Study of the pion-mass dependence of $ρ$-meson properties in lattice QCD
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909137543102464 |
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| author | Yu, Kang Li, Yan Wu, Jia-Jun Leinweber, Derek B. Thomas, Anthony W. |
| author_facet | Yu, Kang Li, Yan Wu, Jia-Jun Leinweber, Derek B. Thomas, Anthony W. |
| contents | We collect spectra extracted in the $I=\ell=1$ $ππ$ sector provided by various lattice QCD collaborations and study the $m_π$ dependence of $ρ$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified analysis, the coupling constant and cutoff mass, characterizing the $ρ- ππ$ vertex, are both found to be weakly dependent on $m_π$, while the mass of the bare $ρ$, associated with a simple quark-model state, shows a linear dependence on $m_π^2$. Both the lattice results and experimental data can be described well. Drawing on HEFT's ability to describe the pion mass dependence of resonances in a single formalism, we map the dependence of the phase shift as a function of $m_π$, and expose interesting discrepancies in contemporary lattice QCD results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_03903 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Study of the pion-mass dependence of $ρ$-meson properties in lattice QCD Yu, Kang Li, Yan Wu, Jia-Jun Leinweber, Derek B. Thomas, Anthony W. High Energy Physics - Lattice High Energy Physics - Phenomenology We collect spectra extracted in the $I=\ell=1$ $ππ$ sector provided by various lattice QCD collaborations and study the $m_π$ dependence of $ρ$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified analysis, the coupling constant and cutoff mass, characterizing the $ρ- ππ$ vertex, are both found to be weakly dependent on $m_π$, while the mass of the bare $ρ$, associated with a simple quark-model state, shows a linear dependence on $m_π^2$. Both the lattice results and experimental data can be described well. Drawing on HEFT's ability to describe the pion mass dependence of resonances in a single formalism, we map the dependence of the phase shift as a function of $m_π$, and expose interesting discrepancies in contemporary lattice QCD results. |
| title | Study of the pion-mass dependence of $ρ$-meson properties in lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.03903 |