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Perturbative QCD Correction to the Light-Cone Sum Rule for the $B^*B\pi $ and $D^*D\pi$ Couplings
High Energy Physics - Phenomenology · Submitted 20 Mar 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We obtain $g_{B^*B\pi}= 22\pm 7$ and $g_{D^*D\pi}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty.
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The abstract, sentence by sentence
The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. The result is used for a first next-to-leading order analysis. We obtain $g_{B^*B\pi}= 22\pm 7$ and $g_{D^*D\pi}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. | contribution 0.90 | 0.94 | 0.06 | asserted 0.96 |
| s2 | The result is used for a first next-to-leading order analysis. | contribution 0.71 | 0.82 | 0.05 | asserted 0.99 |
| s3 | We obtain $g_{B^*B\pi}= 22\pm 7$ and $g_{D^*D\pi}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty. | result 1.00 | 0.97 | 0.91 | asserted 1.00 |
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The paper
Original abstract
The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. The result is used for a first next-to-leading order analysis. We obtain $g_{B^*B\pi}= 22\pm 7$ and $g_{D^*D\pi}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty.
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References
How the literature uses it
9 arXiv papers cite this in 25 sentences
Papers citing it · 15 sentences without a confident label
Contests it 1 paper
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The gluon radiative correction to the twist-2 term of LCSR calculated in [ref] did not remove this discrepancy.
The $D^*D \pi$ and $B^*B\pi$ couplings from light-cone sum rules · Introduction · contest 0.71
Uses its method or tool 1 paper
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The derivation of the double spectral density for the NLO corrections in the dispersion relation is following the prescriptions in [ref] , after that we verify the factorization scale independence of the leading power LCSRs for the strong coupling constants $g_HHV$ up to $O(α_s^2)$.
Precision calculations of the $D_{(s)}D_{(s)}V$ and $B_{(s)}B_{(s)}V$ couplings from light-cone sum rules · Introduction · 0.98
Uses its data or values 2 papers
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We will adopt the nonperturbative determination of this low-energy constant from the NLO LCSR computations with the pion distribution amplitudes $ĝ_eff=0.30 ±0.02$ [ref] (see also [ref] for the earlier analyses in the same framework).
Precision calculations of $B_{d, s} \to \pi, K$ decay form factors in soft-collinear effective theory · Numerical predictions for the $B_d, s →π, K$ form factors · 0.98
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In addition, we use the $B^*Bπ$ coupling [ref] [equation] as well as the completeness relations [equation]
Revisiting $B \to \pi\pi \ell \nu$ at Large Dipion Masses · Analyticity Constraints · 0.83
Compares with it 2 papers
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The expression for twist-2 part exactly matches the one given in [ref] , whereas the expression of the twist-3 NLO correction ([ref]) obtained in the $MS$ scheme is a new result.
The $D^*D \pi$ and $B^*B\pi$ couplings from light-cone sum rules · Quark-hadron duality and the sum rule · 0.85
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[ref] ), and are much larger than the results inferred from light cone QCD sum rules [ref] , but compatible with the experimentally extracted $g = 0.59(7)$ [ref] .
Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD · Comparisons of integrated quantities · 0.95
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