Reconstruction of non-forward evolution kernels

Belitsky, Andrei; Müller, Dieter; Freund, Andreas K.

doi:10.1016/s0370-2693(99)00837-0

Cited by 37 publications

(52 citation statements)

References 29 publications

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“…We will perform JHEP05(2018)184 resummmation of the above-mentioned large logarithms at NLL accuracy by applying the two-loop RG equation of the twist-two photon DA and by setting the factorization scale as µ ∼ m b . The NLO evolution kernel V 1 in QCD can be decomposed as follows [28][29][30] 45) where the explicit expressions of the evolution functions can be found in [29]. Symmetry properties of the RG evolution equation (3.39) imply the series expansion of the leadingtwist photon DA in terms of the Gegenbauer polynomials…”

Section: Jhep05(2018)184mentioning

confidence: 99%

Subleading-power corrections to the radiative leptonic B → γℓν decay in QCD

Wang

Shen

2018

J. High Energ. Phys.

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Applying the method of light-cone sum rules with photon distribution amplitudes, we compute the subleading-power correction to the radiative leptonic B → γ ν decay from the twist-two hadronic photon contribution at next-to-leading order in QCD; and further evaluate the higher-twist "resolved photon" corrections at leading order in α s , up to twist-four accuracy. QCD factorization for the vacuum-to-photon correlation function with an interpolating current for the B-meson is established explicitly at leading power in Λ/m b employing the evanescent operator approach. Resummation of the parametrically large logarithms of m 2 b /Λ 2 entering the hard function of the leading-twist factorization formula is achieved by solving the QCD evolution equation for the light-ray tensor operator at two loops. The leading-twist hadronic photon effect turns out to preserve the symmetry relation between the two B → γ form factors due to the helicity conservation, however, the higher-twist hadronic photon corrections can yield symmetry-breaking effect already at tree level in QCD. Using the conformal expansion of photon distribution amplitudes with the non-perturbative parameters estimated from QCD sum rules, the twist-two hadronic photon contribution can give rise to approximately 30% correction to the leading-power "direct photon" effect computed from the perturbative QCD factorization approach. In contrast, the subleading-power corrections from the higher-twist two-particle and three-particle photon distribution amplitudes are estimated to be of O(3 ∼ 5%) with the light-cone sum rule approach. We further predict the partial branching fractions of B → γ ν with a photonenergy cut E γ ≥ E cut , which are of interest for determining the inverse moment of the leading-twist B-meson distribution amplitude thanks to the forthcoming high-luminosity Belle II experiment at KEK.

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Section: Jhep05(2018)184mentioning

confidence: 99%

Subleading-power corrections to the radiative leptonic B → γℓν decay in QCD

Wang

Shen

2018

J. High Energ. Phys.

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“…From this constraint one can derive a relation between the momentum fraction kernels which reads [for details see [26]]:…”

Section: Evolution Equationmentioning

confidence: 99%

“…Taking the generic form (26) for AA G T (x, y), this differential equation and the symmetry requirements imply the following form of the gluonic addenda (the remaining degree of freedom is fixed by the diagonality of the lowest moments):…”

Section: Evolution Equationmentioning

confidence: 99%

NLO evolution kernels for skewed transversity distributions

2000

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“…The kernels at NLO were obtained in Refs. [78][79][80][81][82]. The corresponding work for transversity GPDs was published in Refs.…”

Section: Needs Assessmentmentioning

confidence: 99%

“…Various theoretical frameworks exist that take into account e.g. the target mass and finite-t corrections [71,72], the soft-collinear resummation of DVCS [64,65], higher order effects either in the coefficient function [54][55][56][57][58] or in the evolution kernel [78][79][80][81][82]. All theoretical frameworks should work all the same with a given GPD model.…”

Section: Needs Assessmentmentioning

confidence: 99%

PARTONS: PARtonic Tomography Of Nucleon Software

et al. 2018

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We describe the architecture and functionalities of a C++ software framework, coined PARTONS, dedicated to the phenomenology of Generalized Parton Distributions. These distributions describe the three-dimensional structure of hadrons in terms of quarks and gluons, and can be accessed in deeply exclusive lepto-or photo-production of mesons or photons. PARTONS provides a necessary bridge between models of Generalized Parton Distributions and experimental data collected in various exclusive production channels. We outline the specification of the PARTONS framework in terms of practical needs, physical content and numerical capacity. This framework will be useful for physicists -theorists or experimentalists -not only to develop new models, but also to interpret existing measurements and even design new experiments.

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Reconstruction of non-forward evolution kernels

Cited by 37 publications

References 29 publications

Subleading-power corrections to the radiative leptonic B → γℓν decay in QCD

Subleading-power corrections to the radiative leptonic B → γℓν decay in QCD

NLO evolution kernels for skewed transversity distributions

PARTONS: PARtonic Tomography Of Nucleon Software

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