Speaker
Description
We extend the scope of the extraction of the electromagnetic form factor of the pion, $f_\pi$, from lattice QCD.
In the past, the calculation of electroweak induced transitions to two hadron states has been restricted to the elastic region.
We implemented the technology required to calculate $f_\pi$ beyond the first inelasticity, specifically in a lattice with heavier than physical pions into the coupled channel region of $\pi\pi/K\overline{K}$.
Additionally, this method determines the isovector timelike kaon form factor.
Furthermore, we also study a dispersive representation of $f_\pi$ to constrain the spacelike and timelike data extracted from the lattice with a unified approach.
This work lays the foundation to study the internal structure, and potentially the nature, of resonances that decay into multiple channels, e.g. the exotic $\pi_1$ meson.
