QCD Predictions for Physical Multimeson Scattering Amplitudes.

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 π^{+} 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 π^{+}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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Publication Details

Journal
Open Access CRIS of the University of Bern
Published
2025-07-11
DOI
https://doi.org/10.48620/90608
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
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article

QCD Predictions for Physical Multimeson Scattering Amplitudes.

Open Access CRIS of the University of Bern
Quantum Chromodynamics and Particle Interactions
article

QCD Predictions for Physical Multimeson Scattering Amplitudes.

article en

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 π^{+} 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 π^{+}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.

Open Access CRIS of the University of Bern
Institute of Theoretical Physics (CN)
Openalex Percentile: Top 80%
Quantum Chromodynamics and Particle Interactions
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