HADRON2023

The a1(1260) meson from lattice QCD and phenomenology

8 Jun 2023, 15:35

20m

DAD - Room 5L (Genova, Italy)

Contributed Light meson spectroscopy Light meson spectroscopy

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.

Presentation materials

Doering_Hadron_2023_The_a1_1260_meson_from_lattice_QCD_and_phenomenology .pdf