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ω meson from lattice QCD

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arxiv 2407.16659 v2 pith:O25C4K52 submitted 2024-07-23 hep-lat hep-phnucl-th

ω meson from lattice QCD

classification hep-lat hep-phnucl-th
keywords omegalatticemesonformalismmassmathrmstateswell
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\sqrt{s_\omega}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $\omega-\rho$ mass difference as $29(15)\,\mathrm{MeV}$.

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Cited by 9 Pith papers

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  1. Emergence of the $\pi(1300)$ Resonance from Lattice QCD

    hep-lat 2025-10 conditional novelty 8.0

    Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.

  2. Resonances at finite temperature from the lattice

    hep-lat 2026-07 conditional novelty 7.0

    Thermoparticle states are used to generalize the two-particle finite-volume quantization condition to finite temperature, keeping the kinematic function finite at all real energies and opening a route to thermal reson...

  3. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 conditional novelty 6.5

    Nine-channel unitary three-body fits to COMPASS lineshapes reproduce the a1(1420) enhancement by triangle singularity without requiring a genuine a1(1420) pole.

  4. Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$

    hep-ph 2026-07 conditional novelty 6.0

    A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.

  5. Three-body unitary determination of the $f_1(1285)$ and $f_1(1420)$ pole positions

    hep-ph 2026-06 unverdicted novelty 6.0

    Fitting a spectator-isobar three-body unitary amplitude to BESIII K0S K0S pi0 data yields poles at (1277±2±1)-i(12±1±0) MeV for f1(1285) and (1435±2±7)-i(40±2±1) MeV for f1(1420), with the latter traced to a K Kbar* q...

  6. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.

  7. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 unverdicted novelty 5.0

    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

  8. Lattice QCD study of the $K^*(892)$ resonance at the physical point

    hep-lat 2026-03 unverdicted novelty 5.0

    Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.

  9. Effects of Final State Interactions on Landau Singularities

    hep-ph 2024-07 unverdicted novelty 5.0

    Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.