A Robust Determination of Antinuclei Production from Dark Matter via Weakly Decaying Beauty Hadrons

Recently, the Alpha Magnetic Spectrometer (AMS-02) Collaboration presented tentative evidence for the detection of cosmic antihelion-3 (${}^3\overline{\rm He}$) events, alongside a comparable number of antideuterons ($\overline{\rm D}$). If confirmed, these observations could revolutionize our understanding of cosmic-ray production and propagation and/or serve as compelling indirect evidence for dark matter. Given that the detection of cosmic $\overline{\rm D}$ is already at the limit of AMS-02 sensitivity, explaining the observation of ${}^3\overline{\rm He}$ even within the standard coalescence framework poses a significant challenge. It has recently been shown that a previously overlooked mechanism within the Standard Model of particle physics-namely, the production of antihelion via the displaced-vertex decay of $\bar{\Lambda}_b^0$ baryons-could substantially enhance the ${}^3\overline{\rm He}$ flux arising from dark matter-induced processes. In light of these challenges, we present a tuning of Pythia that is consistent with LEP data on the fragmentation function of $b$ quarks into $b$-hadrons-a critical factor for determining the $\bar{\Lambda}_b^0$ multiplicity-and with ALICE and ALEPH data for the $\overline{\rm D}$ and ${}^3\overline{\rm He}$ spectra, which we employ to determine our coalescence model. Our refined Pythia tuning, in conjunction with our coalescence model, results in a predicted branching ratio for the production of ${}^3\overline{\rm He}$ from $\bar{\Lambda}_b^0$ decays that is consistent with the recent upper limit measured by LHCb. Furthermore, our prediction indicates that the contribution of $\overline{\rm D}$ and ${}^3\overline{\rm He}$ from beauty-hadron decays is negligible relative to the direct production from hadronization.