  In this article, we introduce a new effective model for the Kantowski-Sachs
spacetime in the context of loop quantum gravity, and we use it to evaluate
departures from general relativity in the case of Schwarzschild black hole
interior. The model is based on an effective Hamiltonian constructed via the
regularized Thiemann identities in the $\bar \mu$-scheme. We show that, in
contrast with the $\mu_o$-scheme studied in [1], the classical limit imposes
certain alterations of Thiemann identities as well as restrictions on the
choice of regulators. Once we define the Hamiltonian, we derive the equations
of motion for the relevant variables and proceed with the solving using
numerical methods, focusing on a specific choice of $\bar \mu$. We establish
that for a Schwarzschild black hole interior, the effective dynamics leads to a
resolution of the classical singularity and the emergence of an anti-trapped
region bounded by a second Killing horizon. We then perform a comparison of the
dynamical trajectories and their properties obtained in the new model and some
models present in the literature. We finally conclude with few comments on
other choices of the regulators and their consequences.
