  We study the semiclassical behavior of Lorentzian
Engle-Pereira-Rovelli-Livine (EPRL) spinfoam model, by taking into account the
sum over spins in the large spin regime. We also employ the method of
stationary phase analysis with parameters and the so called, almost-analytic
machinery, in order to find the asymptotic behavior of the contributions from
all possible large spin configurations in the spinfoam model. The spins
contributing the sum are written as ${J}_f=\lambda {j}_f$ where $\l$ is a large
parameter resulting in an asymptotic expansion via stationary phase
approximation. The analysis shows that at least for the simplicial Lorentzian
geometries (as spinfoam critical configurations), they contribute the leading
order approximation of spinfoam amplitude only when their deficit angles
satisfy $\gamma{\Theta}_f\leq\lambda^{-1/2}$ mod $4\pi\mathbb{Z}$. Our analysis
results in a curvature expansion of the semiclassical low energy effective
action from the spinfoam model, where the UV modifications of Einstein gravity
appear as subleading high-curvature corrections.
