  Working with a pion mass $m_\pi \approx 150$ MeV, we study $\pi\pi$ and
$K\pi$ 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 $\pi\pi$ and $K\pi$ scattering
near the $\rho$ 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 $g_{\rho\pi\pi}$ appears to be remarkably
constant as a function of $m_{\pi}$.
