$\rho$ and $K^{\ast }$ resonances on the lattice at nearly physical quark masses and $N_f=2$

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 $K^{\ast }$ 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 $m_{\pi }$.