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The $B_c\rightarrow D^{(*)}T$ decays in perturbative QCD approach
High Energy Physics - Phenomenology · Submitted 21 Aug 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the annihilation amplitudes are dominant in these decays due to the large Cabibbo-Kobayashi-Maskawa elements, which are only calculable in the pQCD approach.
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The abstract, sentence by sentence
In this work, we investigate those $B_{c}\rightarrow D^{(*)}T$ decays in perturbative QCD approach, based on $k_T$ factorization, where T denotes a light tensor meson. For all decays considered in this work, there are no contributions from factorizable emission diagrams because the emitted meson is the tensor meson. We find that the annihilation amplitudes are dominant in these decays due to the large Cabibbo-Kobayashi-Maskawa elements, which are only calculable in the pQCD approach. The numerical results show that the predictions for the branching ratios of most decays are in the order of $10^{-6}$ or even bigger, which can be observed in the ongoing experiments. We also predict large percentage of transverse polarizations in those W annihilation diagram dominant $B_{c} \rightarrow D^{*}T$ decay channels.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this work, we investigate those $B_{c}\rightarrow D^{(*)}T$ decays in perturbative QCD approach, based on $k_T$ factorization, where T denotes a light tensor meson. | contribution 0.99 | 0.88 | 0.05 | asserted 0.93 |
| s1 | For all decays considered in this work, there are no contributions from factorizable emission diagrams because the emitted meson is the tensor meson. | result 0.86 | 0.51 | 0.07 | asserted 1.00 |
| s2 | We find that the annihilation amplitudes are dominant in these decays due to the large Cabibbo-Kobayashi-Maskawa elements, which are only calculable in the pQCD approach. | result 0.93 | 0.95 | 0.39 | asserted 1.00 |
| s3 | The numerical results show that the predictions for the branching ratios of most decays are in the order of $10^{-6}$ or even bigger, which can be observed in the ongoing experiments. | result 0.98 | 0.94 | 0.30 | asserted 0.98 |
| s4 | We also predict large percentage of transverse polarizations in those W annihilation diagram dominant $B_{c} \rightarrow D^{*}T$ decay channels. | result 1.00 | 0.94 | 0.18 | asserted 0.99 |
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The paper
Original abstract
In this work, we investigate those $B_{c}\rightarrow D^{(*)}T$ decays in perturbative QCD approach, based on $k_T$ factorization, where T denotes a light tensor meson. For all decays considered in this work, there are no contributions from factorizable emission diagrams because the emitted meson is the tensor meson. We find that the annihilation amplitudes are dominant in these decays due to the large Cabibbo-Kobayashi-Maskawa elements, which are only calculable in the pQCD approach. The numerical results show that the predictions for the branching ratios of most decays are in the order of $10^{-6}$ or even bigger, which can be observed in the ongoing experiments. We also predict large percentage of transverse polarizations in those W annihilation diagram dominant $B_{c} \rightarrow D^{*}T$ decay channels.
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How the literature uses it
6 arXiv papers cite this in 6 sentences
Papers citing it · 1 sentence without a confident label
Uses its method or tool 1 paper
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[ref] , the new defined vector is proportional to the polarization vector of the vector mesons with the coefficients $√(2/3)$ and $√(1/2)$ for the longitudinal and transverse polarizations, respectively.
Study of Quasi-two-body $B_{(s)}\to \phi (f_0(980)/f_2(1270)\to)\pi\pi$ Decays in Perturbative QCD Approach · Decay Formalism · 0.93
Cites it as background 4 papers
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For the initial $B$ meson and the final $D$ meson, their wave functions have been well determined and adopted widely in the studies of two-body $B_(s)→PP,PV,VV$ [ref] and $B_(s)→DP,DV,DS,DT$ [ref] decays and other decay processes [ref] , and we will not discuss them any more in this paper.
Analysis of CKM-Favored Quasi-Two-Body $B \to D (R\to) K \pi$ Decays in PQCD Approach · The Decay Formalism and Wave Function · 0.85
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In the past few years, the decays involving a scalar meson or a tensor meson in final states have been already explored in different approaches, such as the generalized factorization approach [ref] , QCD factorization (QCDF) [ref] and perturbative QCD approach (PQCD) [ref] .
Calculation of the $B\to K_{0,2}^*(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach · Introduction · 0.91
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There are already a few investigations on the $B$ to a pseudoscalar and a tensor [ref] as well as a charmed meson and a tensor meson decays [ref] .
Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach · Introduction · 0.93
What it cites · 1 sentence without a confident label
Uses the method or tool of 1 paper
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In this paper, we shall study these $B_c→D^(*)T$ decays in the PQCD approach, which is based on the $k_T$ factorization [ref] .
Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach · Introduction · 0.97
Cites as support 2 papers
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We know that factorizable amplitude proportional to matrix element $<T|j^μ|0>$ ,where $j^μ$ is the $(V±A)$ or $(S±P)$ current, does not contribute because this matrix element vanishes from lorentz covariance considerations [ref] , so these $B_c→D^(*)T$ decays are prohibited in naive factorization.
Charmless Hadronic Decays of B Mesons to a Pseudoscalar and a Tensor Meson · Introduction · 0.96
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We know that factorizable amplitude proportional to matrix element $<T|j^μ|0>$ ,where $j^μ$ is the $(V±A)$ or $(S±P)$ current, does not contribute because this matrix element vanishes from lorentz covariance considerations [ref] , so these $B_c→D^(*)T$ decays are prohibited in naive factorization.
Clustering, Anisotropy, Spectra of Ultra High Energy Cosmic Ray: Finger-prints of Relic Neutrinos Masses in Dark Halos · Introduction · 0.96
Cites as background 1 paper
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In recent years, many theoretical studies on the production and decays of $B_c$ meson have been done based on Operator Production Expansion [ref] , nonrelativistic QCD (NRQCD) and perturbative methods [ref] , QCD sum rules [ref] , SU(3) flavor symmetry [ref] , Isgur-Scora-Grinstein-Wise (ISGW) quark model [ref] , QCD factorization approach [ref] , and the perturbative QCD (PQCD) approach [ref] .
The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach · Introduction · 0.99
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