Abstract
Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes. Recently, new ideas have allowed their computation using lattice QCD, which should provide us with a general, fully relativistic determination. We present the first lattice calculation of the ηc-meson distribution amplitude at leading twist. Starting from the relevant matrix element in discrete Euclidean space on a set of Nf = 2 CLS ensembles, we explain the method to connect to continuum Minkowski spacetime. After addressing several sources of systematic uncertainty, we compare to Dyson-Schwinger and non-relativistic QCD determinations of this quantity. We find significant deviations between the latter and our result even at small Ioffe times.
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Acknowledgments
The work by J.M. Morgado Chávez has been supported by P2IO LabEx (ANR-10-LABX-0038) in the framework of Investissements d’Avenir (ANR-11-IDEX-0003-01). The work by T. San José is supported by Agence Nationale de la Recherche under the contract ANR-17-CE31-0019. This project was granted access to the HPC resources of TGCC (2021-A0100502271, 2022-A0120502271 and 2023-A0140502271) by GENCI. The authors thank Michael Fucilla, Cédric Mezrag, Lech Szymanowski, and Samuel Wallon for valuable discussions.
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Blossier, B., Mangin-Brinet, M., Morgado Chávez, J.M. et al. The distribution amplitude of the ηc-meson at leading twist from lattice QCD. J. High Energ. Phys. 2024, 79 (2024). https://doi.org/10.1007/JHEP09(2024)079
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DOI: https://doi.org/10.1007/JHEP09(2024)079