  In the background of several holographic confining backgrounds, we present
the connections between the behaviors of string scattering amplitudes and
mutual information. We lay down the analogies between the logarithmic branch
cut behavior of the string scattering amplitude in $4d$, $ \mathcal{A}_4 $, at
low and medium Mandelstam variable $s$ observed in \cite{Bianchi:2021sug},
which is due to the dependence of the string tension on the holographic
coordinate, and the branch cut behavior observed in mutual information and
critical distance $D_c$ at low-cut-off variable $u_{KK}$ studied in our
previous work \cite{Ghodrati:2021ozc}. It can also be seen that in both cases,
as $s$ or $u_{KK}$ increases, the peaks in the branch cuts fade away in the
form of $\text{Re}\lbrack \mathcal{A}_4 \rbrack \propto s^{-1}$. Then, we used
modular flow and modular Hamiltonian as intermediary concept to further clarify
the observed connection. We discussed how mutual information itself can detect
chaos in various scenarios. In addition, we considered two examples of Compton
scattering between two photons and also the decay of a highly excited string
into two tachyons and scrutinized the pattern of entanglement entropy and the
change in the mutual information in these examples. Then, the kink-kink and
kink-antikink scatterings as simple models of scattering in confining
geometries have been used to examine the fractal structures in the scatterings
of topological defects. Finally, the relationships between Regge conformal
block and quantum error correction codes through pole-skipping and chaos bound
have been postulated. These observed connections can further establish the
ER$=$EPR conjecture and the general interdependence between the scattering
amplitudes and entanglement entropy.
