Dark boson mediation of the $\pi^0\rightarrow \gamma e^+ e^-$ decay

TL;DR

This paper explores how introducing dark sector vector particles affects the decay of the neutral pion into a photon and electron-positron pair, providing theoretical predictions relevant for dark matter searches.

Contribution

It extends the standard model by incorporating dark vector particles and calculates their impact on the pion decay width, offering new insights into dark sector interactions.

Findings

Calculated the decay width including dark particle contributions

Extended the theory with dark sector vector interactions

Discussed implications for dark matter detection experiments

Abstract

The phenomenological implications to the decay of the neutral pion from the introduction of new dark particles are discussed. We calculate the contribution to the $\pi^0$ decay width and then we extend the theory by adding dark sector vector particles which interact through $\gamma^\mu$, $\sigma^{\mu\nu}$ and $\sigma^{\mu\nu}\gamma^5$. We calculate the total decay width of $\pi^0\rightarrow \gamma e^+ e^-$ where the electron-positron pair is produced through a decay of a dark meson. The implication of the presented model on the present and future searches for new dark particles is also discussed.