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arXiv · 2502.14348

QCD predictions for physical multimeson scattering amplitudes

Sebastian M. Dawid·Zachary T. Draper·Andrew D. Hanlon·Ben Hörz·Colin Morningstar·Fernando Romero-López·Stephen R. Sharpe·Sarah Skinner
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Abstract

We use lattice QCD calculations of the finite-volume spectra of systems of two and three mesons to determine, for the first time, three-particle scattering amplitudes with physical quark masses. Our results are for combinations of $\pi^+$ and $K^+$, at a lattice spacing $a=0.063\;$fm, and in the isospin-symmetric limit. We also obtain accurate results for maximal-isospin two-meson amplitudes, with those for $\pi^+ K^+$ and $2K^+$ being the first determinations at the physical point. Dense lattice spectra are obtained using the stochastic Laplacian-Heaviside method, and the analysis leading to scattering amplitudes is done using the relativistic finite-volume formalism. Results are compared to chiral perturbation theory and to phenomenological fits to experimental data, finding good agreement.

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Sebastian M. Dawid, Zachary T. Draper, Andrew D. Hanlon, Ben Hörz, Colin Morningstar, Fernando Romero-López, Stephen R. Sharpe, Sarah Skinner. 2025-02-20. QCD predictions for physical multimeson scattering amplitudes. https://arxiv.org/abs/2502.14348

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