Constraints on the mass of the dark antibaryon using $B_d\rightarrow \Lambda \psi_{DS}$ channel in light cone QCD

Abstract

According to the $B$-mesogenesis framework, the baryon asymmetry of the Universe and dark matter can be simultaneously generated through CP-violating $B$-meson oscillations. In this mechanism, $B$-mesons decay into a Standard Model baryon and a dark-sector antibaryon, denoted by $\psi_{DS}$. Within this scenario, we investigate the allowed mass window for $\psi_{DS}$ using Light Cone Sum Rules (LCSR) for $B_d\rightarrow\Lambda \, \psi_{DS}$ decay. To include nonperturbative effects, we employ contributions up to twist-6 of the $\Lambda$ distribution amplitudes in the operator product expansion (OPE). We derive the branching fraction as a function of dark antibaryon mass and, by comparing with the experimental limits by the BaBar and Belle collaborations, determine the mass ranges of $\psi_{DS}$ consistent with the $B$-mesogenesis mechanism.