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NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules

Wu, Ren-Hua; Zuo, Yu-Sheng; Wang, Chen-Yu 1; Meng, Ce ; Ma, Yan-Qing; Chao, Kuang-Ta
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)

Abstract:

We study the mass spectra of $\overline{Q}Q\overline{Q}Q (Q = c, b)$ systems in QCD sum rules with the complete next-to-leading order (NLO) contribution to the pertabative QCD part of the correlation functions. Instead of meson-meson or diquark-diquark currents, we use diagonalized currents under operator renormalization.
Numerical results show that the NLO corrections are very important for the $\overline{Q}Q\overline{Q}Q$ system, because they not only give significant contributions but also reduce parameter dependence and makes Borel platform more distinct, especially for the $\overline{b}b\overline{b}b$ in the $\overline{MS}$ scheme. We find that the operator mixing induced by NLO corrections is crucial to understand the color structure of the states. We use currents that have good perturbative convergence in our phenomenological analysis.
We get three $J^{PC} = 0^{++}$ states, with masses $6.35^{+0.20}_{−0.17}$ GeV, $6.56^{+0.18}_{−0.20}$ GeV and $6.95^{+0.21}_{−0.31}$ GeV, respectively. The first two seem to agree with the broad structure around 6.2∼6.8 GeV measured by the LHCb collaboration in the $J/\psi J/\psi$ spectrum, and the third seems to agree with the narrow resonance X(6900). ... mehr


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DOI: 10.5445/IR/1000153139
Veröffentlicht am 25.11.2022
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Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2022
Sprache Englisch
Identifikator KITopen-ID: 1000153139
Umfang 60 S.
Vorab online veröffentlicht am 27.01.2022
Nachgewiesen in arXiv
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