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Complete three-loop QCD corrections to leptonic width of vector quarkonium

Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the order-\(\alpha_s^3\) perturbative corrections to the leptonic decay of the \(\Upsilon\) and \(J/\psi\) with high numerical accuracy, at the lowest order in velocity expansion. We confirm the existing three-loop results in...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Feng, Feng, Yu, Jia, Mo, Zhewen, Pan, Jichen, Wen-Long, Sang, Jia-Yue, Zhang
Format: Article
Language:English
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Summary:Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the order-\(\alpha_s^3\) perturbative corrections to the leptonic decay of the \(\Upsilon\) and \(J/\psi\) with high numerical accuracy, at the lowest order in velocity expansion. We confirm the existing three-loop results in literature. Furthermore, we explicitly consider the complex-valued light-by-light (singlet) contributions. We for the first time also consider the finite charm quark mass effect for \(\Upsilon\) leptonic decay, and obtain a new piece of 3-loop contribution to the anomalous dimension related to the composite NRQCD bilinear of vector current that arises from the nonzero charm quark mass. Based on the complete three-loop NRQCD short-distance coefficients, we also present a comprehensive phenomenological analysis for \(\Upsilon(J/\psi)\) leptonic width.
ISSN:2331-8422