Light-cone distribution amplitudes of light mesons with QED effects

Beneke, Μ.; Böer, Philipp; Toelstede, Jan-Niklas; Vos, Kimberley

doi:10.1007/jhep11(2021)059

Cited by 17 publications

(37 citation statements)

References 23 publications

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“…Despite being numerically small, the findings of this paper are of conceptual importance, and show the consistency of the treatment of QED effects. Together with [6,7,19], this work completes the analysis of QED factorization in non-leptonic B decays at scales greater than a few times Λ QCD at the one-loop level. Below these scales, the soft functions discussed in this article together with the light-meson LCDAs studied in [7] need to be matched nonperturbatively onto an effective theory of ultrasoft photons coupling to infinitely heavy, but boosted ultra-relativistic point-like mesons.…”

Section: Discussionsupporting

confidence: 52%

“…Together with [6,7,19], this work completes the analysis of QED factorization in non-leptonic B decays at scales greater than a few times Λ QCD at the one-loop level. Below these scales, the soft functions discussed in this article together with the light-meson LCDAs studied in [7] need to be matched nonperturbatively onto an effective theory of ultrasoft photons coupling to infinitely heavy, but boosted ultra-relativistic point-like mesons. (In the case of a final-state lepton instead of meson, the matching is of course perturbative.)…”

Section: Discussionsupporting

confidence: 52%

“…The form of (C.3) is equivalent to the soft approximation of the light-meson LCDA near the endpoints [7]. We repeat the analysis in Appendix B.2 of [7] and briefly summarize the results for this particular case. i) For ω → 0 we can deform the contour c ± i∞ to enclose all poles and branch cuts in the right half-plane with respect to Re(η) = c. Therefore, the relevant contribution is obtained from Γ(1 − η) and the leading term in ω/ω 0 is of the form…”

Section: Discussionmentioning

confidence: 94%

“…We have −1 < a < 0 and choose −1 − a < c < 1 + a. The form of (C.3) is equivalent to the soft approximation of the light-meson LCDA near the endpoints [7]. We repeat the analysis in Appendix B.2 of [7] and briefly summarize the results for this particular case.…”

Section: Discussionmentioning

confidence: 99%

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Light-cone distribution amplitudes of heavy mesons with QED effects

Beneke,

Böer,

Toelstede

et al. 2022

Preprint

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We discuss the QED-generalized leading-twist light-cone distribution amplitudes of heavy mesons, that appear in QCD×QED factorization theorems for exclusive twobody B decays. In the presence of electrically charged particles, these functions should be more appropriately regarded as soft functions for heavy-meson decays into two back-to-back particles. In this paper, we derive the one-loop anomalous dimension of these soft functions and study their behaviour under renormalization-scale evolution, obtaining an exact solution in Laplace space. In addition, we provide numerical solutions for the soft functions and analytical solutions to all orders in the strong and to first order in the electromagnetic coupling. For the inverse (and inverselogarithmic) moments, we obtain an all-order solution in both couplings. We further provide numerical estimates for QED corrections to the inverse moments.

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Section: Discussionsupporting

confidence: 52%

Section: Discussionsupporting

confidence: 52%

Section: Discussionmentioning

confidence: 94%

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Light-cone distribution amplitudes of heavy mesons with QED effects

Beneke,

Böer,

Toelstede

et al. 2022

Preprint

Self Cite

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“…The D B1 (p 2 ) coefficient as well as its evolution equation can also be obtained from the corresponding B1 operator coefficients and anomalous dimension by taking the limit r → 0 and provide the relevant one-loop expressions. Since the anti-collinear part of the B1 operator has the same field content as the operator relevant to light-cone distribution amplitudes, the extraction of the anomalous dimension is similar to the derivation of the asymptotic kernel for the QED light-meson light-cone distribution amplitude [37], see also [22]. We refer to App.…”

Section: Soft-collinear Limit Of the B1 Matching Coefficientsmentioning

confidence: 99%

Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust

Beneke,

Garny,

Jaskiewicz

et al. 2022

Preprint

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The lack of convergence of the convolution integrals appearing in next-to-leadingpower (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics. We consider thrust distribution in the two-jet region for the flavour-nonsinglet offdiagonal contribution, where a gluon-initiated jet recoils against a quark-antiquark pair, which is power-suppressed. With the help of operatorial endpoint factorization conditions, we obtain a factorization formula, where the individual terms are free from endpoint divergences in convolutions and can be expressed in terms of renormalized hard, soft and collinear functions in four dimensions. This allows us to perform the first resummation of the endpoint-divergent SCET I observables at the leading logarithmic accuracy using exclusively renormalization-group methods. The presented approach relies on universal properties of the soft and collinear limits and may serve as a paradigm for the systematic NLP resummation for other 1 → 2 and 2 → 1 collider physics processes.

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B → Dℓνℓ form factors beyond leading power and extraction of |Vcb| and R(D)

Gao

Huber

et al. 2022

J. High Energ. Phys.

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We investigate the subleading-power corrections to the exclusive B → Dℓνℓ form factors at $$ \mathcal{O} $$ O ($$ {\alpha}_s^0 $$ α s 0 ) in the light-cone sum rules (LCSR) framework by including the two- and three-particle higher-twist contributions from the B-meson light-cone distribution amplitudes up to the twist-six accuracy, by taking into account the subleading terms in expanding the hard-collinear charm-quark propagator, and by evaluating the hadronic matrix element of the subleading effective current "Image missing". Employing further the available leading-power results for the semileptonic B → D form factors at the next-to- leading-logarithmic level and combining our improved LCSR predictions with the recent lattice determinations, we then carry out a comprehensive phenomenological analysis on the semi-leptonic B → Dℓνℓ decay. We extract $$ \left|{V}_{cb}\right|=\left({40.2}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.4}^{+1.4}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\left(\left|{V}_{cb}\right|=\left({40.9}_{-0.5}^{+0.6}{\left|{{}_{\mathrm{th}}}_{-1.0}^{+1.0}\right|}_{\mathrm{exp}}\right)\times {10}^{-3}\right) $$ V cb = 40.2 − 0.5 + 0.6 th − 1.4 + 1.4 exp × 10 − 3 V cb = 40.9 − 0.5 + 0.6 th − 1.0 + 1.0 exp × 10 − 3 using the BaBar (Belle) experimental data, and particularly obtain for the gold-plated ratio R(D) = 0.302 ± 0.003.

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Light-cone distribution amplitudes of light mesons with QED effects

Cited by 17 publications

References 23 publications

Light-cone distribution amplitudes of heavy mesons with QED effects

Light-cone distribution amplitudes of heavy mesons with QED effects

Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust

B → Dℓνℓ form factors beyond leading power and extraction of |Vcb| and R(D)

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