Photon distribution amplitudes in QCD

Ball, Patricia; Braun, Vladimir M.; Kivel, N.

doi:10.1016/s0550-3213(02)01017-9

Cited by 230 publications

(469 citation statements)

References 53 publications

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“…The collinear Wilson line with the convention of the covariant derivative To establish the hard-collinear factorization for the QCD amplitude (3.3), we further decompose the SCET operator O A,µ into the light-ray operators defining the photon DAs displayed in [16] …”

Section: 1mentioning

confidence: 99%

“…The second Gegenbauer moment of the leading-twist photon DA will be further taken as a 2 (µ 0 ) = 0.07 ± 0.07 as obtained in [16]. The magnetic susceptibility of the quark condensate χ(1 GeV) = (3.15 ± 0.3) GeV −2 computed from the QCD sum rule approach including the O(α s ) corrections [16] and the quark condensate density qq (1 GeV) = −(246 +28 −19 MeV) 3 determined by the GMOR relation [39] will be also employed for the numerical estimates in the following.…”

Section: Theory Inputsmentioning

confidence: 99%

“…Taking into account the fact that the QCD sum rule calculation of the second Gegenbauer moment of the twist-two photon DA a 2 (µ 0 ) suffers from the large theory uncertainties due to the strong sensitivity to the input parameters [16], we plot the leading-twist hadronic photon correction to the vector form factor F V (n · p) in a wide range of a 2 (µ 0 ) in figure 7. One can readily observe that the variation of the Gegenbauer moment a 2 (µ 0 ) ∈ [−0.2, 0.2] can only give rise to a minor impact on the theory prediction of the B → γ form factor F V (m B ) at maximal recoil numerically.…”

Section: Jhep05(2018)184mentioning

confidence: 99%

“…In this appendix we will collect the operator-level definitions of the two-particle and threeparticle photon DAs on the light-cone up to the twist-four accuracy as presented in [16]. Open Access.…”

Section: Jhep05(2018)184 B Higher-twist Photon Dasmentioning

confidence: 99%

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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: 1mentioning

confidence: 99%

Section: Theory Inputsmentioning

confidence: 99%

Section: Jhep05(2018)184mentioning

confidence: 99%

Section: Jhep05(2018)184 B Higher-twist Photon Dasmentioning

confidence: 99%

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

Wang

Shen

2018

J. High Energ. Phys.

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“…The first four raws in Table 4 contain the results obtained applying sum rules in different contexts: analysing the of nucleon magnetic moments and Δ → Nγ radiative transitions [47], studying photon distribution amplitudes in QCD [50] or radiative heavy meson decays [51]. Method (renormalization point) c χ Sum rules (1 GeV) [47] 3.86 ± 0.11 Sum rules (0.5 GeV) [48] 2.56 Sum rules (1 GeV) [49] 1.98 ± 0.18 Sum rules (1 GeV) [50] 1.41 ± 0.13 Sum rules (1 GeV) [51] 1.28 ± 0.22 OPE + Pion Dominance (0.5 GeV) [52] 2 Instanton vacuum (1 GeV) [53] 1.12 ± 0.07 Zero mode of Dirac Op.…”

Section: Some Facts About χmentioning

confidence: 99%

What does Holographic QCD predict for anomalous (g− 2)_μ?

Cappiello

2016

EPJ Web of Conferences

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Abstract. In this talk we discuss how holographic models of QCD have been applied to the study of the lightby-light contribution to the muon anomalous magnetic moment. After a review of the holographic procedure, we discuss the approach we followed in a previous work, in which, using a certain set of holographic model as a "Theory Space", we gave our estimate for the π 0 exchange diagram. Our result depended also on the value of the quark magnetic susceptibility. Thus, in the last part of the talk, we concentrate on the attempts which have been done in the literature to apply holographic methods to the evaluation of this important order parameter of QCD.

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