Two body nonleptonic decays of $Ω_{b}\rightarrow Ω_{c}$ beyond tree level

TL;DR

The paper studies nonleptonic two-body decays $Ω_b → Ω_c M$ of a bottom baryon using QCD factorization to compute amplitudes across tree, color-suppressed, and penguin topologies. It expresses amplitudes via the effective Hamiltonian $H_{eff}$ with Wilson coefficients $C_i(μ)$ and factorization into meson decay constants and baryon transition form factors $F_i(q^2)$, $G_i(q^2)$ with effective coefficients $a_1(μ)$ and $a_2(μ)$. Form factors for the $Ω_b → Ω_c$ transition are taken from QCD sum rules (Neishabouri 2024) up to dimension-6, evaluated at $q^2 = m_{Meson}^2$, yielding decay rates and branching fractions. The results show dominant tree contributions with non-negligible color-suppressed and penguin effects, in general agreement with other approaches, and furnish predictions for ongoing and future experiments and CP-violation studies in heavy-baryon decays.

Abstract

We study the non-leptonic decays of $Ω_{b}\rightarrow Ω_{c} P (V)$ with eight pseudoscalar and vector mesons using the QCD factorization approach. We analyze all relevant topologies (the tree-level, color-suppressed, and penguin) of these decays and calculate the decay amplitude for each separately. We determine the decay rates, branching ratios and compare our results with those from other theoretical predictions. The results obtained may be useful for the analysis of the related data in both ongoing and future experiments.

Figures (2)

• Figure 1: All possible flavor-color topologies for $\Omega_{b}\rightarrow \Omega_{c} M$ decay
• Figure 2: All possible W-loop diagrams (penguin) for $\Omega_{b}\rightarrow \Omega_{c} M$ decay