(1430)\\ell\\nu_{\\ell}$ decay","url":"/paper/2409.01512","section":"Numerical Analysis","sentence":"Based on above parameters, we can get the $D→K_0^∗(1430)$ TFFs at large recoil point, which is presented in Table [ref] and the results of QCDSR [ref] , CLF [ref] , and GFM [ref] are used for comparison.","intent_p":0.99,"contests_p":null},{"arxiv_id":"2511.14165","title":"Systematic analysis of $D_{(s)}$ meson semi-leptonic decays in the covariant light-front quark model","url":"/paper/2511.14165","section":"The $D_(s)→S$ transition form factors","sentence":"It is strange that for the form factors of the transitions $D_(s)→K^*_0(1430)$ shown in Table [ref], our predictions are comparable with the results given by the LCSR [ref] and QCDSR [ref] , while the form factors of the transition $D→a_0(1450)$ obtained among these approaches exhibit considerable discrepancies.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2211.06211","title":"$K_0^\\ast(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s \\to K_0^\\ast(1430)$ Transition Form Factors","url":"/paper/2211.06211","section":"TFFs and branching fractions for the semileptonic $B_s,D_s →K_0^∗(1430)$ decays","sentence":"As a comparison, the corresponding values estimated with RQM [ref] , pQCD [ref] , three-point QCDSR [ref] , LCSR [ref] , etc., are also shown in Table [ref] and [ref].","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2211.06211","title":"$K_0^\\ast(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s \\to K_0^\\ast(1430)$ Transition Form Factors","url":"/paper/2211.06211","section":"INTRODUCTION","sentence":"In Ref. [ref] , the TFFs $f_+^B_s→K_0^∗(q^2)$ and $f_+^D_s→K_0^∗(q^2)$ are calculated by adopting the QCDSRs with three-point correlation function (correlator).","intent_p":0.81,"contests_p":null},{"arxiv_id":"2501.16406","title":"Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons","url":"/paper/2501.16406","section":"INTRODUCTION","sentence":"In literature mostly semileptonic decays to axial-vector and scalar mesons were considered within covariant light-front quark model [ref] , QCD and light-cone sum rules [ref] , Hard-Wall AdS/QCD model [ref] and SU(3) flavor symmetry [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1011.3901","title":"$B_{(s)}\\to S$ transitions in the light cone sum rules with the chiral current","url":"/paper/1011.3901","section":"Numerical calculation and discussion","sentence":"In the same picture the $B→S$ transitions have been explored in the several approaches, such as the pQCD [ref] , QCD sum rules [ref] and LCSR [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2102.05293","title":"$\\eta^{(\\prime)}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $ D_s^+ \\to\\eta^{(\\prime)}\\ell^+ \\nu_\\ell$","url":"/paper/2102.05293","section":"Introduction","sentence":"The LCSR approach is based on the operator product expansion (OPE) near the light-cone $x^2⇝0$ and parameterizes all the non-perturbative dynamics into the light-cone distribution amplitudes (LCDAs), which have been applied for dealing with many semileptonic decay processes [ref] .","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":6},"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/0509103"}}