Speaker
Description
The pion-pion channel is the benchmark for lattice QCD scattering calculations. In the isospin limit, three channels describe $\pi\pi$ scattering completely, having distinct properties in each channel. The attractive $I=0$ and $I=1$ channels are dominated by the broad $\sigma$ and narrow $\rho$ resonances, respectively, while the $I=2$ channel has no low energy resonance. Our group has calculated the $\sigma$ and $\rho$ resonance properties using elongated boxes to scan the relevant kinematic region at two pion masses. Here we present new results for the isospin-2 channel, thus completing the full study of $\pi\pi$ scattering. In addition, we establish a link to the physical point of all three channels simultaneously using the Inverse Amplitude Method.