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QCD Light-Cone Sum Rule Estimate of Charming Penguin Contributions in B -> pi pi
High Energy Physics - Phenomenology · Submitted 17 Apr 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our result indicates that sizable nonperturbative effects generated by charming penguins at finite m_b are absent.
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The abstract, sentence by sentence
Employing the QCD light-cone sum rule approach we calculate the B -> pi pi hadronic matrix element of the current-current operator with c quarks in the penguin topology (``charming penguin''). The dominant contribution to the sum rule is due to the c-quark loop at short distances and is of O(alpha_s) with respect to the factorizable B -> pi pi amplitude. The effects of soft gluons are suppressed at least by O(alpha_s m_b^{-2}). Our result indicates that sizable nonperturbative effects generated by charming penguins at finite m_b are absent. The same is valid for the penguin contractions of the current-current operators with light quarks.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Employing the QCD light-cone sum rule approach we calculate the B -> pi pi hadronic matrix element of the current-current operator with c quarks in the penguin topology (``charming penguin''). | contribution 0.95 | 0.96 | 0.05 | asserted 0.99 |
| s1 | The dominant contribution to the sum rule is due to the c-quark loop at short distances and is of O(alpha_s) with respect to the factorizable B -> pi pi amplitude. | result 0.95 | 0.82 | 0.10 | asserted 1.00 |
| s2 | The effects of soft gluons are suppressed at least by O(alpha_s m_b^{-2}). | result 0.96 | 0.73 | 0.07 | asserted 0.97 |
| s3 | Our result indicates that sizable nonperturbative effects generated by charming penguins at finite m_b are absent. | result 0.81 | 0.93 | 0.84 | hedged possibility 0.99 |
| s4 | The same is valid for the penguin contractions of the current-current operators with light quarks. | result 0.86 | 0.68 | 0.09 | asserted 1.00 |
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The paper
Original abstract
Employing the QCD light-cone sum rule approach we calculate the B -> pi pi hadronic matrix element of the current-current operator with c quarks in the penguin topology (``charming penguin''). The dominant contribution to the sum rule is due to the c-quark loop at short distances and is of O(alpha_s) with respect to the factorizable B -> pi pi amplitude. The effects of soft gluons are suppressed at least by O(alpha_s m_b^{-2}). Our result indicates that sizable nonperturbative effects generated by charming penguins at finite m_b are absent. The same is valid for the penguin contractions of the current-current operators with light quarks.
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References
How the literature uses it
11 arXiv papers cite this in 17 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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Our results indicate that charming penguins do not generate sizable nonperturbative effects at finite m_b.
Charming penguins in B -> pi pi from QCD light-cone sum rules · 0.97
Papers citing it · 15 sentences without a confident label
Uses its method or tool 1 paper
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Furthermore, since we used analytical expressions from [ref] , certain terms of $O(s^π,K_0/m_D^2)$ are neglected, restoring them demands dedicated calculation.
QCD-based estimate of direct $CP$ asymmetry in charm decays · Results and discussion · 0.90
Cites it as background 1 paper
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Whilst the latter are still challenging to compute on the lattice, modern techniques mainly build on the topological diagram decomposition [ref] , factorization methods [ref] , and the approximate flavour symmetry of the light quarks under strong interaction [ref] .[For other alternatives, we refer the readers to Refs. [ref] for light-cone sum rules, and [ref] for long-distance final-state interactions.
QCD-factorization amplitudes from flavour symmetries: beyond the $SU(3)$ symmetric case · Introduction · 0.86
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