Speaker
Michael Doering
(The George Washington University)
Description
The $a_1(1260)$ is cleanly observed in $\tau$ decays and can therefore serve as a testbed for resonant three-body physics. The first calculation of a three-body resonance from lattice QCD and its mapping to the infinite volume is presented. In addition, the resulting three-body unitary amplitude is continued to complex energies allowing for the extraction of the $a_1$ pole and its branching ratios in $(\pi\rho)_S$ and $(\pi\rho)_D$ coupled channels. The very same amplitude can be used to fit experiment in the form of line shape data, paving the way for the consistent understanding of three-body resonance physics from first principles and phenomenology.
Primary author
Michael Doering
(The George Washington University)
