$ω$ meson from lattice QCD
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929601648787456 |
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| author | Yan, Haobo Mai, Maxim Garofalo, Marco Meißner, Ulf-G. Liu, Chuan Liu, Liuming Urbach, Carsten |
| author_facet | Yan, Haobo Mai, Maxim Garofalo, Marco Meißner, Ulf-G. Liu, Chuan Liu, Liuming Urbach, Carsten |
| contents | Many excited states in the hadron spectrum have large branching ratios to three-hadron final states. Understanding such particles from first principles QCD requires input from lattice QCD with one-, two-, and three-meson interpolators as well as a reliable three-body formalism relating finite-volume spectra at unphysical pion mass values to the scattering amplitudes at the physical point. In this work, we provide the first-ever calculation of the resonance parameters of the $ω$ meson from lattice QCD, including an update of the formalism through matching to effective field theories. The main result of this pioneering study, the pole position of the $ω$ meson at $\sqrt{s_ω}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $ω-ρ$ mass difference as $29(15)\,\mathrm{MeV}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $ω$ meson from lattice QCD Yan, Haobo Mai, Maxim Garofalo, Marco Meißner, Ulf-G. Liu, Chuan Liu, Liuming Urbach, Carsten High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory Many excited states in the hadron spectrum have large branching ratios to three-hadron final states. Understanding such particles from first principles QCD requires input from lattice QCD with one-, two-, and three-meson interpolators as well as a reliable three-body formalism relating finite-volume spectra at unphysical pion mass values to the scattering amplitudes at the physical point. In this work, we provide the first-ever calculation of the resonance parameters of the $ω$ meson from lattice QCD, including an update of the formalism through matching to effective field theories. The main result of this pioneering study, the pole position of the $ω$ meson at $\sqrt{s_ω}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $ω-ρ$ mass difference as $29(15)\,\mathrm{MeV}$. |
| title | $ω$ meson from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2407.16659 |