B-meson light-cone distribution amplitudes in the heavy-quark limit

Kawamura, Hiroyuki; Kodaira, Jiro; Qiao, C. F.; Tanaka, Kazuhiro

doi:10.1016/s0370-2693(01)01299-0

Cited by 154 publications

(217 citation statements)

References 20 publications

(29 reference statements)

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“…JHEP06(2017)062 49) with P indicating the principle-value prescription. The tedious expressions of the coefficient functions ρ…”

Section: The Nll Lcsr For B → D Form Factorsmentioning

confidence: 99%

“…The appeared three-particle DA of the B-meson can be defined by the position-space matrix element on the light cone [49,50] …”

Section: Jhep06(2017)062mentioning

confidence: 99%

“…The higher-twist two-particle DA of the B-meson φ − B (ω, µ 0 ) will be determined from the QCD equations of motion in the heavy quark limit [49] …”

Section: Theory Input Parametersmentioning

confidence: 99%

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Perturbative corrections to B → D form factors in QCD

Wang

Wei

Shen

et al. 2017

J. High Energ. Phys.

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We compute perturbative QCD corrections to B → D form factors at leading power in Λ/m b , at large hadronic recoil, from the light-cone sum rules (LCSR) with Bmeson distribution amplitudes in HQET. QCD factorization for the vacuum-to-B-meson correlation function with an interpolating current for the D-meson is demonstrated explicitly at one loop with the power counting scheme m c ∼ O √ Λ m b . The jet functions encoding information of the hard-collinear dynamics in the above-mentioned correlation function are complicated by the appearance of an additional hard-collinear scale m c , compared to the counterparts entering the factorization formula of the vacuum-to-B-meson correction function for the construction of B → π from factors. Inspecting the next-toleading-logarithmic sum rules for the form factors of B → D ν indicates that perturbative corrections to the hard-collinear functions are more profound than that for the hard functions, with the default theory inputs, in the physical kinematic region. We further compute the subleading power correction induced by the three-particle quark-gluon distribution amplitudes of the B-meson at tree level employing the background gluon field approach. The LCSR predictions for the semileptonic B → D ν form factors are then extrapolated to the entire kinematic region with the z-series parametrization. Phenomenological implications of our determinations for the form factors f +,0 BD (q 2 ) are explored by investigating the (differential) branching fractions and the R(D) ratio of B → D ν and by determining the CKM matrix element |V cb | from the total decay rate of B → Dµν µ .

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“…JHEP06(2017)062 49) with P indicating the principle-value prescription. The tedious expressions of the coefficient functions ρ…”

Section: The Nll Lcsr For B → D Form Factorsmentioning

confidence: 99%

“…The appeared three-particle DA of the B-meson can be defined by the position-space matrix element on the light cone [49,50] …”

Section: Jhep06(2017)062mentioning

confidence: 99%

See 1 more Smart Citation

Perturbative corrections to B → D form factors in QCD

Wang

Wei

Shen

et al. 2017

J. High Energ. Phys.

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“…[38] (see also refs. [42][43][44]) were derived two different relations between φ + and φ − on one hand and the four three parton-distribution amplitudes Ψ V , Ψ A , X A and Y A on the other hand: [33,35], because this is linked to the heavy-quark limit which does not commute with the light-cone limit.…”

Section: Jhep05(2009)091mentioning

confidence: 99%

Three-particle contributions to the renormalisation ofB-meson light-cone distribution amplitudes

Descotes-Genon

Offen

2009

J. High Energy Phys.

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We study light-cone distribution amplitudes of heavy-light systems, such as a B-meson. By an explicit computation, we determine how two-parton distribution amplitudes mix with three-parton ones at one loop: φ + is shown to mix only into itself, whereas φ − mixes with the difference of three-parton distribution amplitudes Ψ A − Ψ V . We determine the corresponding anomalous dimension and we check the gauge independence of our result by considering a general covariant gauge. Finally, we comment on some implications of our result for phenomenological models of these distribution amplitudes.

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“…The decay B → γℓν ℓ at large photon energy E γ is one of the simplest hadronic processes that can be studied using QCD factorization [1,2,3,4]. This method involves the B-meson light-cone distribution amplitude (DA) [5,6,7,8,9,10] as the main nonperturbative input at the leading order in the heavy quark expansion. The B → γℓν ℓ decay 1 is therefore best suited for determining the parameters of the B-meson DA and presents a close analog to the photon-pion transition γ * γ → π with one highly-virtual (Q 2 ) and one real photon, which is used for the determination of the pion DA.…”

Section: Introductionmentioning

confidence: 99%

Soft contribution to B→γℓνℓ and the B-meson distribution amplitude

Braun

Khodjamirian

2013

Physics Letters B

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The B → γℓν ℓ decay at large energies of the photon receives a numerically important soft-overlap contribution which is formally of the next-to-leading order in the expansion in the inverse photon energy. We point out that this contribution can be calculated within the framework of heavy-quark expansion and soft-collinear effective theory, making use of dispersion relations and quark-hadron duality. The soft-overlap contribution is obtained in a full analogy with the similar contribution to the γ * γ → π transition form factor. This result strengthens the case for using the B → γℓν ℓ decay to constrain the B-meson distribution amplitude and determine its most important parameter, the inverse moment λ B .1. The decay B → γℓν ℓ at large photon energy E γ is one of the simplest hadronic processes that can be studied using QCD factorization [1,2,3,4]. This method involves the B-meson light-cone distribution amplitude (DA) [5,6,7,8,9,10] as the main nonperturbative input at the leading order in the heavy quark expansion. The B → γℓν ℓ decay 1 is therefore best suited for determining the parameters of the B-meson DA and presents a close analog to the photon-pion transition γ * γ → π with one highly-virtual (Q 2 ) and one real photon, which is used for the determination of the pion DA. The theoretical challenges are also similar, and in both cases are mainly due to the necessity to have a quantitative control over the corrections that are subleading in the expansion parameter, 1/m b ∼ 1/(2E γ ) or 1/Q 2 , and, in general, are not factorizable. The purpose of this letter is to emphasize this connection and suggest a method to calculate the soft contribution to B → γℓν ℓ , which closely follows the technique used in γ * γ → π.A recent summary of the theory status of B → γℓν ℓ can be found in [11]. The decay amplitude1 to distinguish this important decay channel we suggest to call it photoleptonic B-decay.

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B-meson light-cone distribution amplitudes in the heavy-quark limit

Cited by 154 publications

References 20 publications

Perturbative corrections to B → D form factors in QCD

Perturbative corrections to B → D form factors in QCD

Three-particle contributions to the renormalisation ofB-meson light-cone distribution amplitudes

Soft contribution to B→γℓνℓ and the B-meson distribution amplitude

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