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

TL;DR

This paper investigates the mass range of a dark-sector antibaryon produced in B-meson decays, using Light Cone Sum Rules and experimental data to support the B-mesogenesis framework for matter-antimatter asymmetry.

Contribution

It provides a novel analysis of the allowed mass window for dark antibaryons in B-meson decays using LCSR and experimental constraints, advancing the understanding of B-mesogenesis.

Findings

Derived the branching fraction as a function of dark antibaryon mass.

Identified the mass ranges of $oldsymbol{ ext{psi}_{DS}}$ consistent with experimental limits.

Supported the viability of B-mesogenesis as a mechanism for baryon asymmetry.

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 non-perturbative 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.