Modelling light-cone distribution amplitudes from non-relativistic bound states

Bell, Guido; Feldmann, Thorsten

doi:10.1088/1126-6708/2008/04/061

Cited by 81 publications

(148 citation statements)

References 69 publications

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“…Applying the one-loop evolution equation of the B-meson DA φ − B (ω, µ) in the absence of the light-quark mass effect 39) where the renormalization kernel H (1) − (ω, ω , µ) can be found in [39,40], we can readily compute the last term of (3.38) as…”

Section: The Nll Hard and Jet Functionsmentioning

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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Section: The Nll Hard and Jet Functionsmentioning

confidence: 99%

“…which was also demonstrated to be valid from a non-relativistic toy model manifestly at NLO in the strong coupling constant [39]. With regarding to the three-particle quark-gluon DA of the B-meson, we will employ the exponential model inspired from the canonical behaviour predicted by the HQET sum rules at tree level [7] …”

Section: Theory Input Parametersmentioning

confidence: 99%

Perturbative corrections to B → D form factors in QCD

Wang

Wei

Shen

et al. 2017

J. High Energ. Phys.

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“…For instance, Z ± were computed in refs. [34,35] using a two-parton external state with on-shell quarks H = h(p)q(k), for which one obtains at leading order:…”

Section: Jhep05(2009)091mentioning

confidence: 99%

“…Working in dimensional regularisation with d = 4 − 2ε dimensions, in the Feynman gauge and in theMS scheme, one obtains from the three diagrams shown in figure 1 [34,35]:…”

Section: Jhep05(2009)091mentioning

confidence: 99%

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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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Untitled

Xiong¹

2017

Light Cone 2015

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Modelling light-cone distribution amplitudes from non-relativistic bound states

Cited by 81 publications

References 69 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

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