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$ρ$ and $K^*$ resonances on the lattice at nearly physical quark masses and $N_f=2$

Working with a pion mass $m_π\approx 150$ MeV, we study $ππ$ and $Kπ$ scattering using two flavours of non-perturbatively improved Wilson fermions at a lattice spacing $a\approx 0.071$ fm. Employing two lattice volumes with linear spatial extents of $N_s=48$ and $N_s=64$ points and moving frames, we extract the phase shifts for p-wave $ππ$ and $Kπ$ scattering near the $ρ$ and $K^*$ resonances.Comparing our results to those of previous lattice studies, that used pion masses ranging from about 200 MeV up to 470 MeV, we find that the coupling $g_{ρππ}$ appears to be remarkably constant as a function of $m_π$.

preprint2016arXivOpen access

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