$\omega$ meson from lattice QCD

Abstract

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 $\omega$ 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 $\omega$ meson at $\sqrt{s_{\omega }}=(778.0(11.2)-i3.0(5))\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $\omega -\rho$ mass difference as $29(15)\mathrm{MeV}$.

arXiv comment14 pages, 11 figures, 3 tables. v2: version published in PRL

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• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Study of the electromagnetic Dalitz decay $J/\psi \to e^{+}{e}^{-}{\pi }^0$
• Construction of general $N$-body lattice operators with arbitrary momenta
• Position-space sampling for local multiquark operators in lattice QCD using distillation and the importance of tetraquark operators for $T_{cc}(3875{)}^{+}$
• Emergence of the $\pi (1300)$ Resonance from Lattice QCD
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects
• Higher order quantization conditions for two-body scattering with spin