B Meson Semi-Invisible Decays via Perturbative QCD

Abstract

This paper focuses on the dark sector decay processes of $B$ mesons ($B\to {\mathcal{B}}_8+$ invisible). Using the perturbative QCD (pQCD) approach combined with flavor symmetry analysis, we calculate the branching ratios for decays from $B$ mesons into light baryons and dark baryons within two distinct $B$-Mesogenesis scenarios. A detailed discussions of the form factor $B\to {\mathcal{B}}_8$ are presented. Based on the derived form factors and effective couplings, we then reach the final numerical analysis. The results show that the branching ratios are sizable, especially for $B^0\to \hat{I}›\ddot{I}ˆ$ and $B_s^0\to \hat{I}{ž}^0\ddot{I}ˆ$ in Type-I model, with values on the order of $\mathcal{O}(10^{-5})$ . Such processes are expected to facilitate the search for dark matter at hadron colliders and B factories.

23 pages, 6 figures