Tetraquark-adequate formulation of QCD sum rules

Author(s)
Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian
Abstract

We study details of QCD sum rules \`a 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 $O(\alpha_s^2)$.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW), Lomonosov Moscow State University (MSU), Universität Wien, Université Paris-Saclay
Journal
Physical Review D
Volume
100
No. of pages
6
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.100.014010
Publication date
07-2019
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
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