Speaker
Description
We present a chiral non-abelian dark sector model featuring a spontaneous $SU(3) \times SU(2) \rightarrow SU(3)$ symmetry breaking, resulting in the formation of dark mesons and baryons. The absence of a gauged $U(1)$ symmetry allows the dark baryons, typically the dark protons, to potentially serve as dark matter candidates. The model incorporates HNLs and explores scenarios with enhanced active-to-sterile neutrino mixing. We analyze the mixing between the dark meson $\pi_D$ and the SM mesons $\pi^0$ and $\eta$. Utilizing this mixing and the known $\pi^0$ flux at neutrino facilities, we investigate the decay of $\pi_D$ into pairs of HNLs. This study presents a novel approach where the $\nu_D$ emerges directly from the $\pi^0$ decay, providing distinct kinematic distributions compared to conventional neutrino mixing studies. Our investigation includes the DUNE and ICARUS near detectors, as well as stopped pion facilities and FASER$\nu$. Additionally, we consider the atmospheric $\pi^0$ flux for $\nu_D$ production, offering intriguing possibilities for the DUNE far detector.