Factorization and Sudakov resummation in leptonic radiative<i>B</i>decay

Bosch, Stefan W.; Hill, Richard J.; Lange, Björn; Neubert, Matthias

doi:10.1103/physrevd.67.094014

Cited by 135 publications

(251 citation statements)

References 30 publications

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“…At leading power in Λ/m b the QCD factorization formula for the B → γ form factors can be readily derived with the SCET technique [3,4] …”

Section: Theoretical Overview Of B → γ ν Decaymentioning

confidence: 99%

“…In these respects, the radiative leptonic decay B → γ ν with an energetic photon in the final state is widely believed to provide a clean probe of the strong interaction dynamics of a heavy quark system and to put stringent constraints on the inverse moment of the leading-twist B-meson distribution amplitude (DA). Factorization properties of B → γ ν have been investigated extensively at leading power in Λ/m b with distinct QCD techniques [1,2] and with the soft-collinear effective theory (SCET) [3][4][5] which established the corresponding QCD factorization formula to all orders in perturbation theory.…”

Section: Introductionmentioning

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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“…At leading power in Λ/m b the QCD factorization formula for the B → γ form factors can be readily derived with the SCET technique [3,4] …”

Section: Theoretical Overview Of B → γ ν Decaymentioning

confidence: 99%

Section: Introductionmentioning

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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“…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.…”

mentioning

confidence: 99%

“…that is, tacitly assuming a 1/m B suppression with respect to the leading-order term in (4), and the coefficient c was varied between −1 and +1. In this letter we present an approach which allows one to estimate ξ(E γ ) to, potentially, 20% accuracy.…”

mentioning

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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“…(2) is similar to the one appearing in a factorization relation for the radiative leptonic decay B ! ' [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Factorization in exclusive semileptonic radiativeBdecays

Cirigliano

Pirjol

2005

Phys. Rev. D

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We derive a new factorization relation for the semileptonic radiative decay B ! ' in the kinematical region of a slow pion jp j and an energetic photon E , working at leading order in =m b . In the limit of a soft pion, the nonperturbative matrix element appearing in this relation can be computed using chiral perturbation theory. We present a phenomenological study of this decay, which may be important for a precise determination of the exclusive nonradiative decay.

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Factorization and Sudakov resummation in leptonic radiativeBdecay

Cited by 135 publications

References 30 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

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

Factorization in exclusive semileptonic radiativeBdecays

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