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Comment on Implications of new physics in the decays $B_c \to (J/\psi,\eta_c)\tau\nu$
High Energy Physics - Lattice · Submitted 7 Jun 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We note that this matrix element can be determined using existing lattice QCD results.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
As part of a study BSM corrections to leptonic decays of the $B_c$ meson, Tran et al. (arXiv:1801.06927) use the covariant confining quark model (CCQM) to estimate the matrix element of the pseudo-scalar curent between the vacuum and the $B_c$ meson. We note that this matrix element can be determined using existing lattice QCD results.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | As part of a study BSM corrections to leptonic decays of the $B_c$ meson, Tran et al. (arXiv:1801.06927) use the covariant confining quark model (CCQM) to estimate the matrix element of the pseudo-scalar curent between the vacuum and the $B_c$ meson. | background 0.96 | 0.05 | 0.06 | asserted 1.00 |
| s1 | We note that this matrix element can be determined using existing lattice QCD results. | background 0.29 | 0.10 | 0.34 | hedged possibility 0.57 |
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The paper
Original abstract
As part of a study BSM corrections to leptonic decays of the $B_c$ meson, Tran et al. (arXiv:1801.06927) use the covariant confining quark model (CCQM) to estimate the matrix element of the pseudo-scalar curent between the vacuum and the $B_c$ meson. We note that this matrix element can be determined using existing lattice QCD results.
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How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 15 sentences without a confident label
Uses the method or tool of 2 papers
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The result for $f_Bc^P$ can be run to different values of $μ$ using the inverse of the running of the $MS$ quark mass [ref] .
Quark Mass Anomalous Dimension to alpha_s**4 · Lattice QCD results · 0.93
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The result for $f_Bc^P$ can be run to different values of $μ$ using the inverse of the running of the $MS$ quark mass [ref] .
The 4-loop quark mass anomalous dimension and the invariant quark mass · Lattice QCD results · 0.93
Uses data or values from 4 papers
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The value obtained is [equation] and a complete error budget is given in [ref] .
Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD · Lattice QCD results · 0.93
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We use results from [ref] for the quark masses in the $MS$ scheme at a standard scale of 3 GeV, $m_c$(3 GeV, $n_f$=4) = 0.986(6) GeV, $m_b/m_c$ = 4.51(4), $f_B_c$ from [ref] (0.427(6) GeV) and $M_B_c$ = 6.274(1) GeV from experiment [ref] .
High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD · Lattice QCD results · 1.00
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We use results from [ref] for the quark masses in the $MS$ scheme at a standard scale of 3 GeV, $m_c$(3 GeV, $n_f$=4) = 0.986(6) GeV, $m_b/m_c$ = 4.51(4), $f_B_c$ from [ref] (0.427(6) GeV) and $M_B_c$ = 6.274(1) GeV from experiment [ref] .
Observation of $B_{c}^{+} \to J/\psi D^{(*)} K^{(*)}$ decays · Lattice QCD results · 1.00
Compares with 1 paper
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The result for $f_B_c$ computed using the CCQM [ref] of 0.489 GeV is 15% larger than that obtained from the lattice QCD results discussed above.
Implications of new physics in the decays $B_c \to (J/\psi,\eta_c)\tau\nu$ · Lattice QCD results · 0.87
Cites as background 2 papers
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[ref] considers a Hamiltonian of corrections to the standard model: [equation] and works out the phenomenology for the leptonic and semi-leptonic decays of the $B_c$ meson.
Implications of new physics in the decays $B_c \to (J/\psi,\eta_c)\tau\nu$ · The pseudo-scalar matrix element · 0.93
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Lattice QCD results for the form factors of $B_c$ semileptonic decay to charmonium states are as yet preliminary [ref] but will provide a further point of comparison in future.
$B_c$ decays from highly improved staggered quarks and NRQCD · Lattice QCD results · 0.86
Discussion
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