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Meson distribution amplitudes - applications to weak radiative B decays and B transition form factors
High Energy Physics - Phenomenology · Submitted 24 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard Model parameters of the CKM matrix, which are essential in describing CP violation, and searching for tell-tale signs of new physics beyond the Standard Model.
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The abstract, sentence by sentence
This thesis examines the applications and determinations of meson light-cone distribution amplitudes. The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard Model parameters of the CKM matrix, which are essential in describing CP violation, and searching for tell-tale signs of new physics beyond the Standard Model. We investigate the twist-2 and twist-3 distribution amplitudes of light vector mesons and fully examine $\rm SU(3)_F$-breaking effects and include leading G-parity violating terms. Numerical values of the leading non-perturbative hadronic parameters are determined from QCD sum rules. The distribution amplitude results find direct application in the radiative $B$ decays to light vector mesons $B \to V \gamma$. We examine the phenomenologically most important observables in this decay mode using the formalism of QCD factorisation. We also include long-distance photon emission and soft quark loop effects, which formally lie outside the QCD factorisation formalism. The analysis encompasses all the modes $B_{u,d} \to \rho, \omega, K^*$ and $B_{s} \to \phi, \bar{K}^*$. We also calculate the $B \to \etapb$ transition form factor using QCD sum rules on the light-cone. We include the singlet contribution originating from the $\rm U(1)_A$ anomaly and bring the calculation consistently within the $\eta$-$\etap$ mixing framework.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This thesis examines the applications and determinations of meson light-cone distribution amplitudes. | contribution 0.92 | 0.83 | 0.07 | asserted 0.93 |
| s1 | The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard Model parameters of the CKM matrix, which are essential in describing CP violation, and searching for tell-tale signs of new physics beyond the Standard Model. | background 0.98 | 0.10 | 0.08 | asserted 0.94 |
| s2 | We investigate the twist-2 and twist-3 distribution amplitudes of light vector mesons and fully examine $\rm SU(3)_F$-breaking effects and include leading G-parity violating terms. | contribution 0.97 | 0.94 | 0.07 | asserted 0.99 |
| s3 | Numerical values of the leading non-perturbative hadronic parameters are determined from QCD sum rules. | method 0.69 | 0.90 | 0.07 | asserted 1.00 |
| s4 | The distribution amplitude results find direct application in the radiative $B$ decays to light vector mesons $B \to V \gamma$. | contribution 0.88 | 0.84 | 0.12 | asserted 1.00 |
| s5 | We examine the phenomenologically most important observables in this decay mode using the formalism of QCD factorisation. | method 0.81 | 0.92 | 0.05 | asserted 0.96 |
| s6 | We also include long-distance photon emission and soft quark loop effects, which formally lie outside the QCD factorisation formalism. | contribution 0.57 | 0.90 | 0.03 | asserted 1.00 |
| s7 | The analysis encompasses all the modes $B_{u,d} \to \rho, \omega, K^*$ and $B_{s} \to \phi, \bar{K}^*$. | contribution 0.98 | 0.75 | 0.05 | asserted 1.00 |
| s8 | We also calculate the $B \to \etapb$ transition form factor using QCD sum rules on the light-cone. | contribution 0.92 | 0.95 | 0.06 | asserted 1.00 |
| s9 | We include the singlet contribution originating from the $\rm U(1)_A$ anomaly and bring the calculation consistently within the $\eta$-$\etap$ mixing framework. | contribution 0.52 | 0.93 | 0.06 | asserted 1.00 |
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The paper
Original abstract
This thesis examines the applications and determinations of meson light-cone distribution amplitudes. The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard Model parameters of the CKM matrix, which are essential in describing CP violation, and searching for tell-tale signs of new physics beyond the Standard Model. We investigate the twist-2 and twist-3 distribution amplitudes of light vector mesons and fully examine $\rm SU(3)_F$-breaking effects and include leading G-parity violating terms. Numerical values of the leading non-perturbative hadronic parameters are determined from QCD sum rules. The distribution amplitude results find direct application in the radiative $B$ decays to light vector mesons $B \to V \gamma$. We examine the phenomenologically most important observables in this decay mode using the formalism of QCD factorisation. We also include long-distance photon emission and soft quark loop effects, which formally lie outside the QCD factorisation formalism. The analysis encompasses all the modes $B_{u,d} \to \rho, \omega, K^*$ and $B_{s} \to \phi, \bar{K}^*$. We also calculate the $B \to \etapb$ transition form factor using QCD sum rules on the light-cone. We include the singlet contribution originating from the $\rm U(1)_A$ anomaly and bring the calculation consistently within the $\eta$-$\etap$ mixing framework.
Human review
How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Uses its data or values 1 paper
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The LO anomalous dimension $γ_n^∥(0)$ is given by [ref]
$Z$-boson decays to a vector quarkonium plus a photon · Appendix: Evolution of the LCDA · 0.90
What it cites · 180 sentences without a confident label
Contests 5 papers
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The resulting expansion is in $C^3/2_n(ξ)$ for $ψ^⊥,∥_3;K^*$ and $C^1/2_n(ξ)$ for $ϕ^⊥,∥_3;K^*$: [equation] [equation] [equation] [equation] These expressions supersede those given in Ref. [ref] where G-parity violating terms in $κ_3$ and $λ_3$ were not included.
Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions · Relations Between Distribution Amplitudes · contest 0.76
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Stated differently: the relative sign between $F_A,V^soft$ and $F_A,V^hard$ in [ref] is wrong because of a mismatch in sign conventions for $e$ in the covariant derivative.] In order to obtain concise expressions for $a_7L(R)^U,ann$, it proves convenient to define one more hadronic quantity: [equation] and correspondingly for other mesons. $g_L$ is $𝒪(1/m_b^2)$ as $G_V+G_A$ has the same power scaling in $m_b$ as $T_1$, i.e. $∼m_b^-3/2$, as one can read off from the explicit expressions in [ref] .
Calculation of Long-Distance Effects in Exclusive Weak Radiative Decays of B-Mesons · Long-Distance Photon Emission · contest 0.81
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Stated differently: the relative sign between $F_A,V^soft$ and $F_A,V^hard$ in [ref] is wrong because of a mismatch in sign conventions for $e$ in the covariant derivative.] In order to obtain concise expressions for $a_7L(R)^U,ann$, it proves convenient to define one more hadronic quantity: [equation] and correspondingly for other mesons. $g_L$ is $𝒪(1/m_b^2)$ as $G_V+G_A$ has the same power scaling in $m_b$ as $T_1$, i.e. $∼m_b^-3/2$, as one can read off from the explicit expressions in [ref] .
B->gamma e nu Transitions from QCD Sum Rules · Long-Distance Photon Emission · contest 0.81
Builds on 7 papers
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The analysis therein as been updated and extended to $l_b, l̃_b$ and the other particles $ρ, ω, K̅^*, ϕ$ for the present analysis [ref] .
B->V gamma Beyond QCD Factorisation · Soft Quark Loops · 0.99
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The previous LCSR determination of the $B→$ form factors presented in Ref. [ref] is completed by calculating the gluonic contribution, the mechanism for which involves the annihilation of the $B$ meson to two gluons.
New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules · Evaluation of The Sum Rules · 0.96
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As for $a_7R^U$, the dominant contributions to $a_7R^c(K^*)$ were calculated in Ref. [ref] and new to this analysis is their generalisation to the other vector mesons and the inclusion of contributions from light-quark loops.
Time-dependent CP Asymmetry in B->K* gamma as a (Quasi) Null Test of the Standard Model · Soft Quark Loops · 0.91
Uses the method or tool of 11 papers
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We perform a phenomenological analysis of these decays using the QCD factorisation framework of Bosch and Buchalla [ref] including leading power-suppressed corrections for which the updated non-perturbative distribution amplitude parameters find use.
Exclusive Radiative Decays of B Mesons in QCD Factorization · Introduction · 0.99
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We perform a phenomenological analysis of these decays using the QCD factorisation framework of Bosch and Buchalla [ref] including leading power-suppressed corrections for which the updated non-perturbative distribution amplitude parameters find use.
The Radiative Decays B -> V gamma at Next-to-Leading Order in QCD · Introduction · 0.99
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We discuss and make use of one such framework, namely that introduced by Beneke, Buchalla, Neubert and Sachrajda [ref] .
QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states · Introduction · 0.98
Uses data or values from 23 papers
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Varying all relevant parameters within their respective ranges, i.e. $Δm_b = ±0.05 GeV$, $Δa_2(1 GeV)=±0.15$ and $ΔB^g_2=±20$, as well as all twist-3 and twist-4 parameters within the ranges given in Ref. [ref] , we find [equation] The entry labelled “T4” also contains an estimate of the possible impact of the local twist-4 two-gluon matrix elements ([ref]).
Higher-Twist Distribution Amplitudes of the K Meson in QCD · Discussion · 0.91
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Moreover, the LCSR calculations of the form factors $T_1^B→V$ and the parameters entering expressions for the soft-quark contributions rely also on the higher-twist DAs of the vector mesons and thus we find immediate use for the results of the twist-2 and twist-3 DA parameters of Chapter [ref], as presented in Tab. [ref] and Tab. [ref].[The analysis presented in Ref. [ref] used preliminary input for the DA parameters, values for which were later finalised in Ref. [ref] .
Twist-3 Distribution Amplitudes of K* and phi Mesons · Radiative $B$ decays to Vector Mesons · 0.86
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Moreover, the LCSR calculations of the form factors $T_1^B→V$ and the parameters entering expressions for the soft-quark contributions rely also on the higher-twist DAs of the vector mesons and thus we find immediate use for the results of the twist-2 and twist-3 DA parameters of Chapter [ref], as presented in Tab. [ref] and Tab. [ref].[The analysis presented in Ref. [ref] used preliminary input for the DA parameters, values for which were later finalised in Ref. [ref] .
B->V gamma Beyond QCD Factorisation · Radiative $B$ decays to Vector Mesons · 0.86
Compares with 7 papers
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The new result for $f_+^η(0)$ is, within errors, in agreement with the previous one from LCSR, $f_+^η(0) = 0.275±0.036$, obtained in Ref. [ref] .
New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules · Discussion · 0.99
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The results are [equation] and agree well with the Belle result $γ=(53±20)^∘$ obtained from tree-level processes, and results from global fits [ref] .
CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories · Extraction Of CKM Parameters · 0.96
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With our central value of $γ=53^∘$ (see Tab [ref]) our result agrees very well with the BaBar result $A_I(ρ)_BaBar = 0.56±0.66$ [ref] .
Measurement of the Branching Fractions for the Decays B+ -> rho+ gamma, B0 -> rho0 gamma, and B0 -> omega gamma · Extraction Of CKM Parameters · 0.99
Cites as support 6 papers
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The effective form factors do not constitute a new and independent theoretical determination, but are derived from the experimental results for $B→K^*γ$ under the following assumptions: * there is no new physics in $B→K^*γ$;[Which is motivated by the results from inclusive $B→X_s γ$ decays [ref] .] * QCDF is valid with no systematic uncertainties; * LCSRs can reliably predict the ratio of form factors at zero momentum transfer.
Estimate of BR(B -> X_s gamma) at O(alpha_s^2) · Branching Ratios · 0.97
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It is found that the branching ratios of $B →(V,P)$ are very sensitive to $f_+^B→$ as the leading-order annihilation diagrams can be interpreted as a gluon contribution to the $B →$ form factors [ref] .
QCD factorization for B->PP and B->PV decays · Evaluation of The Sum Rules · 0.99
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It was noticed in Refs. [ref] that the chiral suppression is relaxed by emission of a gluon from the quark loop and contributes dominantly to the time-dependent CP asymmetry in $B^0→K^*0γ$, which motivates the inclusion of these contributions.
The photon polarization in B -> X gamma in the standard model · Soft Quark Loops · 0.98
Cites as background 30 papers
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The formalism of higher twist-3 and twist-4 contributions, including meson mass corrections, was investigated by Ball et al. in Refs. [ref] .
Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections · Introduction · 0.91
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The formalism of higher twist-3 and twist-4 contributions, including meson mass corrections, was investigated by Ball et al. in Refs. [ref] .
Higher-Twist Distribution Amplitudes of the K Meson in QCD · Introduction · 0.91
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The formalism of higher twist-3 and twist-4 contributions, including meson mass corrections, was investigated by Ball et al. in Refs. [ref] .
Twist-4 Distribution Amplitudes of the K$^*$ and $\phi$ Mesons in QCD · Introduction · 0.91
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