  An increasing number of experimental measurements from the BESIII, Belle, and
Belle-II collaborations encourage investigations into charmed baryon two-body
decay processes. By including contributions from the penguin diagrams that are
ignored in previous studies, we perform a global analysis with SU(3) flavor
symmetry. Assuming all form factors are real, we achieve a remarkable minimal
$\chi^{2}/d.o.f = 0.788$ and find that the contribution of the amplitude
proportional to $V_{cb}^*V_{ub}$ is of the order $\sim 0.01$, comparable with
the contribution of the tree-level diagram. Additionally, by using the KPW
theorem to reduce the number of amplitudes from 13 to 7 in the leading
contribution, it becomes possible to consider the complex form factor case for
the leading IRA amplitude in the global analysis. However, the analysis of
complex form factors significantly conflicts with the experimental data
$Br(\Xi_c^0\to\Xi^-\pi^+)$, and by excluding this data, $\chi^2/d.o.f$ is
reduced from 5.95 to 1.19. Although the analysis of complex form factors shows
a significant central value of the penguin diagram contribution, the large
errors from the corresponding form factors make it a challenge to precisely
determine its true contribution. Consequently, the direct CP violation in decay
processes is predicted to be approximately zero. With more data in future
experiments, the penguin diagram contribution with the amplitude proportional
to $V_{cb}^*V_{ub}$ will be precisely determined, allowing for a more accurate
prediction of CP violation. Our analysis necessitates further theoretical
investigations and experimental measurements in the future.
