Speaker
Description
Recently, formalism has been derived for obtaining the physical amplitudes for $\gamma^\star \to3\pi$, $K \to3\pi$, and other electroweak three-body decays, from finite-volume matrix elements, which can be obtained from lattice QCD calculations of three-point correlation functions. The relation between the finite-volume quantities and the desired infinite-volume amplitudes requires solving integral equations of singular functions. In this work, we provide some non-trivial tests on the aforementioned formalism. In particular, we consider a limit where the three-body final state supports a bound state. For kinematics below the three-body threshold, we demonstrate that the finite-volume matrix elements are accurately described by the well-known formalism for two-body systems.
| Topical area | Hadronic and Nuclear Spectrum and Interactions |
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