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Nuclear

2023

Lattice QCD

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Full-Text Articles in Physics

Prospects For ๐›พ*๐›พ* โ†’ ๐œ‹๐œ‹ Via Lattice Qcd, Raรบl Briceรฑo, Andrew W. Jackura, Arkaitz Rodas, Juan V. Guerrero Jan 2023

Prospects For ๐›พ*๐›พ* โ†’ ๐œ‹๐œ‹ Via Lattice Qcd, Raรบl Briceรฑo, Andrew W. Jackura, Arkaitz Rodas, Juan V. Guerrero

Physics Faculty Publications

The ๐›พ*๐›พ* โ†’ ๐œ‹๐œ‹ scattering amplitude plays a key role in a wide range of phenomena, including understanding the inner structure of scalar resonances as well as constraining the hadronic contributions to the anomalous magnetic moment of the muon. In this work, we explain how the infinite-volume Minkowski amplitude can be constrained from finite-volume Euclidean correlation functions. The relationship between the finite-volume Euclidean correlation functions and the desired amplitude holds up to energies where 3๐œ‹ states can go on shell, and is exact up to exponentially small corrections that scale like ๐’ช(eโˆ’m๐œ‹L), where L is the spatial extent โ€ฆ