Tetraquark-adequate QCD sum rules for quark-exchange processes

Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We consider quark-hadron duality relations and QCD sum rules for correlators involving exotic tetraquark currents, here specializing to the case of quark-exchange processes. We point out the differences they exhibit with respect to the cases involving ordinary bilinear quark currents. Based on the observation that only diagrams possessing at least four-quark singularities can contribute to the formation of tetraquark states, we show that the quark-hadron duality relations and the corresponding sum rules split into two non-overlapping relations. The ultimate tetraquark-adequate QCD sum rule is concerned only with one of these relations, in which the operator product expansion starts with diagrams of order $O(\alpha_s^2)$.
Original languageEnglish
Article number074029
Number of pages8
JournalPhysical Review D
Volume100
Issue number7
DOIs
Publication statusPublished - 25 Oct 2019

Austrian Fields of Science 2012

  • 103012 High energy physics

Keywords

  • hep-ph

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