The γπ → ππ anomaly from lattice QCD and dispersion relations
@article{Niehus2021The, title={The $\gamma$$\pi$ → $\pi$$\pi$ anomaly from lattice QCD and dispersion relations}, author={Malwin Niehus and Martin Hoferichter and Bastian Kubis}, journal={Journal of High Energy Physics}, year={2021} }
Abstract
We propose a formalism to extract the γπ → ππ chiral anomaly F3π from calculations in lattice QCD performed at largerthanphysical pion masses. To this end, we start from a dispersive representation of the γ(*)π → ππ amplitude, whose main quarkmass dependence arises from the ππ scattering phase shift and can be derived from chiral perturbation theory via the inverseamplitude method. With parameters constrained by lattice calculations of the Pwave phase shift, we use this…
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