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arXiv · 1710.08169

Electromagnetic decays of the neutral pion investigated in the Dyson-Schwinger formalism

Esther Weil·Gernot Eichmann·Christian S. Fischer·Richard Williams
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Abstract

We summarize recent work in determining the transition form factor (TFF) of the neutral pion ($\pi^0 \to \gamma^*\gamma^*$), by solving the non-perturbative Dyson-Schwinger and Bethe-Salpeter equations. We first study the transition form factor, followed by the rare decay $\pi^0 \to e^+ e^- $, which requires the TFF as input. In addition to the aspects of truncation required to compute the solution, we discuss unexpected behavior in the large $Q^2$ regime (with $Q^2$ the photon virtuality), and also touch on a path deformation in the complex plane to access the total decay rate for the rare decay.

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Esther Weil, Gernot Eichmann, Christian S. Fischer, Richard Williams. 2017-10-23. Electromagnetic decays of the neutral pion investigated in the Dyson-Schwinger formalism. https://doi.org/10.1088/1742-6596%2F1024%2F1%2F012032

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