Search for three body pion decays ${\pi }^{+}\to l^{+}\nu X$

Abstract

The three body pion decays ${\pi }^{+}\to l^{+}\nu X(l=e,\mu )$, where $X$ is a weakly interacting neutral boson, were searched for using the full data set from the PIENU experiment. An improved limit on $\Gamma ({\pi }^{+}\to e^{+}\nu X)/\Gamma ({\pi }^{+}\to {\mu }^{+}{\nu }_{\mu })$ in the mass range $0<m_X<120$ MeV/$c^2$ and a first result for $\Gamma ({\pi }^{+}\to {\mu }^{+}\nu X)/\Gamma ({\pi }^{+}\to {\mu }^{+}{\nu }_{\mu })$ in the region $0<m_X<33.9$ MeV/$c^2$ were obtained. The Majoron-neutrino coupling model was also constrained using the current experimental result of the ${\pi }^{+}\to e^{+}{\nu }_e(\gamma )$ branching ratio.

arXiv comment8 pages, 7 figures. arXiv admin note: text overlap with arXiv:2006.00389

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