[Submitted on 26 Feb 2019] (cross-list from hep-ph)
Quark mass dependence of
Malwin Niehus🇩🇪 · Martin Hoferichter🇺🇸 · Bastian Kubis🇩🇪
Usually the simulation of scattering processes in lattice QCD is carried out at unphysically high values of the quark masses. Hence, a method to extrapolate data obtained in lattice calculations to physical masses is needed to allow for comparison between theory and experiment. To obtain a sound extrapolation, dispersion relations and chiral perturbation theory can be invoked. While a simple combined approach known as the inverse amplitude method allows for a successful extrapolation of data, a more complicated framework is needed for inelastic processes such as . By employing a well-established dispersive description, the extrapolation can be performed for both for on-shell as well as virtual photons, the decay is also within the range of applicability. This particular process is interesting due to both its contribution to the anomalous magnetic moment of the muon and its connection to the axial anomaly.
- Comments:
- 10 pages, 2 figures, proceedings for The 9th International Workshop on Chiral Dynamics, Durham, North Carolina, USA, September 17-21, 2018
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 1902.10150 [pdf]