Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.
Resonance Parameters for the rho-meson from Lattice QCD
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abstract
We present a calculation of the phase-shift for $\pi$-$\pi$ scattering in isospin-1, spin-1 channel in the elastic region. The mass and width of the rho resonance is extracted by fitting these phaseshifts. To vary the scattering momentum we employ asymmetric boxes. We use $N_f = 2$ nHYP-smeared clover fermions and generate two sets of ensembles with pion masses about 315MeV and 227MeV. To determine the phase shifts we compute the energy spectrum both for states at rest and boosted. We employ a variational analysis with interpolating fields including several $q$-$\bar{q}$ and $\pi$-$\pi$ interpolating fields with different scattering momenta.
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Spectral parameters of the $\rho$ resonance from lattice QCD
Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.