Two- and three-meson scattering amplitudes with physical quark masses from lattice QCD
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911056931061760 |
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| author | Dawid, Sebastian M. Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. Skinner, Sarah |
| author_facet | Dawid, Sebastian M. Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. Skinner, Sarah |
| contents | We study systems of two and three mesons composed of pions and kaons at maximal isospin using four CLS ensembles with $a\approx 0.063\;$fm, including one with approximately physical quark masses. Using the stochastic Laplacian-Heaviside method, we determine the energy spectrum of these systems including many levels in different momentum frames and irreducible representations. Using the relativistic two- and three-body finite-volume formalism, we constrain the two and three-meson K matrices, including not only the leading $s$ wave, but also $p$ and $d$ waves. By solving the three-body integral equations, we determine, for the first time, the physical-point scattering amplitudes for $3π^+$, $3K^+$, $π^+π^+ K^+$ and $K^+ K^+ π^+$ systems. These are determined for total angular momentum $J^P=0^-$, $1^+$, and $2^-$. We also obtain accurate results for $2π^+$, $π^+ K^+$, and $2K^+$ phase shifts. We compare our results to Chiral Perturbation Theory, and to phenomenological fits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two- and three-meson scattering amplitudes with physical quark masses from lattice QCD Dawid, Sebastian M. Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. Skinner, Sarah High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory We study systems of two and three mesons composed of pions and kaons at maximal isospin using four CLS ensembles with $a\approx 0.063\;$fm, including one with approximately physical quark masses. Using the stochastic Laplacian-Heaviside method, we determine the energy spectrum of these systems including many levels in different momentum frames and irreducible representations. Using the relativistic two- and three-body finite-volume formalism, we constrain the two and three-meson K matrices, including not only the leading $s$ wave, but also $p$ and $d$ waves. By solving the three-body integral equations, we determine, for the first time, the physical-point scattering amplitudes for $3π^+$, $3K^+$, $π^+π^+ K^+$ and $K^+ K^+ π^+$ systems. These are determined for total angular momentum $J^P=0^-$, $1^+$, and $2^-$. We also obtain accurate results for $2π^+$, $π^+ K^+$, and $2K^+$ phase shifts. We compare our results to Chiral Perturbation Theory, and to phenomenological fits. |
| title | Two- and three-meson scattering amplitudes with physical quark masses from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2502.17976 |