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Nonfactorizable contributions to $B$ meson decays into charmonia
High Energy Physics - Phenomenology · Submitted 4 Apr 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\to\eta_c K$, are explained.
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The abstract, sentence by sentence
We analyze the $B\to (J/\psi, \chi_{c0},\chi_{c1},\eta_c)K^{(*)}$ decays, which have small or even vanishing branching ratios in naive factorization assumption (FA). We calculate nonfactorizable corrections to FA in the perturbative QCD approach based on $k_T$ factorization theorem. The charmonium distribution amplitudes are inferred from the non-relativistic heavy quarkonium wave functions. It is found that the nonfactorizable contributions enhance the branching ratios and generate the relative phases among helicity amplitudes of the above modes. Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\to\eta_c K$, are explained. Our predictions for the $B\to (\chi_{c0},\chi_{c1},\eta_c)K^*$ decays can be compared with future data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the $B\to (J/\psi, \chi_{c0},\chi_{c1},\eta_c)K^{(*)}$ decays, which have small or even vanishing branching ratios in naive factorization assumption (FA). | background 0.71 | 0.15 | 0.04 | asserted 0.98 |
| s1 | We calculate nonfactorizable corrections to FA in the perturbative QCD approach based on $k_T$ factorization theorem. | method 0.78 | 0.95 | 0.05 | asserted 0.99 |
| s2 | The charmonium distribution amplitudes are inferred from the non-relativistic heavy quarkonium wave functions. | method 0.99 | 0.67 | 0.03 | asserted 1.00 |
| s3 | It is found that the nonfactorizable contributions enhance the branching ratios and generate the relative phases among helicity amplitudes of the above modes. | result 1.00 | 0.95 | 0.70 | asserted 1.00 |
| s4 | Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\to\eta_c K$, are explained. | result 0.87 | 0.84 | 0.60 | asserted 0.99 |
| s5 | Our predictions for the $B\to (\chi_{c0},\chi_{c1},\eta_c)K^*$ decays can be compared with future data. | future work 0.94 | 0.60 | 0.08 | hedged possibility 0.85 |
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The paper
Original abstract
We analyze the $B\to (J/\psi, \chi_{c0},\chi_{c1},\eta_c)K^{(*)}$ decays, which have small or even vanishing branching ratios in naive factorization assumption (FA). We calculate nonfactorizable corrections to FA in the perturbative QCD approach based on $k_T$ factorization theorem. The charmonium distribution amplitudes are inferred from the non-relativistic heavy quarkonium wave functions. It is found that the nonfactorizable contributions enhance the branching ratios and generate the relative phases among helicity amplitudes of the above modes. Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\to\eta_c K$, are explained. Our predictions for the $B\to (\chi_{c0},\chi_{c1},\eta_c)K^*$ decays can be compared with future data.
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References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 1 sentence without a confident label
Uses its method or tool 1 paper
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As the complete NNLO corrections, including the QCD penguin amplitudes, are still not yet at hand, we follow the approximate (and less precise) approach proposed in Ref. [ref] to neglect the vertex corrections and vary the renormalization scale $μ$ of the Wilson coefficients between $0.5 m_b$ and $1.5 m_b$.
Anatomy of the pQCD Approach to the Baryonic Decays $\Lambda_b \to p\pi, p K$ · Numerical results for $Λ_b →p π, p K$ decays · 0.99
Uses its data or values 1 paper
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Experiments on $B→J/ψK^(*)$ yield $B(B^+→J/ψK^+)=(10.14±0.34)×10^-4$, $B(B^0→J/ψK^0)=(8.71±0.32)×10^-4$, $B(B^+→J/ψK^*+)=(14.3±0.8)×10^-4$, and $B(B^0→J/ψK^*0)=(13.3±0.6)×10^-4$ [ref] , to be compared to the SM values $B(B^+→J/ψK^+)=(9.20^+6.03_-7.99)×10^-4$, $B(B^0→J/ψK^0)=(8.60^+5.63_-7.47)×10^-4$, $B(B^+→J/ψK^*+)=(9.95^+5.2_-7.16)×10^-4$, and $B(B^0→J/ψK^*+)=(9.30^+4.86_-6.69)×10^-4$ from Ref. [ref] .
Constraints on a New Light Spin-One Particle from Rare b -> s Transitions · Constraints · 0.90
Cites it as support 1 paper
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Therefore, the non-factorization contribution must be significant [ref] .
General CP Violation in Minimal Left-Right Symmetric Model and Constraints on the Right-Handed Scale · CP Violation in $B_d→J/ψK_S$ Decay: $S_J/ψK$ · 0.99
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