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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.10619 |
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| _version_ | 1866911084417384448 |
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| author | Cao, Xiong-Hui Guo, Feng-Kun Guo, Zhi-Hui Li, Qu-Zhi |
| author_facet | Cao, Xiong-Hui Guo, Feng-Kun Guo, Zhi-Hui Li, Qu-Zhi |
| contents | A comprehensive analysis of $πK\rightarrow πK$ and $ππ\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion relations is used to describe lattice QCD data at $m_π=391$ MeV. In the present analysis, the amplitudes for the $S$- and $P$-waves are formulated by combining the constraints of analyticity, unitarity, and crossing symmetry, fulfilling Roy-Steiner-type equations. We use these results to investigate the low-lying strange-meson resonances and resolve the instability problem tied to analytic continuation in prior lattice QCD studies based on the $K$-matrix formalism. At $m_π=391$ MeV, the rigorous Roy-Steiner-type equation approach allows us to determine the $S$-wave scattering lengths, $m_πa_0^{1/2}=\left(0.92_{-0.28}^{+0.06}\right)$, $m_πa_0^{3/2}=-\left(0.32_{-0.02}^{+0.05}\right)$, and the $κ$ (also known as $K_0^*(700)$) pole position, $\sqrt{s_κ}=\left(966_{-24}^{+41}-i 198_{-17}^{+38}\right)$ MeV. We also provide a detailed analysis of the complex validity domain of the Roy-Steiner-type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data Cao, Xiong-Hui Guo, Feng-Kun Guo, Zhi-Hui Li, Qu-Zhi High Energy Physics - Phenomenology A comprehensive analysis of $πK\rightarrow πK$ and $ππ\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion relations is used to describe lattice QCD data at $m_π=391$ MeV. In the present analysis, the amplitudes for the $S$- and $P$-waves are formulated by combining the constraints of analyticity, unitarity, and crossing symmetry, fulfilling Roy-Steiner-type equations. We use these results to investigate the low-lying strange-meson resonances and resolve the instability problem tied to analytic continuation in prior lattice QCD studies based on the $K$-matrix formalism. At $m_π=391$ MeV, the rigorous Roy-Steiner-type equation approach allows us to determine the $S$-wave scattering lengths, $m_πa_0^{1/2}=\left(0.92_{-0.28}^{+0.06}\right)$, $m_πa_0^{3/2}=-\left(0.32_{-0.02}^{+0.05}\right)$, and the $κ$ (also known as $K_0^*(700)$) pole position, $\sqrt{s_κ}=\left(966_{-24}^{+41}-i 198_{-17}^{+38}\right)$ MeV. We also provide a detailed analysis of the complex validity domain of the Roy-Steiner-type equations. |
| title | Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.10619 |