The γπ → ππ anomaly from lattice QCD and dispersion relations

  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},
Abstract We propose a formalism to extract the γπ → ππ chiral anomaly F3π from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the γ(*)π → ππ amplitude, whose main quark-mass dependence arises from the ππ scattering phase shift and can be derived from chiral perturbation theory via the inverse-amplitude method. With parameters constrained by lattice calculations of the P-wave phase shift, we use this… 

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