  This paper proposes an alternative regularization method for handling the
ultraviolet behavior of entanglement entropy. Utilizing an $i\epsilon$
prescription in the Euclidean double cone geometry, it accurately reproduces
the universal behavior of entanglement entropy. The method is demonstrated in
the free boson theory in arbitrary dimensions and two-dimensional conformal
field theories. The findings highlight the effectiveness of the $i\epsilon$
regularization method in addressing ultraviolet issues in quantum field theory
and gravity, suggesting potential applications to other calculable quantities.
