Abstract
Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale from the purely hadronic effects by matching the QCD LCDA to the convolution of a perturbative function with the universal, quark-mass independent LCDA defined in heavy-quark effective theory. This factorization allows to resum potentially large logarithms between ΛQCD and mQ as well as between mQ and the scale Q of the hard process in the production of boosted heavy mesons at colliders. As an application we derive new theoretical predictions for the branching ratio of the decay W± → B±γ. Furthermore, we provide phenomenological models for the QCD LCDAs of both the \( \overline{B} \) and D mesons expressed as expansions in Gegenbauer polynomials.
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Acknowledgments
We thank Matthias König, Philipp Böer and Yao Ji for useful discussions. MB thanks the particle theory group at UC Berkeley and LBL, and GF the Department of Physics and Astronomy of the University of South Carolina for hospitality while this work was completed. This research was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Sino-German Collaborative Research Center TRR110 “Symmetries and the Emergence of Structure in QCD” (DFG Project-ID 196253076, NSFC Grant No. 12070131001, — TRR 110).
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Beneke, M., Finauri, G., Vos, K.K. et al. QCD light-cone distribution amplitudes of heavy mesons from boosted HQET. J. High Energ. Phys. 2023, 66 (2023). https://doi.org/10.1007/JHEP09(2023)066
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DOI: https://doi.org/10.1007/JHEP09(2023)066