Tetraquark-adequate formulation of QCD sum rules

Abstract

We study details of QCD sum rules à la Shifman-Vainshtein-Zakharov for exotic tetraquark states. We point out that duality relations for correlators involving exotic currents have fundamental differences compared with the duality relations for the correlators of bilinear quark currents: namely, the $O(1)$ and $O({\alpha }_s)$ [${\alpha }_s$ the strong coupling constant] terms in the operator product expansion for the exotic correlators exactly cancel against the contributions of the two-meson states on the hadron side of QCD sum rules. As a result, the tetraquark properties turn out to be related to the specific non-factorizable parts of the exotic Green functions; the relevant non-factorizable diagrams start at order $O({\alpha }_s^2)$.

arXiv comment6 pages, version to be published in Physical Review D

References in corpus (17)

• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Exotics: Heavy Pentaquarks and Tetraquarks
• New Charmonium States in QCD Sum Rules: a Concise Review
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• A $bb\bar{b}\bar{b}$ di-bottomonium at the LHC?
• Narrow Tetraquarks at Large N
• The effective continuum threshold in dispersive sum rules
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models
• Tetraquarks in the 1/N Expansion: a New Appraisal
• Narrow exotic tetraquark mesons in large-$N_c$ QCD
• Tetraquarks in the 1/N expansion and meson-meson resonances
• Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators
• Tetraquark and two-meson states at large $N_{\mathrm{c}}$
• Are there narrow flavor-exotic tetraquarks in large-$N_c$ QCD?

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