Contraction Diagram Analysis in Pion-Kaon Scattering

Abstract

We study the contributions from the connected and disconnected contraction diagrams to the pion-kaon scattering amplitude within the framework of SU$(4|1)$ partially-quenched chiral perturbation theory. Combining this with a finite-volume analysis, we demonstrate that a lattice calculation of the easier computable connected correlation functions is able to provide valuable information of the noisier disconnected correlation functions, and may serve as a theory guidance for the future refinement of the corresponding lattice techniques.

arXiv commentVersion to appear in Nuclear Physics B

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Cited by in corpus (3)

• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Applicability of the two-particle quantization condition to partially-quenched theories
• Extracting the low-energy constant $L_0^r$ at three flavors from pion-kaon scattering