Kπ scattering and the K* decay width from lattice QCD

K* mesons and in particular the K*(892) were frequently addressed in lattice simulations, but always while ignoring that the K*(892) decays strongly. We present an exploratory extraction of the masses and widths for the K* resonances by simulating K pi scattering in p waves with I 1/2 on the lattice. The K pi system with total momenta P = 2 pi/Le(z), 2 pi/L(e(x) + e(y)), and 0, that allows the extraction of phase shifts at several values of K pi relative momenta, is studied. A Breit-Wigner fit of the phase renders a K*(892) resonance mass m(lat) = 891 +/- 14 MeV and the K*(892) -> K pi coupling g(lat) = 5.7 +/- 1.6 compared to the experimental values m(exp) approximate to 892 MeV and g(exp) = 5.72 +/- 0: 06, where g parametrizes the K* -> K pi width. When extracting the phase shift around the K*(1410) and K-2*(1430) resonances, we take into account the mixing of p waves with d waves and assume that the scattering is elastic in our simulation. This gives us an estimate of the K*(1410) resonance mass m(lat) = 1.33 +/- 0.02 GeV compared to m(exp) = 1.414 -> 0.0015 GeV, assuming the experimental K*(1410)-> K pi coupling. We contrast the resonant I = 1/2 channel with the repulsive nonresonant I = 3/2 channel, where the phase is found to be negative and small, in agreement with experiment.