Higher twist corrections to $B$-meson decays into a proton and dark antibaryon from QCD light-cone sum rules

Abstract

The $B$-Mesogenesis framework anticipates decays of $B$ mesons into a dark antibaryon $\Psi$ and various Standard Model baryons. Here, we focus on the exclusive decay process $B\to p \Psi$ observed as a proton and missing energy in the final state and determine the decay width by employing the QCD light-cone sum rule framework. We include all contributions up to twist six to the nucleon distribution amplitudes in order to parameterize the non-perturbative effects in the operator product expansion. We obtain the decay width and branching fraction with respect to the mass $m_{\Psi}$ of the dark antibaryon $\Psi$, normalized to the model-dependent effective four-fermion coupling.