Dark boson mediation of the ${\pi }^0\to \gamma e^{+}{e}^{-}$ decay

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 ${\pi }^0\to \gamma e^{+}{e}^{-}$ 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.

arXiv comment12 pages, 12 figures

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